02341_02431_03241_03421_04231_04321_40231_40321<br /><br />

Counting sequence:<br />
1, 1, 2, 6, 24, 112, 568, 3024, 16600, 93006, 528584, 3035320, 17564578, 102240076, 597846422, 3508568156, 20650632872, 121833050204, 720184089926, 4264086995762, 25281302805534, 150062663931182, 891603384910054, 5301954478323184, 31551163994455694, 187874622018671806, 1119332600241923080, 6672043775564440710, 39787089897383962884, 237349068069125949034, 1416369289977103368190, 8454601945042259809198, 50480508406072479686844, 301478367335070167545936, 1800860088388253531498652, 10759348420810266695138128, 64293349359587981316139316, 384249279291748668425177078, 2296786743876561119984005588, 13730402334021909475254000144, 82091053162143290799074686022, 490855766001392469936818786796, 2935306619141060708328146201146, 17554601387402527802692068476108, 104993682750824357596648967583684, 628010871068521684008862931015988, 3756646495955328434977594576672546, 22472961313131670084591888511222698, 134445088122704129569363270783176962, 804363380604041938856694878112059662, 4812609087021102012584604670945391610, 28795738299437665764320837729805186400, 172303348109615189339855532815984750554, 1031040541374383615301309651383399328966, 6169828195702993970735060106193511461124, 36921945827378868586825274923117371312766, 220957752923751915959609278697696788208328, 1322349087049036964875619929983063061319034, 7913968915443448852956794552255780495391090, 47364516610127650095783748988012820133754830, 283479523661327691373915610500019363736099512, 1696677963862337103272161879893132999250537784, 10155134063047447503322383090302392868412670712, 60782679901684653279162131261030544153942238088, 363815700033785166867413293968693085228280640904, 2177659360645782432237771665680446859699904640838, 13034816393838615903901084112662022532592777272536, 78023590120509581946543441546591393305052382957088, 467038400021120503302450250264311992191170707251842, 2795661175404068795094162486311402005180093861936660, 16734834767785722006052569963441865052525947052789590, 100175831668969792320152711029548605039651458333552948, 599665174115313803735000947090037446671244581965199640, 3589705086279158876398946888729462024479830426027748916, 21488818225241562235769848934532284734535431787630713334, 128638177226073308625628639265923788878238356734439402138, 770070678116722704755321883986016919885396065675981609918, 4609931328497267305193133013764292471410293588659222541942, 27596963110432767200157664340720586796974330683684000071686, 165207941429670254157578787453308352163973246158855633775880, 989015662123495903830379314931059423719553436425192557495326, 5920765838296319882864121767389605838699168743575672183495926, 35444995252225617710991718301375882998913236830706092740599416, 212194510235488143313036423442325685566734224794985185664794030, 1270326686697630731646809224067473429877593634897612601789906980, 7604989804870245735134119080826406913259391213745558458057499154, 45528534898152208946853720915494014314819636821584994759465459550, 272565216828454515736973070379046374240018608900249615398145482214, 1631769499698228429873313757026827750331768361809800280529781109484, 9768968681112674029478130090290723851635219227182374205054626545096, 58484403408722035225622761255023579528571046328641627739728611578700, 350132778366191373350342651040872831277107130282707135040938498501432, 2096171241049631081346627756681488156733185836307952158719828328790324, 12549370947362975554164204825535525859662628908087964595339947167288094, 75130849227679162527473276289694376273298893830235470520283794033858132, 449796133194721004073550951675340887667710912334833474060281848564050536, 2692862360832687867126438080287357166291037163438578284266955966843642550, 16121801027455052054319486427287003529974250025124538148829011206444105316, 96519234056191192505288895936572766543949144933155278287739946293946467178, 577849891360822265580020857049115823151255493802834821755547389422430035284, 3459529331571584320693095552333029754167964165861985406790481037187195918468<br /><br />


















  Specification 1<br />
  Strategy pack name: insertion_point_placements_req_corrob_symmetries<br />
  Tree: http://www.permpal.com/tree/24657/<br />
  System of equations in Maple syntax:<br />
  
    F[0,x] = F[1,x]+F[2,x]<br />
  
    F[1,x] = 1<br />
  
    F[2,x] = F[3,x]<br />
  
    F[3,x] = F[31,x]*F[4,x]<br />
  
    F[4,x] = F[0,x]+F[5,x]<br />
  
    F[5,x] = F[2,x]+F[6,x]<br />
  
    F[6,x] = F[7,x]<br />
  
    F[7,x] = F[31,x]*F[8,x]<br />
  
    F[8,x] = F[32,x]+F[9,x]<br />
  
    F[9,x] = F[10,x]+F[27,x]<br />
  
    F[10,x] = F[11,x]+F[12,x]<br />
  
    F[11,x] = (1+F[11,x])*x+F[11,x]^2<br />
  
    F[12,x] = F[13,x]<br />
  
    F[13,x] = F[14,x]*F[16,x]*F[31,x]<br />
  
    F[14,x] = F[10,x]+F[15,x]<br />
  
    F[15,x] = 2+F[15,x]^2+(-2+x)*F[15,x]<br />
  
    F[16,x] = F[11,x]+F[17,x]<br />
  
    F[17,x] = -F[15,x]+F[18,x]<br />
  
    F[18,x] = 1/F[2,x]*F[19,x]<br />
  
    F[19,x] = -F[771,x]+F[20,x]<br />
  
    F[20,x] = 1/F[31,x]*F[21,x]<br />
  
    F[21,x] = F[22,x]<br />
  
    F[22,x] = F[23,x]<br />
  
    F[23,x] = F[24,x]*F[31,x]<br />
  
    F[24,x] = F[25,x]+F[32,x]<br />
  
    F[25,x] = F[26,x]+F[27,x]<br />
  
    F[26,x] = F[2,x]+F[22,x]<br />
  
    F[27,x] = F[28,x]+F[29,x]<br />
  
    F[28,x] = F[11,x]*F[2,x]<br />
  
    F[29,x] = F[30,x]<br />
  
    F[30,x] = F[16,x]*F[24,x]*F[31,x]<br />
  
    F[31,x] = x<br />
  
    F[32,x] = F[33,x]+F[338,x]<br />
  
    F[33,x] = F[34,x]+F[36,x]<br />
  
    F[34,x] = F[2,x]*F[35,x]<br />
  
    F[35,x] = F[1,x]+F[31,x]<br />
  
    F[36,x] = F[22,x]+F[37,x]<br />
  
    F[37,x] = F[38,x]<br />
  
    F[38,x] = F[31,x]*F[39,x]<br />
  
    F[39,x] = F[40,x]+F[50,x]<br />
  
    F[40,x] = F[41,x]<br />
  
    F[41,x] = F[31,x]*F[42,x]<br />
  
    F[42,x] = F[43,x]+F[44,x]<br />
  
    F[43,x] = F[2,x]+F[40,x]<br />
  
    F[44,x] = F[45,x]+F[49,x]<br />
  
    F[45,x] = F[43,x]+F[46,x]<br />
  
    F[46,x] = F[28,x]+F[47,x]<br />
  
    F[47,x] = F[48,x]<br />
  
    F[48,x] = F[16,x]*F[31,x]*F[42,x]<br />
  
    F[49,x] = F[17,x]*F[2,x]<br />
  
    F[50,x] = F[22,x]+F[51,x]<br />
  
    F[51,x] = F[52,x]<br />
  
    F[52,x] = F[31,x]*F[53,x]<br />
  
    F[53,x] = F[50,x]+F[54,x]<br />
  
    F[54,x] = F[55,x]+F[63,x]<br />
  
    F[55,x] = F[49,x]+F[56,x]<br />
  
    F[56,x] = F[57,x]+F[62,x]<br />
  
    F[57,x] = F[50,x]+F[58,x]<br />
  
    F[58,x] = F[59,x]+F[60,x]<br />
  
    F[59,x] = F[11,x]*F[22,x]<br />
  
    F[60,x] = F[61,x]<br />
  
    F[61,x] = F[16,x]*F[31,x]*F[53,x]<br />
  
    F[62,x] = F[17,x]*F[22,x]<br />
  
    F[63,x] = F[2,x]*F[64,x]<br />
  
    F[64,x] = F[287,x]+F[65,x]<br />
  
    F[65,x] = F[66,x]<br />
  
    F[66,x] = F[31,x]*F[67,x]<br />
  
    F[67,x] = F[68,x]+F[74,x]<br />
  
    F[68,x] = F[69,x]+F[70,x]<br />
  
    F[69,x] = F[11,x]+F[65,x]<br />
  
    F[70,x] = F[71,x]+F[72,x]<br />
  
    F[71,x] = F[11,x]^2<br />
  
    F[72,x] = F[73,x]<br />
  
    F[73,x] = F[16,x]*F[31,x]*F[67,x]<br />
  
    F[74,x] = F[75,x]+F[82,x]<br />
  
    F[75,x] = F[76,x]+F[77,x]<br />
  
    F[76,x] = F[11,x]*F[35,x]<br />
  
    F[77,x] = F[65,x]+F[78,x]<br />
  
    F[78,x] = F[79,x]<br />
  
    F[79,x] = F[31,x]*F[80,x]<br />
  
    F[80,x] = F[64,x]+F[81,x]<br />
  
    F[81,x] = -F[11,x]+F[17,x]<br />
  
    F[82,x] = F[142,x]+F[83,x]<br />
  
    F[83,x] = F[12,x]+F[84,x]<br />
  
    F[84,x] = F[85,x]<br />
  
    F[85,x] = F[31,x]*F[86,x]*F[89,x]<br />
  
    F[86,x] = F[87,x]<br />
  
    F[87,x] = F[31,x]*F[88,x]<br />
  
    F[88,x] = F[10,x]+F[11,x]<br />
  
    F[89,x] = F[101,x]+F[90,x]<br />
  
    F[90,x] = F[1,x]+F[91,x]<br />
  
    F[91,x] = F[92,x]<br />
  
    F[92,x] = F[31,x]*F[93,x]<br />
  
    F[93,x] = F[90,x]+F[94,x]<br />
  
    F[94,x] = F[95,x]+F[98,x]<br />
  
    F[95,x] = F[96,x]<br />
  
    F[96,x] = F[31,x]*F[97,x]<br />
  
    F[97,x] = F[1,x]+F[95,x]<br />
  
    F[98,x] = F[99,x]<br />
  
    F[99,x] = F[100,x]*F[31,x]<br />
  
    F[100,x] = F[91,x]+F[98,x]<br />
  
    F[101,x] = F[102,x]+F[11,x]<br />
  
    F[102,x] = F[103,x]<br />
  
    F[103,x] = F[104,x]*F[31,x]<br />
  
    F[104,x] = F[105,x]+F[132,x]<br />
  
    F[105,x] = F[106,x]*F[90,x]<br />
  
    F[106,x] = F[107,x]+F[11,x]<br />
  
    F[107,x] = F[108,x]<br />
  
    F[108,x] = F[109,x]*F[31,x]<br />
  
    F[109,x] = F[106,x]+F[110,x]<br />
  
    F[110,x] = F[111,x]+F[112,x]<br />
  
    F[111,x] = F[11,x]*F[97,x]<br />
  
    F[112,x] = F[113,x]+F[81,x]<br />
  
    F[113,x] = F[114,x]<br />
  
    F[114,x] = F[115,x]*F[31,x]<br />
  
    F[115,x] = F[116,x]+F[118,x]<br />
  
    F[116,x] = F[117,x]<br />
  
    F[117,x] = F[106,x]*F[11,x]<br />
  
    F[118,x] = F[119,x]+F[120,x]<br />
  
    F[119,x] = F[81,x]*F[97,x]<br />
  
    F[120,x] = -F[131,x]+F[121,x]<br />
  
    F[121,x] = -F[129,x]+F[122,x]<br />
  
    F[122,x] = -F[125,x]+F[123,x]<br />
  
    F[123,x] = 1/F[31,x]*F[124,x]<br />
  
    F[124,x] = F[81,x]<br />
  
    F[125,x] = F[126,x]+F[127,x]<br />
  
    F[126,x] = F[106,x]+F[95,x]<br />
  
    F[127,x] = F[112,x]+F[128,x]<br />
  
    F[128,x] = F[11,x]*F[95,x]<br />
  
    F[129,x] = F[130,x]<br />
  
    F[130,x] = F[11,x]*F[126,x]<br />
  
    F[131,x] = F[81,x]*F[95,x]<br />
  
    F[132,x] = F[110,x]+F[133,x]<br />
  
    F[133,x] = F[134,x]+F[135,x]<br />
  
    F[134,x] = F[102,x]*F[97,x]<br />
  
    F[135,x] = -F[141,x]+F[136,x]<br />
  
    F[136,x] = -F[127,x]+F[137,x]<br />
  
    F[137,x] = -F[140,x]+F[138,x]<br />
  
    F[138,x] = 1/F[31,x]*F[139,x]<br />
  
    F[139,x] = F[81,x]<br />
  
    F[140,x] = F[126,x]*F[90,x]<br />
  
    F[141,x] = F[102,x]*F[95,x]<br />
  
    F[142,x] = F[143,x]+F[769,x]<br />
  
    F[143,x] = F[144,x]<br />
  
    F[144,x] = F[14,x]*F[145,x]*F[31,x]<br />
  
    F[145,x] = 1/F[2,x]*F[146,x]<br />
  
    F[146,x] = -F[767,x]+F[147,x]<br />
  
    F[147,x] = -F[469,x]+F[148,x]<br />
  
    F[148,x] = 1/F[31,x]*F[149,x]<br />
  
    F[149,x] = F[150,x]<br />
  
    F[150,x] = F[151,x]<br />
  
    F[151,x] = F[152,x]*F[31,x]<br />
  
    F[152,x] = F[153,x]+F[165,x]<br />
  
    F[153,x] = F[154,x]+F[161,x]<br />
  
    F[154,x] = F[150,x]+F[155,x]<br />
  
    F[155,x] = F[156,x]<br />
  
    F[156,x] = F[157,x]*F[31,x]<br />
  
    F[157,x] = F[158,x]+F[159,x]<br />
  
    F[158,x] = F[10,x]+F[26,x]<br />
  
    F[159,x] = F[160,x]+F[27,x]<br />
  
    F[160,x] = F[2,x]*F[69,x]<br />
  
    F[161,x] = F[162,x]+F[163,x]<br />
  
    F[162,x] = F[11,x]*F[155,x]<br />
  
    F[163,x] = F[164,x]<br />
  
    F[164,x] = F[152,x]*F[16,x]*F[31,x]<br />
  
    F[165,x] = F[166,x]+F[173,x]<br />
  
    F[166,x] = F[167,x]+F[170,x]<br />
  
    F[167,x] = F[155,x]+F[168,x]<br />
  
    F[168,x] = F[169,x]<br />
  
    F[169,x] = F[11,x]*F[2,x]*F[31,x]<br />
  
    F[170,x] = F[150,x]+F[171,x]<br />
  
    F[171,x] = F[172,x]<br />
  
    F[172,x] = F[2,x]*F[78,x]<br />
  
    F[173,x] = F[174,x]+F[199,x]<br />
  
    F[174,x] = F[175,x]+F[195,x]<br />
  
    F[175,x] = F[176,x]<br />
  
    F[176,x] = F[177,x]*F[31,x]<br />
  
    F[177,x] = F[178,x]+F[187,x]<br />
  
    F[178,x] = F[159,x]+F[179,x]<br />
  
    F[179,x] = F[12,x]+F[180,x]<br />
  
    F[180,x] = F[181,x]<br />
  
    F[181,x] = F[14,x]*F[182,x]*F[31,x]<br />
  
    F[182,x] = F[12,x]+F[183,x]<br />
  
    F[183,x] = -F[186,x]+F[184,x]<br />
  
    F[184,x] = 1/F[31,x]*F[185,x]<br />
  
    F[185,x] = F[12,x]<br />
  
    F[186,x] = F[10,x]+F[17,x]<br />
  
    F[187,x] = F[188,x]+F[192,x]<br />
  
    F[188,x] = F[189,x]+F[190,x]<br />
  
    F[189,x] = F[12,x]*F[2,x]<br />
  
    F[190,x] = F[191,x]<br />
  
    F[191,x] = F[182,x]*F[24,x]*F[31,x]<br />
  
    F[192,x] = F[193,x]*F[2,x]<br />
  
    F[193,x] = F[194,x]+F[70,x]<br />
  
    F[194,x] = F[11,x]*F[69,x]<br />
  
    F[195,x] = F[196,x]<br />
  
    F[196,x] = F[11,x]*F[197,x]*F[31,x]<br />
  
    F[197,x] = F[155,x]+F[198,x]<br />
  
    F[198,x] = F[155,x]+F[175,x]<br />
  
    F[199,x] = F[200,x]+F[765,x]<br />
  
    F[200,x] = F[201,x]<br />
  
    F[201,x] = F[202,x]*F[31,x]<br />
  
    F[202,x] = F[203,x]+F[595,x]<br />
  
    F[203,x] = F[204,x]+F[473,x]<br />
  
    F[204,x] = F[205,x]+F[464,x]<br />
  
    F[205,x] = F[206,x]<br />
  
    F[206,x] = F[207,x]*F[31,x]<br />
  
    F[207,x] = F[208,x]+F[65,x]<br />
  
    F[208,x] = F[209,x]+F[81,x]<br />
  
    F[209,x] = -F[65,x]+F[210,x]<br />
  
    F[210,x] = 1/F[2,x]*F[211,x]<br />
  
    F[211,x] = -F[435,x]+F[212,x]<br />
  
    F[212,x] = -F[216,x]+F[213,x]<br />
  
    F[213,x] = 1/F[31,x]*F[214,x]<br />
  
    F[214,x] = F[215,x]<br />
  
    F[215,x] = -F[22,x]+F[216,x]<br />
  
    F[216,x] = -F[40,x]+F[217,x]<br />
  
    F[217,x] = 1/F[31,x]*F[218,x]<br />
  
    F[218,x] = F[219,x]<br />
  
    F[219,x] = -F[399,x]+F[220,x]<br />
  
    F[220,x] = -F[428,x]+F[221,x]<br />
  
    F[221,x] = -F[425,x]+F[222,x]<br />
  
    F[222,x] = 1/F[31,x]*F[223,x]<br />
  
    F[223,x] = F[224,x]<br />
  
    F[224,x] = F[225,x]<br />
  
    F[225,x] = F[226,x]*F[31,x]<br />
  
    F[226,x] = F[227,x]+F[229,x]<br />
  
    F[227,x] = F[228,x]+F[26,x]<br />
  
    F[228,x] = F[11,x]*F[15,x]<br />
  
    F[229,x] = -F[359,x]+F[230,x]<br />
  
    F[230,x] = -F[353,x]+F[231,x]<br />
  
    F[231,x] = -F[352,x]+F[232,x]<br />
  
    F[232,x] = 1/F[31,x]*F[233,x]<br />
  
    F[233,x] = F[234,x]<br />
  
    F[234,x] = F[235,x]<br />
  
    F[235,x] = F[236,x]*F[31,x]<br />
  
    F[236,x] = F[237,x]+F[318,x]<br />
  
    F[237,x] = F[238,x]<br />
  
    F[238,x] = F[239,x]+F[312,x]<br />
  
    F[239,x] = F[240,x]<br />
  
    F[240,x] = F[2,x]*F[241,x]<br />
  
    F[241,x] = F[242,x]+F[31,x]<br />
  
    F[242,x] = F[243,x]<br />
  
    F[243,x] = F[244,x]*F[31,x]<br />
  
    F[244,x] = F[245,x]+F[247,x]<br />
  
    F[245,x] = F[241,x]+F[246,x]<br />
  
    F[246,x] = F[15,x]*F[31,x]<br />
  
    F[247,x] = F[248,x]+F[307,x]<br />
  
    F[248,x] = F[249,x]+F[250,x]<br />
  
    F[249,x] = F[11,x]*F[31,x]<br />
  
    F[250,x] = F[251,x]<br />
  
    F[251,x] = F[252,x]*F[31,x]<br />
  
    F[252,x] = F[253,x]+F[306,x]<br />
  
    F[253,x] = F[254,x]+F[256,x]<br />
  
    F[254,x] = F[255,x]<br />
  
    F[255,x] = F[11,x]*F[245,x]<br />
  
    F[256,x] = F[257,x]+F[265,x]<br />
  
    F[257,x] = F[258,x]+F[259,x]<br />
  
    F[258,x] = F[31,x]*F[81,x]<br />
  
    F[259,x] = F[260,x]<br />
  
    F[260,x] = F[261,x]*F[31,x]<br />
  
    F[261,x] = F[262,x]+F[263,x]<br />
  
    F[262,x] = F[11,x]*F[253,x]<br />
  
    F[263,x] = F[264,x]*F[81,x]<br />
  
    F[264,x] = F[244,x]+F[253,x]<br />
  
    F[265,x] = F[250,x]+F[266,x]<br />
  
    F[266,x] = F[267,x]<br />
  
    F[267,x] = F[268,x]*F[31,x]<br />
  
    F[268,x] = F[269,x]+F[278,x]<br />
  
    F[269,x] = -F[81,x]+F[270,x]<br />
  
    F[270,x] = -F[276,x]+F[271,x]<br />
  
    F[271,x] = -F[274,x]+F[272,x]<br />
  
    F[272,x] = 1/F[31,x]*F[273,x]<br />
  
    F[273,x] = F[81,x]<br />
  
    F[274,x] = F[11,x]*F[275,x]<br />
  
    F[275,x] = F[18,x]+F[271,x]<br />
  
    F[276,x] = F[277,x]<br />
  
    F[277,x] = F[11,x]*F[15,x]<br />
  
    F[278,x] = F[269,x]+F[279,x]<br />
  
    F[279,x] = F[280,x]<br />
  
    F[280,x] = F[281,x]*F[31,x]<br />
  
    F[281,x] = F[282,x]+F[299,x]<br />
  
    F[282,x] = F[11,x]*F[283,x]<br />
  
    F[283,x] = F[284,x]+F[286,x]<br />
  
    F[284,x] = F[285,x]<br />
  
    F[285,x] = F[15,x]*F[65,x]<br />
  
    F[286,x] = F[287,x]+F[294,x]<br />
  
    F[287,x] = F[288,x]<br />
  
    F[288,x] = F[289,x]*F[31,x]<br />
  
    F[289,x] = F[283,x]+F[290,x]<br />
  
    F[290,x] = F[282,x]+F[291,x]<br />
  
    F[291,x] = F[292,x]+F[293,x]<br />
  
    F[292,x] = F[11,x]*F[271,x]<br />
  
    F[293,x] = F[275,x]*F[65,x]<br />
  
    F[294,x] = F[295,x]<br />
  
    F[295,x] = F[296,x]*F[31,x]<br />
  
    F[296,x] = F[297,x]+F[298,x]<br />
  
    F[297,x] = F[271,x]*F[65,x]<br />
  
    F[298,x] = F[275,x]*F[287,x]<br />
  
    F[299,x] = F[300,x]+F[305,x]<br />
  
    F[300,x] = F[301,x]+F[302,x]<br />
  
    F[301,x] = F[271,x]*F[81,x]<br />
  
    F[302,x] = F[275,x]*F[303,x]<br />
  
    F[303,x] = -F[81,x]+F[304,x]<br />
  
    F[304,x] = -F[65,x]+F[145,x]<br />
  
    F[305,x] = F[283,x]*F[81,x]<br />
  
    F[306,x] = F[11,x]*F[264,x]<br />
  
    F[307,x] = F[242,x]+F[308,x]<br />
  
    F[308,x] = F[309,x]<br />
  
    F[309,x] = F[31,x]*F[310,x]<br />
  
    F[310,x] = F[311,x]+F[81,x]<br />
  
    F[311,x] = F[287,x]+F[81,x]<br />
  
    F[312,x] = F[313,x]+F[315,x]<br />
  
    F[313,x] = F[314,x]+F[6,x]<br />
  
    F[314,x] = F[155,x]*F[31,x]<br />
  
    F[315,x] = F[316,x]+F[317,x]<br />
  
    F[316,x] = F[11,x]*F[6,x]<br />
  
    F[317,x] = F[155,x]*F[242,x]<br />
  
    F[318,x] = F[319,x]<br />
  
    F[319,x] = F[320,x]+F[322,x]<br />
  
    F[320,x] = F[321,x]<br />
  
    F[321,x] = F[2,x]*F[248,x]<br />
  
    F[322,x] = F[323,x]+F[326,x]<br />
  
    F[323,x] = F[234,x]+F[324,x]<br />
  
    F[324,x] = F[325,x]<br />
  
    F[325,x] = F[11,x]*F[155,x]*F[31,x]<br />
  
    F[326,x] = F[327,x]+F[350,x]<br />
  
    F[327,x] = F[328,x]<br />
  
    F[328,x] = F[329,x]<br />
  
    F[329,x] = F[31,x]*F[330,x]<br />
  
    F[330,x] = F[331,x]+F[332,x]<br />
  
    F[331,x] = F[81,x]*F[9,x]<br />
  
    F[332,x] = F[333,x]+F[336,x]<br />
  
    F[333,x] = F[334,x]+F[335,x]<br />
  
    F[334,x] = F[33,x]*F[81,x]<br />
  
    F[335,x] = F[2,x]*F[311,x]<br />
  
    F[336,x] = F[337,x]+F[349,x]<br />
  
    F[337,x] = F[338,x]*F[81,x]<br />
  
    F[338,x] = F[339,x]+F[346,x]<br />
  
    F[339,x] = F[155,x]+F[340,x]<br />
  
    F[340,x] = F[341,x]<br />
  
    F[341,x] = F[31,x]*F[342,x]*F[89,x]<br />
  
    F[342,x] = F[343,x]<br />
  
    F[343,x] = F[31,x]*F[344,x]<br />
  
    F[344,x] = F[2,x]+F[345,x]<br />
  
    F[345,x] = F[155,x]+F[2,x]<br />
  
    F[346,x] = F[150,x]+F[347,x]<br />
  
    F[347,x] = F[348,x]<br />
  
    F[348,x] = F[31,x]*F[344,x]*F[80,x]<br />
  
    F[349,x] = F[155,x]*F[311,x]<br />
  
    F[350,x] = F[351,x]<br />
  
    F[351,x] = F[155,x]*F[250,x]<br />
  
    F[352,x] = F[11,x]^2*F[4,x]<br />
  
    F[353,x] = F[354,x]+F[357,x]<br />
  
    F[354,x] = F[355,x]+F[356,x]<br />
  
    F[355,x] = F[11,x]*F[154,x]<br />
  
    F[356,x] = F[155,x]*F[69,x]<br />
  
    F[357,x] = F[11,x]*F[358,x]<br />
  
    F[358,x] = F[234,x]+F[328,x]<br />
  
    F[359,x] = F[11,x]*F[360,x]<br />
  
    F[360,x] = F[224,x]+F[361,x]<br />
  
    F[361,x] = F[362,x]<br />
  
    F[362,x] = F[31,x]*F[363,x]<br />
  
    F[363,x] = F[364,x]+F[369,x]<br />
  
    F[364,x] = F[360,x]+F[365,x]<br />
  
    F[365,x] = F[366,x]+F[367,x]<br />
  
    F[366,x] = F[11,x]*F[224,x]<br />
  
    F[367,x] = F[368,x]<br />
  
    F[368,x] = F[16,x]*F[31,x]*F[363,x]<br />
  
    F[369,x] = F[370,x]+F[373,x]<br />
  
    F[370,x] = F[371,x]+F[372,x]<br />
  
    F[371,x] = F[224,x]<br />
  
    F[372,x] = F[361,x]<br />
  
    F[373,x] = F[374,x]+F[409,x]<br />
  
    F[374,x] = F[375,x]<br />
  
    F[375,x] = F[31,x]*F[376,x]<br />
  
    F[376,x] = F[377,x]+F[386,x]<br />
  
    F[377,x] = F[378,x]+F[381,x]<br />
  
    F[378,x] = F[242,x]+F[379,x]<br />
  
    F[379,x] = F[2,x]*F[380,x]<br />
  
    F[380,x] = F[11,x]+F[242,x]<br />
  
    F[381,x] = F[382,x]+F[383,x]<br />
  
    F[382,x] = F[2,x]*F[242,x]<br />
  
    F[383,x] = F[366,x]+F[384,x]<br />
  
    F[384,x] = F[385,x]<br />
  
    F[385,x] = F[11,x]*F[2,x]*F[242,x]<br />
  
    F[386,x] = F[381,x]+F[387,x]<br />
  
    F[387,x] = F[388,x]+F[389,x]<br />
  
    F[388,x] = F[242,x]*F[6,x]<br />
  
    F[389,x] = F[390,x]+F[407,x]<br />
  
    F[390,x] = F[11,x]*F[391,x]<br />
  
    F[391,x] = F[392,x]<br />
  
    F[392,x] = F[31,x]*F[393,x]<br />
  
    F[393,x] = F[394,x]+F[400,x]<br />
  
    F[394,x] = F[189,x]+F[395,x]<br />
  
    F[395,x] = F[396,x]+F[397,x]<br />
  
    F[396,x] = F[12,x]+F[27,x]<br />
  
    F[397,x] = F[338,x]+F[398,x]<br />
  
    F[398,x] = F[37,x]+F[399,x]<br />
  
    F[399,x] = F[2,x]*F[31,x]<br />
  
    F[400,x] = F[401,x]+F[406,x]<br />
  
    F[401,x] = F[2,x]*F[402,x]<br />
  
    F[402,x] = F[403,x]+F[404,x]<br />
  
    F[403,x] = F[12,x]+F[70,x]<br />
  
    F[404,x] = F[405,x]+F[82,x]<br />
  
    F[405,x] = F[249,x]+F[78,x]<br />
  
    F[406,x] = F[12,x]*F[6,x]<br />
  
    F[407,x] = F[408,x]<br />
  
    F[408,x] = F[12,x]*F[2,x]*F[242,x]<br />
  
    F[409,x] = F[410,x]<br />
  
    F[410,x] = F[31,x]*F[411,x]<br />
  
    F[411,x] = F[412,x]+F[418,x]<br />
  
    F[412,x] = F[413,x]+F[417,x]<br />
  
    F[413,x] = F[414,x]+F[415,x]<br />
  
    F[414,x] = F[11,x]*F[81,x]<br />
  
    F[415,x] = F[335,x]+F[416,x]<br />
  
    F[416,x] = F[26,x]*F[81,x]<br />
  
    F[417,x] = F[11,x]*F[2,x]*F[81,x]<br />
  
    F[418,x] = F[419,x]+F[424,x]<br />
  
    F[419,x] = F[2,x]*F[420,x]<br />
  
    F[420,x] = F[414,x]+F[421,x]<br />
  
    F[421,x] = F[422,x]+F[423,x]<br />
  
    F[422,x] = F[69,x]*F[81,x]<br />
  
    F[423,x] = F[11,x]*F[311,x]<br />
  
    F[424,x] = F[11,x]*F[6,x]*F[81,x]<br />
  
    F[425,x] = F[241,x]+F[426,x]<br />
  
    F[426,x] = F[2,x]*F[427,x]<br />
  
    F[427,x] = F[35,x]+F[380,x]<br />
  
    F[428,x] = F[429,x]+F[432,x]<br />
  
    F[429,x] = F[224,x]+F[430,x]<br />
  
    F[430,x] = F[431,x]<br />
  
    F[431,x] = F[11,x]*F[2,x]*F[31,x]<br />
  
    F[432,x] = F[361,x]+F[433,x]<br />
  
    F[433,x] = F[434,x]<br />
  
    F[434,x] = F[2,x]*F[250,x]<br />
  
    F[435,x] = F[436,x]+F[440,x]<br />
  
    F[436,x] = F[216,x]+F[437,x]<br />
  
    F[437,x] = F[438,x]+F[59,x]<br />
  
    F[438,x] = F[439,x]<br />
  
    F[439,x] = F[16,x]*F[213,x]*F[31,x]<br />
  
    F[440,x] = F[441,x]+F[452,x]<br />
  
    F[441,x] = F[442,x]+F[448,x]<br />
  
    F[442,x] = F[11,x]*F[443,x]<br />
  
    F[443,x] = F[2,x]+F[444,x]<br />
  
    F[444,x] = F[445,x]<br />
  
    F[445,x] = F[31,x]*F[446,x]<br />
  
    F[446,x] = F[2,x]+F[447,x]<br />
  
    F[447,x] = F[15,x]*F[2,x]<br />
  
    F[448,x] = F[449,x]+F[450,x]<br />
  
    F[449,x] = F[2,x]*F[65,x]<br />
  
    F[450,x] = F[451,x]<br />
  
    F[451,x] = F[31,x]*F[446,x]*F[80,x]<br />
  
    F[452,x] = F[453,x]+F[459,x]<br />
  
    F[453,x] = F[29,x]+F[454,x]<br />
  
    F[454,x] = F[455,x]<br />
  
    F[455,x] = F[11,x]*F[31,x]*F[456,x]<br />
  
    F[456,x] = F[22,x]+F[457,x]<br />
  
    F[457,x] = F[449,x]+F[458,x]<br />
  
    F[458,x] = F[22,x]+F[27,x]<br />
  
    F[459,x] = F[460,x]+F[462,x]<br />
  
    F[460,x] = F[461,x]<br />
  
    F[461,x] = F[145,x]*F[24,x]*F[31,x]<br />
  
    F[462,x] = F[463,x]<br />
  
    F[463,x] = F[31,x]*F[456,x]*F[80,x]<br />
  
    F[464,x] = F[465,x]+F[472,x]<br />
  
    F[465,x] = F[449,x]+F[466,x]<br />
  
    F[466,x] = F[467,x]<br />
  
    F[467,x] = F[31,x]*F[468,x]<br />
  
    F[468,x] = F[146,x]+F[469,x]<br />
  
    F[469,x] = F[470,x]+F[471,x]<br />
  
    F[470,x] = F[2,x]*F[207,x]<br />
  
    F[471,x] = F[145,x]*F[6,x]<br />
  
    F[472,x] = F[2,x]*F[304,x]<br />
  
    F[473,x] = F[474,x]+F[475,x]<br />
  
    F[474,x] = F[2,x]*F[205,x]<br />
  
    F[475,x] = F[476,x]+F[594,x]<br />
  
    F[476,x] = F[477,x]+F[478,x]<br />
  
    F[477,x] = F[155,x]*F[65,x]<br />
  
    F[478,x] = -F[558,x]+F[479,x]<br />
  
    F[479,x] = F[480,x]<br />
  
    F[480,x] = -F[557,x]+F[481,x]<br />
  
    F[481,x] = -F[548,x]+F[482,x]<br />
  
    F[482,x] = -F[544,x]+F[483,x]<br />
  
    F[483,x] = -F[540,x]+F[484,x]<br />
  
    F[484,x] = 1/F[31,x]*F[485,x]<br />
  
    F[485,x] = F[486,x]<br />
  
    F[486,x] = F[487,x]<br />
  
    F[487,x] = F[31,x]*F[488,x]<br />
  
    F[488,x] = F[489,x]+F[502,x]<br />
  
    F[489,x] = F[490,x]+F[493,x]<br />
  
    F[490,x] = F[383,x]+F[491,x]<br />
  
    F[491,x] = F[492,x]<br />
  
    F[492,x] = F[11,x]^2*F[2,x]*F[31,x]<br />
  
    F[493,x] = F[494,x]+F[500,x]<br />
  
    F[494,x] = F[495,x]+F[496,x]<br />
  
    F[495,x] = F[11,x]*F[429,x]<br />
  
    F[496,x] = F[497,x]+F[498,x]<br />
  
    F[497,x] = F[224,x]*F[81,x]<br />
  
    F[498,x] = F[499,x]<br />
  
    F[499,x] = F[11,x]*F[2,x]*F[250,x]<br />
  
    F[500,x] = F[501,x]<br />
  
    F[501,x] = F[11,x]*F[2,x]*F[307,x]<br />
  
    F[502,x] = F[503,x]+F[520,x]<br />
  
    F[503,x] = F[504,x]+F[506,x]<br />
  
    F[504,x] = F[491,x]+F[505,x]<br />
  
    F[505,x] = F[162,x]+F[384,x]<br />
  
    F[506,x] = F[507,x]+F[516,x]<br />
  
    F[507,x] = F[508,x]+F[510,x]<br />
  
    F[508,x] = F[11,x]*F[509,x]<br />
  
    F[509,x] = F[155,x]+F[430,x]<br />
  
    F[510,x] = F[477,x]+F[511,x]<br />
  
    F[511,x] = F[512,x]<br />
  
    F[512,x] = F[11,x]*F[2,x]*F[513,x]<br />
  
    F[513,x] = F[514,x]<br />
  
    F[514,x] = F[31,x]*F[515,x]<br />
  
    F[515,x] = F[210,x]+F[81,x]<br />
  
    F[516,x] = F[517,x]<br />
  
    F[517,x] = F[11,x]*F[2,x]*F[518,x]<br />
  
    F[518,x] = F[242,x]+F[519,x]<br />
  
    F[519,x] = F[309,x]<br />
  
    F[520,x] = F[521,x]+F[528,x]<br />
  
    F[521,x] = F[522,x]+F[526,x]<br />
  
    F[522,x] = F[523,x]+F[524,x]<br />
  
    F[523,x] = F[11,x]*F[234,x]<br />
  
    F[524,x] = F[525,x]<br />
  
    F[525,x] = F[11,x]*F[242,x]*F[6,x]<br />
  
    F[526,x] = F[527,x]<br />
  
    F[527,x] = F[11,x]^2*F[155,x]*F[31,x]<br />
  
    F[528,x] = F[529,x]+F[538,x]<br />
  
    F[529,x] = F[530,x]+F[534,x]<br />
  
    F[530,x] = F[11,x]*F[531,x]<br />
  
    F[531,x] = F[234,x]+F[532,x]<br />
  
    F[532,x] = F[533,x]<br />
  
    F[533,x] = F[11,x]*F[31,x]*F[6,x]<br />
  
    F[534,x] = F[535,x]+F[536,x]<br />
  
    F[535,x] = F[234,x]*F[81,x]<br />
  
    F[536,x] = F[537,x]<br />
  
    F[537,x] = F[11,x]*F[250,x]*F[6,x]<br />
  
    F[538,x] = F[539,x]<br />
  
    F[539,x] = F[11,x]*F[155,x]*F[307,x]<br />
  
    F[540,x] = F[541,x]+F[542,x]<br />
  
    F[541,x] = F[11,x]*F[429,x]<br />
  
    F[542,x] = F[500,x]+F[543,x]<br />
  
    F[543,x] = F[17,x]*F[224,x]<br />
  
    F[544,x] = F[545,x]+F[546,x]<br />
  
    F[545,x] = F[11,x]*F[323,x]<br />
  
    F[546,x] = F[538,x]+F[547,x]<br />
  
    F[547,x] = F[17,x]*F[234,x]<br />
  
    F[548,x] = F[549,x]<br />
  
    F[549,x] = F[11,x]*F[550,x]<br />
  
    F[550,x] = F[430,x]+F[551,x]<br />
  
    F[551,x] = F[155,x]+F[552,x]<br />
  
    F[552,x] = F[553,x]<br />
  
    F[553,x] = F[31,x]*F[554,x]*F[89,x]<br />
  
    F[554,x] = F[555,x]<br />
  
    F[555,x] = F[31,x]*F[556,x]<br />
  
    F[556,x] = F[2,x]+F[5,x]<br />
  
    F[557,x] = F[356,x]+F[516,x]<br />
  
    F[558,x] = F[559,x]<br />
  
    F[559,x] = -F[384,x]+F[560,x]<br />
  
    F[560,x] = -F[592,x]+F[561,x]<br />
  
    F[561,x] = -F[384,x]+F[562,x]<br />
  
    F[562,x] = 1/F[31,x]*F[563,x]<br />
  
    F[563,x] = F[564,x]<br />
  
    F[564,x] = F[31,x]*F[565,x]<br />
  
    F[565,x] = F[566,x]<br />
  
    F[566,x] = F[567,x]+F[587,x]<br />
  
    F[567,x] = F[568,x]+F[585,x]<br />
  
    F[568,x] = F[569,x]<br />
  
    F[569,x] = F[570,x]<br />
  
    F[570,x] = F[31,x]*F[571,x]<br />
  
    F[571,x] = F[572,x]+F[573,x]<br />
  
    F[572,x] = F[16,x]*F[2,x]*F[31,x]<br />
  
    F[573,x] = F[574,x]+F[584,x]<br />
  
    F[574,x] = F[575,x]+F[578,x]<br />
  
    F[575,x] = F[576,x]<br />
  
    F[576,x] = F[11,x]*F[577,x]<br />
  
    F[577,x] = F[342,x]+F[399,x]<br />
  
    F[578,x] = F[579,x]<br />
  
    F[579,x] = F[580,x]+F[582,x]<br />
  
    F[580,x] = F[11,x]*F[581,x]<br />
  
    F[581,x] = F[577,x]<br />
  
    F[582,x] = F[583,x]<br />
  
    F[583,x] = F[577,x]*F[65,x]<br />
  
    F[584,x] = F[16,x]*F[31,x]*F[6,x]<br />
  
    F[585,x] = F[586,x]<br />
  
    F[586,x] = F[569,x]*F[91,x]<br />
  
    F[587,x] = F[588,x]+F[590,x]<br />
  
    F[588,x] = F[589,x]<br />
  
    F[589,x] = F[11,x]*F[569,x]<br />
  
    F[590,x] = F[591,x]<br />
  
    F[591,x] = F[102,x]*F[569,x]<br />
  
    F[592,x] = F[593,x]<br />
  
    F[593,x] = F[11,x]*F[155,x]*F[242,x]<br />
  
    F[594,x] = F[155,x]*F[304,x]<br />
  
    F[595,x] = F[473,x]+F[596,x]<br />
  
    F[596,x] = F[597,x]+F[598,x]<br />
  
    F[597,x] = F[205,x]*F[6,x]<br />
  
    F[598,x] = F[599,x]+F[764,x]<br />
  
    F[599,x] = F[600,x]+F[610,x]<br />
  
    F[600,x] = F[601,x]*F[65,x]<br />
  
    F[601,x] = F[602,x]<br />
  
    F[602,x] = F[31,x]*F[603,x]<br />
  
    F[603,x] = F[604,x]+F[606,x]<br />
  
    F[604,x] = F[397,x]+F[605,x]<br />
  
    F[605,x] = F[179,x]+F[27,x]<br />
  
    F[606,x] = F[607,x]+F[609,x]<br />
  
    F[607,x] = F[188,x]+F[608,x]<br />
  
    F[608,x] = F[2,x]*F[70,x]<br />
  
    F[609,x] = F[2,x]*F[404,x]<br />
  
    F[610,x] = -F[740,x]+F[611,x]<br />
  
    F[611,x] = F[612,x]<br />
  
    F[612,x] = -F[712,x]+F[613,x]<br />
  
    F[613,x] = -F[705,x]+F[614,x]<br />
  
    F[614,x] = -F[691,x]+F[615,x]<br />
  
    F[615,x] = -F[690,x]+F[616,x]<br />
  
    F[616,x] = 1/F[31,x]*F[617,x]<br />
  
    F[617,x] = F[618,x]<br />
  
    F[618,x] = -F[673,x]+F[619,x]<br />
  
    F[619,x] = -F[689,x]+F[620,x]<br />
  
    F[620,x] = -F[662,x]+F[621,x]<br />
  
    F[621,x] = -F[624,x]+F[622,x]<br />
  
    F[622,x] = 1/F[31,x]*F[623,x]<br />
  
    F[623,x] = F[486,x]<br />
  
    F[624,x] = F[625,x]+F[662,x]<br />
  
    F[625,x] = F[626,x]+F[631,x]<br />
  
    F[626,x] = F[627,x]<br />
  
    F[627,x] = F[31,x]*F[628,x]<br />
  
    F[628,x] = F[242,x]+F[629,x]<br />
  
    F[629,x] = F[630,x]<br />
  
    F[630,x] = F[16,x]*F[31,x]<br />
  
    F[631,x] = F[632,x]+F[656,x]<br />
  
    F[632,x] = F[633,x]<br />
  
    F[633,x] = F[31,x]*F[634,x]<br />
  
    F[634,x] = F[635,x]+F[639,x]<br />
  
    F[635,x] = F[2,x]*F[636,x]<br />
  
    F[636,x] = F[380,x]+F[637,x]<br />
  
    F[637,x] = F[638,x]+F[76,x]<br />
  
    F[638,x] = F[250,x]+F[81,x]<br />
  
    F[639,x] = F[640,x]+F[655,x]<br />
  
    F[640,x] = F[641,x]+F[645,x]<br />
  
    F[641,x] = F[379,x]+F[642,x]<br />
  
    F[642,x] = F[643,x]<br />
  
    F[643,x] = F[644,x]<br />
  
    F[644,x] = F[16,x]*F[31,x]*F[344,x]<br />
  
    F[645,x] = F[646,x]+F[650,x]<br />
  
    F[646,x] = F[647,x]<br />
  
    F[647,x] = F[11,x]*F[648,x]<br />
  
    F[648,x] = F[399,x]+F[649,x]<br />
  
    F[649,x] = F[2,x]+F[342,x]<br />
  
    F[650,x] = F[651,x]+F[653,x]<br />
  
    F[651,x] = F[2,x]*F[652,x]<br />
  
    F[652,x] = F[513,x]+F[65,x]<br />
  
    F[653,x] = F[654,x]<br />
  
    F[654,x] = F[347,x]<br />
  
    F[655,x] = F[6,x]*F[636,x]<br />
  
    F[656,x] = F[657,x]<br />
  
    F[657,x] = F[31,x]*F[658,x]<br />
  
    F[658,x] = F[382,x]+F[659,x]<br />
  
    F[659,x] = F[388,x]+F[660,x]<br />
  
    F[660,x] = F[661,x]<br />
  
    F[661,x] = F[382,x]+F[642,x]<br />
  
    F[662,x] = F[663,x]+F[664,x]<br />
  
    F[663,x] = F[2,x]*F[626,x]<br />
  
    F[664,x] = F[486,x]+F[665,x]<br />
  
    F[665,x] = F[666,x]<br />
  
    F[666,x] = F[31,x]*F[667,x]<br />
  
    F[667,x] = F[668,x]+F[671,x]<br />
  
    F[668,x] = F[669,x]+F[670,x]<br />
  
    F[669,x] = F[656,x]<br />
  
    F[670,x] = F[665,x]<br />
  
    F[671,x] = F[670,x]+F[672,x]<br />
  
    F[672,x] = F[673,x]<br />
  
    F[673,x] = F[674,x]<br />
  
    F[674,x] = F[31,x]*F[675,x]<br />
  
    F[675,x] = F[407,x]+F[676,x]<br />
  
    F[676,x] = F[677,x]+F[687,x]<br />
  
    F[677,x] = F[678,x]<br />
  
    F[678,x] = F[407,x]+F[679,x]<br />
  
    F[679,x] = F[680,x]<br />
  
    F[680,x] = -F[684,x]+F[681,x]<br />
  
    F[681,x] = -F[686,x]+F[682,x]<br />
  
    F[682,x] = 1/F[31,x]*F[683,x]<br />
  
    F[683,x] = F[684,x]<br />
  
    F[684,x] = F[685,x]<br />
  
    F[685,x] = F[31,x]*F[643,x]*F[89,x]<br />
  
    F[686,x] = F[643,x]+F[684,x]<br />
  
    F[687,x] = F[688,x]<br />
  
    F[688,x] = F[12,x]*F[242,x]*F[6,x]<br />
  
    F[689,x] = F[6,x]*F[626,x]<br />
  
    F[690,x] = F[16,x]*F[391,x]<br />
  
    F[691,x] = F[16,x]*F[692,x]<br />
  
    F[692,x] = F[693,x]<br />
  
    F[693,x] = F[31,x]*F[694,x]<br />
  
    F[694,x] = F[695,x]+F[696,x]<br />
  
    F[695,x] = F[12,x]*F[9,x]<br />
  
    F[696,x] = F[697,x]+F[700,x]<br />
  
    F[697,x] = F[609,x]+F[698,x]<br />
  
    F[698,x] = F[608,x]+F[699,x]<br />
  
    F[699,x] = F[12,x]*F[33,x]<br />
  
    F[700,x] = F[701,x]+F[704,x]<br />
  
    F[701,x] = F[702,x]+F[703,x]<br />
  
    F[702,x] = F[12,x]*F[338,x]<br />
  
    F[703,x] = F[155,x]*F[70,x]<br />
  
    F[704,x] = F[155,x]*F[404,x]<br />
  
    F[705,x] = F[706,x]+F[708,x]<br />
  
    F[706,x] = F[680,x]+F[707,x]<br />
  
    F[707,x] = F[11,x]*F[601,x]<br />
  
    F[708,x] = F[709,x]<br />
  
    F[709,x] = F[11,x]*F[710,x]<br />
  
    F[710,x] = F[711,x]<br />
  
    F[711,x] = F[12,x]*F[31,x]*F[556,x]<br />
  
    F[712,x] = F[713,x]+F[717,x]<br />
  
    F[713,x] = F[11,x]*F[714,x]<br />
  
    F[714,x] = F[601,x]+F[715,x]<br />
  
    F[715,x] = F[716,x]<br />
  
    F[716,x] = F[12,x]*F[31,x]*F[344,x]<br />
  
    F[717,x] = F[600,x]+F[718,x]<br />
  
    F[718,x] = -F[724,x]+F[719,x]<br />
  
    F[719,x] = -F[723,x]+F[720,x]<br />
  
    F[720,x] = 1/F[31,x]*F[721,x]<br />
  
    F[721,x] = F[722,x]<br />
  
    F[722,x] = F[31,x]*F[654,x]*F[89,x]<br />
  
    F[723,x] = F[654,x]+F[724,x]<br />
  
    F[724,x] = -F[477,x]+F[725,x]<br />
  
    F[725,x] = -F[739,x]+F[726,x]<br />
  
    F[726,x] = -F[738,x]+F[727,x]<br />
  
    F[727,x] = -F[734,x]+F[728,x]<br />
  
    F[728,x] = -F[733,x]+F[729,x]<br />
  
    F[729,x] = -F[732,x]+F[730,x]<br />
  
    F[730,x] = 1/F[31,x]*F[731,x]<br />
  
    F[731,x] = F[486,x]<br />
  
    F[732,x] = F[16,x]*F[224,x]<br />
  
    F[733,x] = F[16,x]*F[234,x]<br />
  
    F[734,x] = F[735,x]+F[736,x]<br />
  
    F[735,x] = F[162,x]+F[684,x]<br />
  
    F[736,x] = F[737,x]<br />
  
    F[737,x] = F[11,x]*F[552,x]<br />
  
    F[738,x] = F[479,x]<br />
  
    F[739,x] = F[11,x]*F[339,x]<br />
  
    F[740,x] = -F[707,x]+F[741,x]<br />
  
    F[741,x] = -F[763,x]+F[742,x]<br />
  
    F[742,x] = -F[388,x]+F[743,x]<br />
  
    F[743,x] = -F[759,x]+F[744,x]<br />
  
    F[744,x] = -F[747,x]+F[745,x]<br />
  
    F[745,x] = 1/F[31,x]*F[746,x]<br />
  
    F[746,x] = F[175,x]<br />
  
    F[747,x] = F[748,x]+F[759,x]<br />
  
    F[748,x] = F[242,x]+F[749,x]<br />
  
    F[749,x] = F[49,x]+F[750,x]<br />
  
    F[750,x] = F[28,x]+F[751,x]<br />
  
    F[751,x] = F[752,x]<br />
  
    F[752,x] = F[31,x]*F[753,x]<br />
  
    F[753,x] = F[754,x]+F[755,x]<br />
  
    F[754,x] = F[16,x]*F[2,x]<br />
  
    F[755,x] = F[756,x]+F[758,x]<br />
  
    F[756,x] = F[2,x]*F[757,x]<br />
  
    F[757,x] = F[11,x]+F[69,x]<br />
  
    F[758,x] = F[16,x]*F[6,x]<br />
  
    F[759,x] = F[382,x]+F[760,x]<br />
  
    F[760,x] = F[761,x]+F[762,x]<br />
  
    F[761,x] = F[162,x]+F[558,x]<br />
  
    F[762,x] = F[155,x]*F[17,x]<br />
  
    F[763,x] = F[17,x]*F[601,x]<br />
  
    F[764,x] = F[304,x]*F[601,x]<br />
  
    F[765,x] = F[766,x]<br />
  
    F[766,x] = F[197,x]*F[31,x]*F[80,x]<br />
  
    F[767,x] = F[65,x]+F[768,x]<br />
  
    F[768,x] = F[215,x]+F[40,x]<br />
  
    F[769,x] = F[770,x]<br />
  
    F[770,x] = F[31,x]*F[80,x]*F[88,x]<br />
  
    F[771,x] = F[772,x]+F[773,x]<br />
  
    F[772,x] = F[43,x]+F[50,x]<br />
  
    F[773,x] = F[774,x]+F[783,x]<br />
  
    F[774,x] = F[155,x]+F[775,x]<br />
  
    F[775,x] = F[776,x]<br />
  
    F[776,x] = F[31,x]*F[777,x]<br />
  
    F[777,x] = F[49,x]+F[778,x]<br />
  
    F[778,x] = F[762,x]+F[779,x]<br />
  
    F[779,x] = F[774,x]+F[780,x]<br />
  
    F[780,x] = F[162,x]+F[781,x]<br />
  
    F[781,x] = F[782,x]<br />
  
    F[782,x] = F[16,x]*F[31,x]*F[777,x]<br />
  
    F[783,x] = F[150,x]+F[784,x]<br />
  
    F[784,x] = F[785,x]<br />
  
    F[785,x] = F[31,x]*F[786,x]<br />
  
    F[786,x] = F[787,x]+F[788,x]<br />
  
    F[787,x] = F[2,x]*F[283,x]<br />
  
    F[788,x] = F[789,x]+F[792,x]<br />
  
    F[789,x] = F[790,x]+F[791,x]<br />
  
    F[790,x] = F[155,x]*F[271,x]<br />
  
    F[791,x] = F[150,x]*F[275,x]<br />
  
    F[792,x] = F[155,x]*F[283,x]<br />
  
  System of equations in latex syntax:<br />
  
    F_{0}\! \left(x \right) = F_{1}\! \left(x \right)+F_{2}\! \left(x \right)<br />
  
    F_{1}\! \left(x \right) = 1<br />
  
    F_{2}\! \left(x \right) = F_{3}\! \left(x \right)<br />
  
    F_{3}\! \left(x \right) = F_{31}\! \left(x \right) F_{4}\! \left(x \right)<br />
  
    F_{4}\! \left(x \right) = F_{0}\! \left(x \right)+F_{5}\! \left(x \right)<br />
  
    F_{5}\! \left(x \right) = F_{2}\! \left(x \right)+F_{6}\! \left(x \right)<br />
  
    F_{6}\! \left(x \right) = F_{7}\! \left(x \right)<br />
  
    F_{7}\! \left(x \right) = F_{31}\! \left(x \right) F_{8}\! \left(x \right)<br />
  
    F_{8}\! \left(x \right) = F_{32}\! \left(x \right)+F_{9}\! \left(x \right)<br />
  
    F_{9}\! \left(x \right) = F_{10}\! \left(x \right)+F_{27}\! \left(x \right)<br />
  
    F_{10}\! \left(x \right) = F_{11}\! \left(x \right)+F_{12}\! \left(x \right)<br />
  
    F_{11}\! \left(x \right) = F_{11}\! \left(x \right) x +F_{11} \left(x \right)^{2}+x<br />
  
    F_{12}\! \left(x \right) = F_{13}\! \left(x \right)<br />
  
    F_{13}\! \left(x \right) = F_{14}\! \left(x \right) F_{16}\! \left(x \right) F_{31}\! \left(x \right)<br />
  
    F_{14}\! \left(x \right) = F_{10}\! \left(x \right)+F_{15}\! \left(x \right)<br />
  
    F_{15}\! \left(x \right) = F_{15}\! \left(x \right) x +F_{15} \left(x \right)^{2}-2 F_{15}\! \left(x \right)+2<br />
  
    F_{16}\! \left(x \right) = F_{11}\! \left(x \right)+F_{17}\! \left(x \right)<br />
  
    F_{17}\! \left(x \right) = -F_{15}\! \left(x \right)+F_{18}\! \left(x \right)<br />
  
    F_{18}\! \left(x \right) = \frac{F_{19}\! \left(x \right)}{F_{2}\! \left(x \right)}<br />
  
    F_{19}\! \left(x \right) = -F_{771}\! \left(x \right)+F_{20}\! \left(x \right)<br />
  
    F_{20}\! \left(x \right) = \frac{F_{21}\! \left(x \right)}{F_{31}\! \left(x \right)}<br />
  
    F_{21}\! \left(x \right) = F_{22}\! \left(x \right)<br />
  
    F_{22}\! \left(x \right) = F_{23}\! \left(x \right)<br />
  
    F_{23}\! \left(x \right) = F_{24}\! \left(x \right) F_{31}\! \left(x \right)<br />
  
    F_{24}\! \left(x \right) = F_{25}\! \left(x \right)+F_{32}\! \left(x \right)<br />
  
    F_{25}\! \left(x \right) = F_{26}\! \left(x \right)+F_{27}\! \left(x \right)<br />
  
    F_{26}\! \left(x \right) = F_{2}\! \left(x \right)+F_{22}\! \left(x \right)<br />
  
    F_{27}\! \left(x \right) = F_{28}\! \left(x \right)+F_{29}\! \left(x \right)<br />
  
    F_{28}\! \left(x \right) = F_{11}\! \left(x \right) F_{2}\! \left(x \right)<br />
  
    F_{29}\! \left(x \right) = F_{30}\! \left(x \right)<br />
  
    F_{30}\! \left(x \right) = F_{16}\! \left(x \right) F_{24}\! \left(x \right) F_{31}\! \left(x \right)<br />
  
    F_{31}\! \left(x \right) = x<br />
  
    F_{32}\! \left(x \right) = F_{33}\! \left(x \right)+F_{338}\! \left(x \right)<br />
  
    F_{33}\! \left(x \right) = F_{34}\! \left(x \right)+F_{36}\! \left(x \right)<br />
  
    F_{34}\! \left(x \right) = F_{2}\! \left(x \right) F_{35}\! \left(x \right)<br />
  
    F_{35}\! \left(x \right) = F_{1}\! \left(x \right)+F_{31}\! \left(x \right)<br />
  
    F_{36}\! \left(x \right) = F_{22}\! \left(x \right)+F_{37}\! \left(x \right)<br />
  
    F_{37}\! \left(x \right) = F_{38}\! \left(x \right)<br />
  
    F_{38}\! \left(x \right) = F_{31}\! \left(x \right) F_{39}\! \left(x \right)<br />
  
    F_{39}\! \left(x \right) = F_{40}\! \left(x \right)+F_{50}\! \left(x \right)<br />
  
    F_{40}\! \left(x \right) = F_{41}\! \left(x \right)<br />
  
    F_{41}\! \left(x \right) = F_{31}\! \left(x \right) F_{42}\! \left(x \right)<br />
  
    F_{42}\! \left(x \right) = F_{43}\! \left(x \right)+F_{44}\! \left(x \right)<br />
  
    F_{43}\! \left(x \right) = F_{2}\! \left(x \right)+F_{40}\! \left(x \right)<br />
  
    F_{44}\! \left(x \right) = F_{45}\! \left(x \right)+F_{49}\! \left(x \right)<br />
  
    F_{45}\! \left(x \right) = F_{43}\! \left(x \right)+F_{46}\! \left(x \right)<br />
  
    F_{46}\! \left(x \right) = F_{28}\! \left(x \right)+F_{47}\! \left(x \right)<br />
  
    F_{47}\! \left(x \right) = F_{48}\! \left(x \right)<br />
  
    F_{48}\! \left(x \right) = F_{16}\! \left(x \right) F_{31}\! \left(x \right) F_{42}\! \left(x \right)<br />
  
    F_{49}\! \left(x \right) = F_{17}\! \left(x \right) F_{2}\! \left(x \right)<br />
  
    F_{50}\! \left(x \right) = F_{22}\! \left(x \right)+F_{51}\! \left(x \right)<br />
  
    F_{51}\! \left(x \right) = F_{52}\! \left(x \right)<br />
  
    F_{52}\! \left(x \right) = F_{31}\! \left(x \right) F_{53}\! \left(x \right)<br />
  
    F_{53}\! \left(x \right) = F_{50}\! \left(x \right)+F_{54}\! \left(x \right)<br />
  
    F_{54}\! \left(x \right) = F_{55}\! \left(x \right)+F_{63}\! \left(x \right)<br />
  
    F_{55}\! \left(x \right) = F_{49}\! \left(x \right)+F_{56}\! \left(x \right)<br />
  
    F_{56}\! \left(x \right) = F_{57}\! \left(x \right)+F_{62}\! \left(x \right)<br />
  
    F_{57}\! \left(x \right) = F_{50}\! \left(x \right)+F_{58}\! \left(x \right)<br />
  
    F_{58}\! \left(x \right) = F_{59}\! \left(x \right)+F_{60}\! \left(x \right)<br />
  
    F_{59}\! \left(x \right) = F_{11}\! \left(x \right) F_{22}\! \left(x \right)<br />
  
    F_{60}\! \left(x \right) = F_{61}\! \left(x \right)<br />
  
    F_{61}\! \left(x \right) = F_{16}\! \left(x \right) F_{31}\! \left(x \right) F_{53}\! \left(x \right)<br />
  
    F_{62}\! \left(x \right) = F_{17}\! \left(x \right) F_{22}\! \left(x \right)<br />
  
    F_{63}\! \left(x \right) = F_{2}\! \left(x \right) F_{64}\! \left(x \right)<br />
  
    F_{64}\! \left(x \right) = F_{287}\! \left(x \right)+F_{65}\! \left(x \right)<br />
  
    F_{65}\! \left(x \right) = F_{66}\! \left(x \right)<br />
  
    F_{66}\! \left(x \right) = F_{31}\! \left(x \right) F_{67}\! \left(x \right)<br />
  
    F_{67}\! \left(x \right) = F_{68}\! \left(x \right)+F_{74}\! \left(x \right)<br />
  
    F_{68}\! \left(x \right) = F_{69}\! \left(x \right)+F_{70}\! \left(x \right)<br />
  
    F_{69}\! \left(x \right) = F_{11}\! \left(x \right)+F_{65}\! \left(x \right)<br />
  
    F_{70}\! \left(x \right) = F_{71}\! \left(x \right)+F_{72}\! \left(x \right)<br />
  
    F_{71}\! \left(x \right) = F_{11} \left(x \right)^{2}<br />
  
    F_{72}\! \left(x \right) = F_{73}\! \left(x \right)<br />
  
    F_{73}\! \left(x \right) = F_{16}\! \left(x \right) F_{31}\! \left(x \right) F_{67}\! \left(x \right)<br />
  
    F_{74}\! \left(x \right) = F_{75}\! \left(x \right)+F_{82}\! \left(x \right)<br />
  
    F_{75}\! \left(x \right) = F_{76}\! \left(x \right)+F_{77}\! \left(x \right)<br />
  
    F_{76}\! \left(x \right) = F_{11}\! \left(x \right) F_{35}\! \left(x \right)<br />
  
    F_{77}\! \left(x \right) = F_{65}\! \left(x \right)+F_{78}\! \left(x \right)<br />
  
    F_{78}\! \left(x \right) = F_{79}\! \left(x \right)<br />
  
    F_{79}\! \left(x \right) = F_{31}\! \left(x \right) F_{80}\! \left(x \right)<br />
  
    F_{80}\! \left(x \right) = F_{64}\! \left(x \right)+F_{81}\! \left(x \right)<br />
  
    F_{81}\! \left(x \right) = -F_{11}\! \left(x \right)+F_{17}\! \left(x \right)<br />
  
    F_{82}\! \left(x \right) = F_{142}\! \left(x \right)+F_{83}\! \left(x \right)<br />
  
    F_{83}\! \left(x \right) = F_{12}\! \left(x \right)+F_{84}\! \left(x \right)<br />
  
    F_{84}\! \left(x \right) = F_{85}\! \left(x \right)<br />
  
    F_{85}\! \left(x \right) = F_{31}\! \left(x \right) F_{86}\! \left(x \right) F_{89}\! \left(x \right)<br />
  
    F_{86}\! \left(x \right) = F_{87}\! \left(x \right)<br />
  
    F_{87}\! \left(x \right) = F_{31}\! \left(x \right) F_{88}\! \left(x \right)<br />
  
    F_{88}\! \left(x \right) = F_{10}\! \left(x \right)+F_{11}\! \left(x \right)<br />
  
    F_{89}\! \left(x \right) = F_{101}\! \left(x \right)+F_{90}\! \left(x \right)<br />
  
    F_{90}\! \left(x \right) = F_{1}\! \left(x \right)+F_{91}\! \left(x \right)<br />
  
    F_{91}\! \left(x \right) = F_{92}\! \left(x \right)<br />
  
    F_{92}\! \left(x \right) = F_{31}\! \left(x \right) F_{93}\! \left(x \right)<br />
  
    F_{93}\! \left(x \right) = F_{90}\! \left(x \right)+F_{94}\! \left(x \right)<br />
  
    F_{94}\! \left(x \right) = F_{95}\! \left(x \right)+F_{98}\! \left(x \right)<br />
  
    F_{95}\! \left(x \right) = F_{96}\! \left(x \right)<br />
  
    F_{96}\! \left(x \right) = F_{31}\! \left(x \right) F_{97}\! \left(x \right)<br />
  
    F_{97}\! \left(x \right) = F_{1}\! \left(x \right)+F_{95}\! \left(x \right)<br />
  
    F_{98}\! \left(x \right) = F_{99}\! \left(x \right)<br />
  
    F_{99}\! \left(x \right) = F_{100}\! \left(x \right) F_{31}\! \left(x \right)<br />
  
    F_{100}\! \left(x \right) = F_{91}\! \left(x \right)+F_{98}\! \left(x \right)<br />
  
    F_{101}\! \left(x \right) = F_{102}\! \left(x \right)+F_{11}\! \left(x \right)<br />
  
    F_{102}\! \left(x \right) = F_{103}\! \left(x \right)<br />
  
    F_{103}\! \left(x \right) = F_{104}\! \left(x \right) F_{31}\! \left(x \right)<br />
  
    F_{104}\! \left(x \right) = F_{105}\! \left(x \right)+F_{132}\! \left(x \right)<br />
  
    F_{105}\! \left(x \right) = F_{106}\! \left(x \right) F_{90}\! \left(x \right)<br />
  
    F_{106}\! \left(x \right) = F_{107}\! \left(x \right)+F_{11}\! \left(x \right)<br />
  
    F_{107}\! \left(x \right) = F_{108}\! \left(x \right)<br />
  
    F_{108}\! \left(x \right) = F_{109}\! \left(x \right) F_{31}\! \left(x \right)<br />
  
    F_{109}\! \left(x \right) = F_{106}\! \left(x \right)+F_{110}\! \left(x \right)<br />
  
    F_{110}\! \left(x \right) = F_{111}\! \left(x \right)+F_{112}\! \left(x \right)<br />
  
    F_{111}\! \left(x \right) = F_{11}\! \left(x \right) F_{97}\! \left(x \right)<br />
  
    F_{112}\! \left(x \right) = F_{113}\! \left(x \right)+F_{81}\! \left(x \right)<br />
  
    F_{113}\! \left(x \right) = F_{114}\! \left(x \right)<br />
  
    F_{114}\! \left(x \right) = F_{115}\! \left(x \right) F_{31}\! \left(x \right)<br />
  
    F_{115}\! \left(x \right) = F_{116}\! \left(x \right)+F_{118}\! \left(x \right)<br />
  
    F_{116}\! \left(x \right) = F_{117}\! \left(x \right)<br />
  
    F_{117}\! \left(x \right) = F_{106}\! \left(x \right) F_{11}\! \left(x \right)<br />
  
    F_{118}\! \left(x \right) = F_{119}\! \left(x \right)+F_{120}\! \left(x \right)<br />
  
    F_{119}\! \left(x \right) = F_{81}\! \left(x \right) F_{97}\! \left(x \right)<br />
  
    F_{120}\! \left(x \right) = -F_{131}\! \left(x \right)+F_{121}\! \left(x \right)<br />
  
    F_{121}\! \left(x \right) = -F_{129}\! \left(x \right)+F_{122}\! \left(x \right)<br />
  
    F_{122}\! \left(x \right) = -F_{125}\! \left(x \right)+F_{123}\! \left(x \right)<br />
  
    F_{123}\! \left(x \right) = \frac{F_{124}\! \left(x \right)}{F_{31}\! \left(x \right)}<br />
  
    F_{124}\! \left(x \right) = F_{81}\! \left(x \right)<br />
  
    F_{125}\! \left(x \right) = F_{126}\! \left(x \right)+F_{127}\! \left(x \right)<br />
  
    F_{126}\! \left(x \right) = F_{106}\! \left(x \right)+F_{95}\! \left(x \right)<br />
  
    F_{127}\! \left(x \right) = F_{112}\! \left(x \right)+F_{128}\! \left(x \right)<br />
  
    F_{128}\! \left(x \right) = F_{11}\! \left(x \right) F_{95}\! \left(x \right)<br />
  
    F_{129}\! \left(x \right) = F_{130}\! \left(x \right)<br />
  
    F_{130}\! \left(x \right) = F_{11}\! \left(x \right) F_{126}\! \left(x \right)<br />
  
    F_{131}\! \left(x \right) = F_{81}\! \left(x \right) F_{95}\! \left(x \right)<br />
  
    F_{132}\! \left(x \right) = F_{110}\! \left(x \right)+F_{133}\! \left(x \right)<br />
  
    F_{133}\! \left(x \right) = F_{134}\! \left(x \right)+F_{135}\! \left(x \right)<br />
  
    F_{134}\! \left(x \right) = F_{102}\! \left(x \right) F_{97}\! \left(x \right)<br />
  
    F_{135}\! \left(x \right) = -F_{141}\! \left(x \right)+F_{136}\! \left(x \right)<br />
  
    F_{136}\! \left(x \right) = -F_{127}\! \left(x \right)+F_{137}\! \left(x \right)<br />
  
    F_{137}\! \left(x \right) = -F_{140}\! \left(x \right)+F_{138}\! \left(x \right)<br />
  
    F_{138}\! \left(x \right) = \frac{F_{139}\! \left(x \right)}{F_{31}\! \left(x \right)}<br />
  
    F_{139}\! \left(x \right) = F_{81}\! \left(x \right)<br />
  
    F_{140}\! \left(x \right) = F_{126}\! \left(x \right) F_{90}\! \left(x \right)<br />
  
    F_{141}\! \left(x \right) = F_{102}\! \left(x \right) F_{95}\! \left(x \right)<br />
  
    F_{142}\! \left(x \right) = F_{143}\! \left(x \right)+F_{769}\! \left(x \right)<br />
  
    F_{143}\! \left(x \right) = F_{144}\! \left(x \right)<br />
  
    F_{144}\! \left(x \right) = F_{14}\! \left(x \right) F_{145}\! \left(x \right) F_{31}\! \left(x \right)<br />
  
    F_{145}\! \left(x \right) = \frac{F_{146}\! \left(x \right)}{F_{2}\! \left(x \right)}<br />
  
    F_{146}\! \left(x \right) = -F_{767}\! \left(x \right)+F_{147}\! \left(x \right)<br />
  
    F_{147}\! \left(x \right) = -F_{469}\! \left(x \right)+F_{148}\! \left(x \right)<br />
  
    F_{148}\! \left(x \right) = \frac{F_{149}\! \left(x \right)}{F_{31}\! \left(x \right)}<br />
  
    F_{149}\! \left(x \right) = F_{150}\! \left(x \right)<br />
  
    F_{150}\! \left(x \right) = F_{151}\! \left(x \right)<br />
  
    F_{151}\! \left(x \right) = F_{152}\! \left(x \right) F_{31}\! \left(x \right)<br />
  
    F_{152}\! \left(x \right) = F_{153}\! \left(x \right)+F_{165}\! \left(x \right)<br />
  
    F_{153}\! \left(x \right) = F_{154}\! \left(x \right)+F_{161}\! \left(x \right)<br />
  
    F_{154}\! \left(x \right) = F_{150}\! \left(x \right)+F_{155}\! \left(x \right)<br />
  
    F_{155}\! \left(x \right) = F_{156}\! \left(x \right)<br />
  
    F_{156}\! \left(x \right) = F_{157}\! \left(x \right) F_{31}\! \left(x \right)<br />
  
    F_{157}\! \left(x \right) = F_{158}\! \left(x \right)+F_{159}\! \left(x \right)<br />
  
    F_{158}\! \left(x \right) = F_{10}\! \left(x \right)+F_{26}\! \left(x \right)<br />
  
    F_{159}\! \left(x \right) = F_{160}\! \left(x \right)+F_{27}\! \left(x \right)<br />
  
    F_{160}\! \left(x \right) = F_{2}\! \left(x \right) F_{69}\! \left(x \right)<br />
  
    F_{161}\! \left(x \right) = F_{162}\! \left(x \right)+F_{163}\! \left(x \right)<br />
  
    F_{162}\! \left(x \right) = F_{11}\! \left(x \right) F_{155}\! \left(x \right)<br />
  
    F_{163}\! \left(x \right) = F_{164}\! \left(x \right)<br />
  
    F_{164}\! \left(x \right) = F_{152}\! \left(x \right) F_{16}\! \left(x \right) F_{31}\! \left(x \right)<br />
  
    F_{165}\! \left(x \right) = F_{166}\! \left(x \right)+F_{173}\! \left(x \right)<br />
  
    F_{166}\! \left(x \right) = F_{167}\! \left(x \right)+F_{170}\! \left(x \right)<br />
  
    F_{167}\! \left(x \right) = F_{155}\! \left(x \right)+F_{168}\! \left(x \right)<br />
  
    F_{168}\! \left(x \right) = F_{169}\! \left(x \right)<br />
  
    F_{169}\! \left(x \right) = F_{11}\! \left(x \right) F_{2}\! \left(x \right) F_{31}\! \left(x \right)<br />
  
    F_{170}\! \left(x \right) = F_{150}\! \left(x \right)+F_{171}\! \left(x \right)<br />
  
    F_{171}\! \left(x \right) = F_{172}\! \left(x \right)<br />
  
    F_{172}\! \left(x \right) = F_{2}\! \left(x \right) F_{78}\! \left(x \right)<br />
  
    F_{173}\! \left(x \right) = F_{174}\! \left(x \right)+F_{199}\! \left(x \right)<br />
  
    F_{174}\! \left(x \right) = F_{175}\! \left(x \right)+F_{195}\! \left(x \right)<br />
  
    F_{175}\! \left(x \right) = F_{176}\! \left(x \right)<br />
  
    F_{176}\! \left(x \right) = F_{177}\! \left(x \right) F_{31}\! \left(x \right)<br />
  
    F_{177}\! \left(x \right) = F_{178}\! \left(x \right)+F_{187}\! \left(x \right)<br />
  
    F_{178}\! \left(x \right) = F_{159}\! \left(x \right)+F_{179}\! \left(x \right)<br />
  
    F_{179}\! \left(x \right) = F_{12}\! \left(x \right)+F_{180}\! \left(x \right)<br />
  
    F_{180}\! \left(x \right) = F_{181}\! \left(x \right)<br />
  
    F_{181}\! \left(x \right) = F_{14}\! \left(x \right) F_{182}\! \left(x \right) F_{31}\! \left(x \right)<br />
  
    F_{182}\! \left(x \right) = F_{12}\! \left(x \right)+F_{183}\! \left(x \right)<br />
  
    F_{183}\! \left(x \right) = -F_{186}\! \left(x \right)+F_{184}\! \left(x \right)<br />
  
    F_{184}\! \left(x \right) = \frac{F_{185}\! \left(x \right)}{F_{31}\! \left(x \right)}<br />
  
    F_{185}\! \left(x \right) = F_{12}\! \left(x \right)<br />
  
    F_{186}\! \left(x \right) = F_{10}\! \left(x \right)+F_{17}\! \left(x \right)<br />
  
    F_{187}\! \left(x \right) = F_{188}\! \left(x \right)+F_{192}\! \left(x \right)<br />
  
    F_{188}\! \left(x \right) = F_{189}\! \left(x \right)+F_{190}\! \left(x \right)<br />
  
    F_{189}\! \left(x \right) = F_{12}\! \left(x \right) F_{2}\! \left(x \right)<br />
  
    F_{190}\! \left(x \right) = F_{191}\! \left(x \right)<br />
  
    F_{191}\! \left(x \right) = F_{182}\! \left(x \right) F_{24}\! \left(x \right) F_{31}\! \left(x \right)<br />
  
    F_{192}\! \left(x \right) = F_{193}\! \left(x \right) F_{2}\! \left(x \right)<br />
  
    F_{193}\! \left(x \right) = F_{194}\! \left(x \right)+F_{70}\! \left(x \right)<br />
  
    F_{194}\! \left(x \right) = F_{11}\! \left(x \right) F_{69}\! \left(x \right)<br />
  
    F_{195}\! \left(x \right) = F_{196}\! \left(x \right)<br />
  
    F_{196}\! \left(x \right) = F_{11}\! \left(x \right) F_{197}\! \left(x \right) F_{31}\! \left(x \right)<br />
  
    F_{197}\! \left(x \right) = F_{155}\! \left(x \right)+F_{198}\! \left(x \right)<br />
  
    F_{198}\! \left(x \right) = F_{155}\! \left(x \right)+F_{175}\! \left(x \right)<br />
  
    F_{199}\! \left(x \right) = F_{200}\! \left(x \right)+F_{765}\! \left(x \right)<br />
  
    F_{200}\! \left(x \right) = F_{201}\! \left(x \right)<br />
  
    F_{201}\! \left(x \right) = F_{202}\! \left(x \right) F_{31}\! \left(x \right)<br />
  
    F_{202}\! \left(x \right) = F_{203}\! \left(x \right)+F_{595}\! \left(x \right)<br />
  
    F_{203}\! \left(x \right) = F_{204}\! \left(x \right)+F_{473}\! \left(x \right)<br />
  
    F_{204}\! \left(x \right) = F_{205}\! \left(x \right)+F_{464}\! \left(x \right)<br />
  
    F_{205}\! \left(x \right) = F_{206}\! \left(x \right)<br />
  
    F_{206}\! \left(x \right) = F_{207}\! \left(x \right) F_{31}\! \left(x \right)<br />
  
    F_{207}\! \left(x \right) = F_{208}\! \left(x \right)+F_{65}\! \left(x \right)<br />
  
    F_{208}\! \left(x \right) = F_{209}\! \left(x \right)+F_{81}\! \left(x \right)<br />
  
    F_{209}\! \left(x \right) = -F_{65}\! \left(x \right)+F_{210}\! \left(x \right)<br />
  
    F_{210}\! \left(x \right) = \frac{F_{211}\! \left(x \right)}{F_{2}\! \left(x \right)}<br />
  
    F_{211}\! \left(x \right) = -F_{435}\! \left(x \right)+F_{212}\! \left(x \right)<br />
  
    F_{212}\! \left(x \right) = -F_{216}\! \left(x \right)+F_{213}\! \left(x \right)<br />
  
    F_{213}\! \left(x \right) = \frac{F_{214}\! \left(x \right)}{F_{31}\! \left(x \right)}<br />
  
    F_{214}\! \left(x \right) = F_{215}\! \left(x \right)<br />
  
    F_{215}\! \left(x \right) = -F_{22}\! \left(x \right)+F_{216}\! \left(x \right)<br />
  
    F_{216}\! \left(x \right) = -F_{40}\! \left(x \right)+F_{217}\! \left(x \right)<br />
  
    F_{217}\! \left(x \right) = \frac{F_{218}\! \left(x \right)}{F_{31}\! \left(x \right)}<br />
  
    F_{218}\! \left(x \right) = F_{219}\! \left(x \right)<br />
  
    F_{219}\! \left(x \right) = -F_{399}\! \left(x \right)+F_{220}\! \left(x \right)<br />
  
    F_{220}\! \left(x \right) = -F_{428}\! \left(x \right)+F_{221}\! \left(x \right)<br />
  
    F_{221}\! \left(x \right) = -F_{425}\! \left(x \right)+F_{222}\! \left(x \right)<br />
  
    F_{222}\! \left(x \right) = \frac{F_{223}\! \left(x \right)}{F_{31}\! \left(x \right)}<br />
  
    F_{223}\! \left(x \right) = F_{224}\! \left(x \right)<br />
  
    F_{224}\! \left(x \right) = F_{225}\! \left(x \right)<br />
  
    F_{225}\! \left(x \right) = F_{226}\! \left(x \right) F_{31}\! \left(x \right)<br />
  
    F_{226}\! \left(x \right) = F_{227}\! \left(x \right)+F_{229}\! \left(x \right)<br />
  
    F_{227}\! \left(x \right) = F_{228}\! \left(x \right)+F_{26}\! \left(x \right)<br />
  
    F_{228}\! \left(x \right) = F_{11}\! \left(x \right) F_{15}\! \left(x \right)<br />
  
    F_{229}\! \left(x \right) = -F_{359}\! \left(x \right)+F_{230}\! \left(x \right)<br />
  
    F_{230}\! \left(x \right) = -F_{353}\! \left(x \right)+F_{231}\! \left(x \right)<br />
  
    F_{231}\! \left(x \right) = -F_{352}\! \left(x \right)+F_{232}\! \left(x \right)<br />
  
    F_{232}\! \left(x \right) = \frac{F_{233}\! \left(x \right)}{F_{31}\! \left(x \right)}<br />
  
    F_{233}\! \left(x \right) = F_{234}\! \left(x \right)<br />
  
    F_{234}\! \left(x \right) = F_{235}\! \left(x \right)<br />
  
    F_{235}\! \left(x \right) = F_{236}\! \left(x \right) F_{31}\! \left(x \right)<br />
  
    F_{236}\! \left(x \right) = F_{237}\! \left(x \right)+F_{318}\! \left(x \right)<br />
  
    F_{237}\! \left(x \right) = F_{238}\! \left(x \right)<br />
  
    F_{238}\! \left(x \right) = F_{239}\! \left(x \right)+F_{312}\! \left(x \right)<br />
  
    F_{239}\! \left(x \right) = F_{240}\! \left(x \right)<br />
  
    F_{240}\! \left(x \right) = F_{2}\! \left(x \right) F_{241}\! \left(x \right)<br />
  
    F_{241}\! \left(x \right) = F_{242}\! \left(x \right)+F_{31}\! \left(x \right)<br />
  
    F_{242}\! \left(x \right) = F_{243}\! \left(x \right)<br />
  
    F_{243}\! \left(x \right) = F_{244}\! \left(x \right) F_{31}\! \left(x \right)<br />
  
    F_{244}\! \left(x \right) = F_{245}\! \left(x \right)+F_{247}\! \left(x \right)<br />
  
    F_{245}\! \left(x \right) = F_{241}\! \left(x \right)+F_{246}\! \left(x \right)<br />
  
    F_{246}\! \left(x \right) = F_{15}\! \left(x \right) F_{31}\! \left(x \right)<br />
  
    F_{247}\! \left(x \right) = F_{248}\! \left(x \right)+F_{307}\! \left(x \right)<br />
  
    F_{248}\! \left(x \right) = F_{249}\! \left(x \right)+F_{250}\! \left(x \right)<br />
  
    F_{249}\! \left(x \right) = F_{11}\! \left(x \right) F_{31}\! \left(x \right)<br />
  
    F_{250}\! \left(x \right) = F_{251}\! \left(x \right)<br />
  
    F_{251}\! \left(x \right) = F_{252}\! \left(x \right) F_{31}\! \left(x \right)<br />
  
    F_{252}\! \left(x \right) = F_{253}\! \left(x \right)+F_{306}\! \left(x \right)<br />
  
    F_{253}\! \left(x \right) = F_{254}\! \left(x \right)+F_{256}\! \left(x \right)<br />
  
    F_{254}\! \left(x \right) = F_{255}\! \left(x \right)<br />
  
    F_{255}\! \left(x \right) = F_{11}\! \left(x \right) F_{245}\! \left(x \right)<br />
  
    F_{256}\! \left(x \right) = F_{257}\! \left(x \right)+F_{265}\! \left(x \right)<br />
  
    F_{257}\! \left(x \right) = F_{258}\! \left(x \right)+F_{259}\! \left(x \right)<br />
  
    F_{258}\! \left(x \right) = F_{31}\! \left(x \right) F_{81}\! \left(x \right)<br />
  
    F_{259}\! \left(x \right) = F_{260}\! \left(x \right)<br />
  
    F_{260}\! \left(x \right) = F_{261}\! \left(x \right) F_{31}\! \left(x \right)<br />
  
    F_{261}\! \left(x \right) = F_{262}\! \left(x \right)+F_{263}\! \left(x \right)<br />
  
    F_{262}\! \left(x \right) = F_{11}\! \left(x \right) F_{253}\! \left(x \right)<br />
  
    F_{263}\! \left(x \right) = F_{264}\! \left(x \right) F_{81}\! \left(x \right)<br />
  
    F_{264}\! \left(x \right) = F_{244}\! \left(x \right)+F_{253}\! \left(x \right)<br />
  
    F_{265}\! \left(x \right) = F_{250}\! \left(x \right)+F_{266}\! \left(x \right)<br />
  
    F_{266}\! \left(x \right) = F_{267}\! \left(x \right)<br />
  
    F_{267}\! \left(x \right) = F_{268}\! \left(x \right) F_{31}\! \left(x \right)<br />
  
    F_{268}\! \left(x \right) = F_{269}\! \left(x \right)+F_{278}\! \left(x \right)<br />
  
    F_{269}\! \left(x \right) = -F_{81}\! \left(x \right)+F_{270}\! \left(x \right)<br />
  
    F_{270}\! \left(x \right) = -F_{276}\! \left(x \right)+F_{271}\! \left(x \right)<br />
  
    F_{271}\! \left(x \right) = -F_{274}\! \left(x \right)+F_{272}\! \left(x \right)<br />
  
    F_{272}\! \left(x \right) = \frac{F_{273}\! \left(x \right)}{F_{31}\! \left(x \right)}<br />
  
    F_{273}\! \left(x \right) = F_{81}\! \left(x \right)<br />
  
    F_{274}\! \left(x \right) = F_{11}\! \left(x \right) F_{275}\! \left(x \right)<br />
  
    F_{275}\! \left(x \right) = F_{18}\! \left(x \right)+F_{271}\! \left(x \right)<br />
  
    F_{276}\! \left(x \right) = F_{277}\! \left(x \right)<br />
  
    F_{277}\! \left(x \right) = F_{11}\! \left(x \right) F_{15}\! \left(x \right)<br />
  
    F_{278}\! \left(x \right) = F_{269}\! \left(x \right)+F_{279}\! \left(x \right)<br />
  
    F_{279}\! \left(x \right) = F_{280}\! \left(x \right)<br />
  
    F_{280}\! \left(x \right) = F_{281}\! \left(x \right) F_{31}\! \left(x \right)<br />
  
    F_{281}\! \left(x \right) = F_{282}\! \left(x \right)+F_{299}\! \left(x \right)<br />
  
    F_{282}\! \left(x \right) = F_{11}\! \left(x \right) F_{283}\! \left(x \right)<br />
  
    F_{283}\! \left(x \right) = F_{284}\! \left(x \right)+F_{286}\! \left(x \right)<br />
  
    F_{284}\! \left(x \right) = F_{285}\! \left(x \right)<br />
  
    F_{285}\! \left(x \right) = F_{15}\! \left(x \right) F_{65}\! \left(x \right)<br />
  
    F_{286}\! \left(x \right) = F_{287}\! \left(x \right)+F_{294}\! \left(x \right)<br />
  
    F_{287}\! \left(x \right) = F_{288}\! \left(x \right)<br />
  
    F_{288}\! \left(x \right) = F_{289}\! \left(x \right) F_{31}\! \left(x \right)<br />
  
    F_{289}\! \left(x \right) = F_{283}\! \left(x \right)+F_{290}\! \left(x \right)<br />
  
    F_{290}\! \left(x \right) = F_{282}\! \left(x \right)+F_{291}\! \left(x \right)<br />
  
    F_{291}\! \left(x \right) = F_{292}\! \left(x \right)+F_{293}\! \left(x \right)<br />
  
    F_{292}\! \left(x \right) = F_{11}\! \left(x \right) F_{271}\! \left(x \right)<br />
  
    F_{293}\! \left(x \right) = F_{275}\! \left(x \right) F_{65}\! \left(x \right)<br />
  
    F_{294}\! \left(x \right) = F_{295}\! \left(x \right)<br />
  
    F_{295}\! \left(x \right) = F_{296}\! \left(x \right) F_{31}\! \left(x \right)<br />
  
    F_{296}\! \left(x \right) = F_{297}\! \left(x \right)+F_{298}\! \left(x \right)<br />
  
    F_{297}\! \left(x \right) = F_{271}\! \left(x \right) F_{65}\! \left(x \right)<br />
  
    F_{298}\! \left(x \right) = F_{275}\! \left(x \right) F_{287}\! \left(x \right)<br />
  
    F_{299}\! \left(x \right) = F_{300}\! \left(x \right)+F_{305}\! \left(x \right)<br />
  
    F_{300}\! \left(x \right) = F_{301}\! \left(x \right)+F_{302}\! \left(x \right)<br />
  
    F_{301}\! \left(x \right) = F_{271}\! \left(x \right) F_{81}\! \left(x \right)<br />
  
    F_{302}\! \left(x \right) = F_{275}\! \left(x \right) F_{303}\! \left(x \right)<br />
  
    F_{303}\! \left(x \right) = -F_{81}\! \left(x \right)+F_{304}\! \left(x \right)<br />
  
    F_{304}\! \left(x \right) = -F_{65}\! \left(x \right)+F_{145}\! \left(x \right)<br />
  
    F_{305}\! \left(x \right) = F_{283}\! \left(x \right) F_{81}\! \left(x \right)<br />
  
    F_{306}\! \left(x \right) = F_{11}\! \left(x \right) F_{264}\! \left(x \right)<br />
  
    F_{307}\! \left(x \right) = F_{242}\! \left(x \right)+F_{308}\! \left(x \right)<br />
  
    F_{308}\! \left(x \right) = F_{309}\! \left(x \right)<br />
  
    F_{309}\! \left(x \right) = F_{31}\! \left(x \right) F_{310}\! \left(x \right)<br />
  
    F_{310}\! \left(x \right) = F_{311}\! \left(x \right)+F_{81}\! \left(x \right)<br />
  
    F_{311}\! \left(x \right) = F_{287}\! \left(x \right)+F_{81}\! \left(x \right)<br />
  
    F_{312}\! \left(x \right) = F_{313}\! \left(x \right)+F_{315}\! \left(x \right)<br />
  
    F_{313}\! \left(x \right) = F_{314}\! \left(x \right)+F_{6}\! \left(x \right)<br />
  
    F_{314}\! \left(x \right) = F_{155}\! \left(x \right) F_{31}\! \left(x \right)<br />
  
    F_{315}\! \left(x \right) = F_{316}\! \left(x \right)+F_{317}\! \left(x \right)<br />
  
    F_{316}\! \left(x \right) = F_{11}\! \left(x \right) F_{6}\! \left(x \right)<br />
  
    F_{317}\! \left(x \right) = F_{155}\! \left(x \right) F_{242}\! \left(x \right)<br />
  
    F_{318}\! \left(x \right) = F_{319}\! \left(x \right)<br />
  
    F_{319}\! \left(x \right) = F_{320}\! \left(x \right)+F_{322}\! \left(x \right)<br />
  
    F_{320}\! \left(x \right) = F_{321}\! \left(x \right)<br />
  
    F_{321}\! \left(x \right) = F_{2}\! \left(x \right) F_{248}\! \left(x \right)<br />
  
    F_{322}\! \left(x \right) = F_{323}\! \left(x \right)+F_{326}\! \left(x \right)<br />
  
    F_{323}\! \left(x \right) = F_{234}\! \left(x \right)+F_{324}\! \left(x \right)<br />
  
    F_{324}\! \left(x \right) = F_{325}\! \left(x \right)<br />
  
    F_{325}\! \left(x \right) = F_{11}\! \left(x \right) F_{155}\! \left(x \right) F_{31}\! \left(x \right)<br />
  
    F_{326}\! \left(x \right) = F_{327}\! \left(x \right)+F_{350}\! \left(x \right)<br />
  
    F_{327}\! \left(x \right) = F_{328}\! \left(x \right)<br />
  
    F_{328}\! \left(x \right) = F_{329}\! \left(x \right)<br />
  
    F_{329}\! \left(x \right) = F_{31}\! \left(x \right) F_{330}\! \left(x \right)<br />
  
    F_{330}\! \left(x \right) = F_{331}\! \left(x \right)+F_{332}\! \left(x \right)<br />
  
    F_{331}\! \left(x \right) = F_{81}\! \left(x \right) F_{9}\! \left(x \right)<br />
  
    F_{332}\! \left(x \right) = F_{333}\! \left(x \right)+F_{336}\! \left(x \right)<br />
  
    F_{333}\! \left(x \right) = F_{334}\! \left(x \right)+F_{335}\! \left(x \right)<br />
  
    F_{334}\! \left(x \right) = F_{33}\! \left(x \right) F_{81}\! \left(x \right)<br />
  
    F_{335}\! \left(x \right) = F_{2}\! \left(x \right) F_{311}\! \left(x \right)<br />
  
    F_{336}\! \left(x \right) = F_{337}\! \left(x \right)+F_{349}\! \left(x \right)<br />
  
    F_{337}\! \left(x \right) = F_{338}\! \left(x \right) F_{81}\! \left(x \right)<br />
  
    F_{338}\! \left(x \right) = F_{339}\! \left(x \right)+F_{346}\! \left(x \right)<br />
  
    F_{339}\! \left(x \right) = F_{155}\! \left(x \right)+F_{340}\! \left(x \right)<br />
  
    F_{340}\! \left(x \right) = F_{341}\! \left(x \right)<br />
  
    F_{341}\! \left(x \right) = F_{31}\! \left(x \right) F_{342}\! \left(x \right) F_{89}\! \left(x \right)<br />
  
    F_{342}\! \left(x \right) = F_{343}\! \left(x \right)<br />
  
    F_{343}\! \left(x \right) = F_{31}\! \left(x \right) F_{344}\! \left(x \right)<br />
  
    F_{344}\! \left(x \right) = F_{2}\! \left(x \right)+F_{345}\! \left(x \right)<br />
  
    F_{345}\! \left(x \right) = F_{155}\! \left(x \right)+F_{2}\! \left(x \right)<br />
  
    F_{346}\! \left(x \right) = F_{150}\! \left(x \right)+F_{347}\! \left(x \right)<br />
  
    F_{347}\! \left(x \right) = F_{348}\! \left(x \right)<br />
  
    F_{348}\! \left(x \right) = F_{31}\! \left(x \right) F_{344}\! \left(x \right) F_{80}\! \left(x \right)<br />
  
    F_{349}\! \left(x \right) = F_{155}\! \left(x \right) F_{311}\! \left(x \right)<br />
  
    F_{350}\! \left(x \right) = F_{351}\! \left(x \right)<br />
  
    F_{351}\! \left(x \right) = F_{155}\! \left(x \right) F_{250}\! \left(x \right)<br />
  
    F_{352}\! \left(x \right) = F_{11} \left(x \right)^{2} F_{4}\! \left(x \right)<br />
  
    F_{353}\! \left(x \right) = F_{354}\! \left(x \right)+F_{357}\! \left(x \right)<br />
  
    F_{354}\! \left(x \right) = F_{355}\! \left(x \right)+F_{356}\! \left(x \right)<br />
  
    F_{355}\! \left(x \right) = F_{11}\! \left(x \right) F_{154}\! \left(x \right)<br />
  
    F_{356}\! \left(x \right) = F_{155}\! \left(x \right) F_{69}\! \left(x \right)<br />
  
    F_{357}\! \left(x \right) = F_{11}\! \left(x \right) F_{358}\! \left(x \right)<br />
  
    F_{358}\! \left(x \right) = F_{234}\! \left(x \right)+F_{328}\! \left(x \right)<br />
  
    F_{359}\! \left(x \right) = F_{11}\! \left(x \right) F_{360}\! \left(x \right)<br />
  
    F_{360}\! \left(x \right) = F_{224}\! \left(x \right)+F_{361}\! \left(x \right)<br />
  
    F_{361}\! \left(x \right) = F_{362}\! \left(x \right)<br />
  
    F_{362}\! \left(x \right) = F_{31}\! \left(x \right) F_{363}\! \left(x \right)<br />
  
    F_{363}\! \left(x \right) = F_{364}\! \left(x \right)+F_{369}\! \left(x \right)<br />
  
    F_{364}\! \left(x \right) = F_{360}\! \left(x \right)+F_{365}\! \left(x \right)<br />
  
    F_{365}\! \left(x \right) = F_{366}\! \left(x \right)+F_{367}\! \left(x \right)<br />
  
    F_{366}\! \left(x \right) = F_{11}\! \left(x \right) F_{224}\! \left(x \right)<br />
  
    F_{367}\! \left(x \right) = F_{368}\! \left(x \right)<br />
  
    F_{368}\! \left(x \right) = F_{16}\! \left(x \right) F_{31}\! \left(x \right) F_{363}\! \left(x \right)<br />
  
    F_{369}\! \left(x \right) = F_{370}\! \left(x \right)+F_{373}\! \left(x \right)<br />
  
    F_{370}\! \left(x \right) = F_{371}\! \left(x \right)+F_{372}\! \left(x \right)<br />
  
    F_{371}\! \left(x \right) = F_{224}\! \left(x \right)<br />
  
    F_{372}\! \left(x \right) = F_{361}\! \left(x \right)<br />
  
    F_{373}\! \left(x \right) = F_{374}\! \left(x \right)+F_{409}\! \left(x \right)<br />
  
    F_{374}\! \left(x \right) = F_{375}\! \left(x \right)<br />
  
    F_{375}\! \left(x \right) = F_{31}\! \left(x \right) F_{376}\! \left(x \right)<br />
  
    F_{376}\! \left(x \right) = F_{377}\! \left(x \right)+F_{386}\! \left(x \right)<br />
  
    F_{377}\! \left(x \right) = F_{378}\! \left(x \right)+F_{381}\! \left(x \right)<br />
  
    F_{378}\! \left(x \right) = F_{242}\! \left(x \right)+F_{379}\! \left(x \right)<br />
  
    F_{379}\! \left(x \right) = F_{2}\! \left(x \right) F_{380}\! \left(x \right)<br />
  
    F_{380}\! \left(x \right) = F_{11}\! \left(x \right)+F_{242}\! \left(x \right)<br />
  
    F_{381}\! \left(x \right) = F_{382}\! \left(x \right)+F_{383}\! \left(x \right)<br />
  
    F_{382}\! \left(x \right) = F_{2}\! \left(x \right) F_{242}\! \left(x \right)<br />
  
    F_{383}\! \left(x \right) = F_{366}\! \left(x \right)+F_{384}\! \left(x \right)<br />
  
    F_{384}\! \left(x \right) = F_{385}\! \left(x \right)<br />
  
    F_{385}\! \left(x \right) = F_{11}\! \left(x \right) F_{2}\! \left(x \right) F_{242}\! \left(x \right)<br />
  
    F_{386}\! \left(x \right) = F_{381}\! \left(x \right)+F_{387}\! \left(x \right)<br />
  
    F_{387}\! \left(x \right) = F_{388}\! \left(x \right)+F_{389}\! \left(x \right)<br />
  
    F_{388}\! \left(x \right) = F_{242}\! \left(x \right) F_{6}\! \left(x \right)<br />
  
    F_{389}\! \left(x \right) = F_{390}\! \left(x \right)+F_{407}\! \left(x \right)<br />
  
    F_{390}\! \left(x \right) = F_{11}\! \left(x \right) F_{391}\! \left(x \right)<br />
  
    F_{391}\! \left(x \right) = F_{392}\! \left(x \right)<br />
  
    F_{392}\! \left(x \right) = F_{31}\! \left(x \right) F_{393}\! \left(x \right)<br />
  
    F_{393}\! \left(x \right) = F_{394}\! \left(x \right)+F_{400}\! \left(x \right)<br />
  
    F_{394}\! \left(x \right) = F_{189}\! \left(x \right)+F_{395}\! \left(x \right)<br />
  
    F_{395}\! \left(x \right) = F_{396}\! \left(x \right)+F_{397}\! \left(x \right)<br />
  
    F_{396}\! \left(x \right) = F_{12}\! \left(x \right)+F_{27}\! \left(x \right)<br />
  
    F_{397}\! \left(x \right) = F_{338}\! \left(x \right)+F_{398}\! \left(x \right)<br />
  
    F_{398}\! \left(x \right) = F_{37}\! \left(x \right)+F_{399}\! \left(x \right)<br />
  
    F_{399}\! \left(x \right) = F_{2}\! \left(x \right) F_{31}\! \left(x \right)<br />
  
    F_{400}\! \left(x \right) = F_{401}\! \left(x \right)+F_{406}\! \left(x \right)<br />
  
    F_{401}\! \left(x \right) = F_{2}\! \left(x \right) F_{402}\! \left(x \right)<br />
  
    F_{402}\! \left(x \right) = F_{403}\! \left(x \right)+F_{404}\! \left(x \right)<br />
  
    F_{403}\! \left(x \right) = F_{12}\! \left(x \right)+F_{70}\! \left(x \right)<br />
  
    F_{404}\! \left(x \right) = F_{405}\! \left(x \right)+F_{82}\! \left(x \right)<br />
  
    F_{405}\! \left(x \right) = F_{249}\! \left(x \right)+F_{78}\! \left(x \right)<br />
  
    F_{406}\! \left(x \right) = F_{12}\! \left(x \right) F_{6}\! \left(x \right)<br />
  
    F_{407}\! \left(x \right) = F_{408}\! \left(x \right)<br />
  
    F_{408}\! \left(x \right) = F_{12}\! \left(x \right) F_{2}\! \left(x \right) F_{242}\! \left(x \right)<br />
  
    F_{409}\! \left(x \right) = F_{410}\! \left(x \right)<br />
  
    F_{410}\! \left(x \right) = F_{31}\! \left(x \right) F_{411}\! \left(x \right)<br />
  
    F_{411}\! \left(x \right) = F_{412}\! \left(x \right)+F_{418}\! \left(x \right)<br />
  
    F_{412}\! \left(x \right) = F_{413}\! \left(x \right)+F_{417}\! \left(x \right)<br />
  
    F_{413}\! \left(x \right) = F_{414}\! \left(x \right)+F_{415}\! \left(x \right)<br />
  
    F_{414}\! \left(x \right) = F_{11}\! \left(x \right) F_{81}\! \left(x \right)<br />
  
    F_{415}\! \left(x \right) = F_{335}\! \left(x \right)+F_{416}\! \left(x \right)<br />
  
    F_{416}\! \left(x \right) = F_{26}\! \left(x \right) F_{81}\! \left(x \right)<br />
  
    F_{417}\! \left(x \right) = F_{11}\! \left(x \right) F_{2}\! \left(x \right) F_{81}\! \left(x \right)<br />
  
    F_{418}\! \left(x \right) = F_{419}\! \left(x \right)+F_{424}\! \left(x \right)<br />
  
    F_{419}\! \left(x \right) = F_{2}\! \left(x \right) F_{420}\! \left(x \right)<br />
  
    F_{420}\! \left(x \right) = F_{414}\! \left(x \right)+F_{421}\! \left(x \right)<br />
  
    F_{421}\! \left(x \right) = F_{422}\! \left(x \right)+F_{423}\! \left(x \right)<br />
  
    F_{422}\! \left(x \right) = F_{69}\! \left(x \right) F_{81}\! \left(x \right)<br />
  
    F_{423}\! \left(x \right) = F_{11}\! \left(x \right) F_{311}\! \left(x \right)<br />
  
    F_{424}\! \left(x \right) = F_{11}\! \left(x \right) F_{6}\! \left(x \right) F_{81}\! \left(x \right)<br />
  
    F_{425}\! \left(x \right) = F_{241}\! \left(x \right)+F_{426}\! \left(x \right)<br />
  
    F_{426}\! \left(x \right) = F_{2}\! \left(x \right) F_{427}\! \left(x \right)<br />
  
    F_{427}\! \left(x \right) = F_{35}\! \left(x \right)+F_{380}\! \left(x \right)<br />
  
    F_{428}\! \left(x \right) = F_{429}\! \left(x \right)+F_{432}\! \left(x \right)<br />
  
    F_{429}\! \left(x \right) = F_{224}\! \left(x \right)+F_{430}\! \left(x \right)<br />
  
    F_{430}\! \left(x \right) = F_{431}\! \left(x \right)<br />
  
    F_{431}\! \left(x \right) = F_{11}\! \left(x \right) F_{2}\! \left(x \right) F_{31}\! \left(x \right)<br />
  
    F_{432}\! \left(x \right) = F_{361}\! \left(x \right)+F_{433}\! \left(x \right)<br />
  
    F_{433}\! \left(x \right) = F_{434}\! \left(x \right)<br />
  
    F_{434}\! \left(x \right) = F_{2}\! \left(x \right) F_{250}\! \left(x \right)<br />
  
    F_{435}\! \left(x \right) = F_{436}\! \left(x \right)+F_{440}\! \left(x \right)<br />
  
    F_{436}\! \left(x \right) = F_{216}\! \left(x \right)+F_{437}\! \left(x \right)<br />
  
    F_{437}\! \left(x \right) = F_{438}\! \left(x \right)+F_{59}\! \left(x \right)<br />
  
    F_{438}\! \left(x \right) = F_{439}\! \left(x \right)<br />
  
    F_{439}\! \left(x \right) = F_{16}\! \left(x \right) F_{213}\! \left(x \right) F_{31}\! \left(x \right)<br />
  
    F_{440}\! \left(x \right) = F_{441}\! \left(x \right)+F_{452}\! \left(x \right)<br />
  
    F_{441}\! \left(x \right) = F_{442}\! \left(x \right)+F_{448}\! \left(x \right)<br />
  
    F_{442}\! \left(x \right) = F_{11}\! \left(x \right) F_{443}\! \left(x \right)<br />
  
    F_{443}\! \left(x \right) = F_{2}\! \left(x \right)+F_{444}\! \left(x \right)<br />
  
    F_{444}\! \left(x \right) = F_{445}\! \left(x \right)<br />
  
    F_{445}\! \left(x \right) = F_{31}\! \left(x \right) F_{446}\! \left(x \right)<br />
  
    F_{446}\! \left(x \right) = F_{2}\! \left(x \right)+F_{447}\! \left(x \right)<br />
  
    F_{447}\! \left(x \right) = F_{15}\! \left(x \right) F_{2}\! \left(x \right)<br />
  
    F_{448}\! \left(x \right) = F_{449}\! \left(x \right)+F_{450}\! \left(x \right)<br />
  
    F_{449}\! \left(x \right) = F_{2}\! \left(x \right) F_{65}\! \left(x \right)<br />
  
    F_{450}\! \left(x \right) = F_{451}\! \left(x \right)<br />
  
    F_{451}\! \left(x \right) = F_{31}\! \left(x \right) F_{446}\! \left(x \right) F_{80}\! \left(x \right)<br />
  
    F_{452}\! \left(x \right) = F_{453}\! \left(x \right)+F_{459}\! \left(x \right)<br />
  
    F_{453}\! \left(x \right) = F_{29}\! \left(x \right)+F_{454}\! \left(x \right)<br />
  
    F_{454}\! \left(x \right) = F_{455}\! \left(x \right)<br />
  
    F_{455}\! \left(x \right) = F_{11}\! \left(x \right) F_{31}\! \left(x \right) F_{456}\! \left(x \right)<br />
  
    F_{456}\! \left(x \right) = F_{22}\! \left(x \right)+F_{457}\! \left(x \right)<br />
  
    F_{457}\! \left(x \right) = F_{449}\! \left(x \right)+F_{458}\! \left(x \right)<br />
  
    F_{458}\! \left(x \right) = F_{22}\! \left(x \right)+F_{27}\! \left(x \right)<br />
  
    F_{459}\! \left(x \right) = F_{460}\! \left(x \right)+F_{462}\! \left(x \right)<br />
  
    F_{460}\! \left(x \right) = F_{461}\! \left(x \right)<br />
  
    F_{461}\! \left(x \right) = F_{145}\! \left(x \right) F_{24}\! \left(x \right) F_{31}\! \left(x \right)<br />
  
    F_{462}\! \left(x \right) = F_{463}\! \left(x \right)<br />
  
    F_{463}\! \left(x \right) = F_{31}\! \left(x \right) F_{456}\! \left(x \right) F_{80}\! \left(x \right)<br />
  
    F_{464}\! \left(x \right) = F_{465}\! \left(x \right)+F_{472}\! \left(x \right)<br />
  
    F_{465}\! \left(x \right) = F_{449}\! \left(x \right)+F_{466}\! \left(x \right)<br />
  
    F_{466}\! \left(x \right) = F_{467}\! \left(x \right)<br />
  
    F_{467}\! \left(x \right) = F_{31}\! \left(x \right) F_{468}\! \left(x \right)<br />
  
    F_{468}\! \left(x \right) = F_{146}\! \left(x \right)+F_{469}\! \left(x \right)<br />
  
    F_{469}\! \left(x \right) = F_{470}\! \left(x \right)+F_{471}\! \left(x \right)<br />
  
    F_{470}\! \left(x \right) = F_{2}\! \left(x \right) F_{207}\! \left(x \right)<br />
  
    F_{471}\! \left(x \right) = F_{145}\! \left(x \right) F_{6}\! \left(x \right)<br />
  
    F_{472}\! \left(x \right) = F_{2}\! \left(x \right) F_{304}\! \left(x \right)<br />
  
    F_{473}\! \left(x \right) = F_{474}\! \left(x \right)+F_{475}\! \left(x \right)<br />
  
    F_{474}\! \left(x \right) = F_{2}\! \left(x \right) F_{205}\! \left(x \right)<br />
  
    F_{475}\! \left(x \right) = F_{476}\! \left(x \right)+F_{594}\! \left(x \right)<br />
  
    F_{476}\! \left(x \right) = F_{477}\! \left(x \right)+F_{478}\! \left(x \right)<br />
  
    F_{477}\! \left(x \right) = F_{155}\! \left(x \right) F_{65}\! \left(x \right)<br />
  
    F_{478}\! \left(x \right) = -F_{558}\! \left(x \right)+F_{479}\! \left(x \right)<br />
  
    F_{479}\! \left(x \right) = F_{480}\! \left(x \right)<br />
  
    F_{480}\! \left(x \right) = -F_{557}\! \left(x \right)+F_{481}\! \left(x \right)<br />
  
    F_{481}\! \left(x \right) = -F_{548}\! \left(x \right)+F_{482}\! \left(x \right)<br />
  
    F_{482}\! \left(x \right) = -F_{544}\! \left(x \right)+F_{483}\! \left(x \right)<br />
  
    F_{483}\! \left(x \right) = -F_{540}\! \left(x \right)+F_{484}\! \left(x \right)<br />
  
    F_{484}\! \left(x \right) = \frac{F_{485}\! \left(x \right)}{F_{31}\! \left(x \right)}<br />
  
    F_{485}\! \left(x \right) = F_{486}\! \left(x \right)<br />
  
    F_{486}\! \left(x \right) = F_{487}\! \left(x \right)<br />
  
    F_{487}\! \left(x \right) = F_{31}\! \left(x \right) F_{488}\! \left(x \right)<br />
  
    F_{488}\! \left(x \right) = F_{489}\! \left(x \right)+F_{502}\! \left(x \right)<br />
  
    F_{489}\! \left(x \right) = F_{490}\! \left(x \right)+F_{493}\! \left(x \right)<br />
  
    F_{490}\! \left(x \right) = F_{383}\! \left(x \right)+F_{491}\! \left(x \right)<br />
  
    F_{491}\! \left(x \right) = F_{492}\! \left(x \right)<br />
  
    F_{492}\! \left(x \right) = F_{11} \left(x \right)^{2} F_{2}\! \left(x \right) F_{31}\! \left(x \right)<br />
  
    F_{493}\! \left(x \right) = F_{494}\! \left(x \right)+F_{500}\! \left(x \right)<br />
  
    F_{494}\! \left(x \right) = F_{495}\! \left(x \right)+F_{496}\! \left(x \right)<br />
  
    F_{495}\! \left(x \right) = F_{11}\! \left(x \right) F_{429}\! \left(x \right)<br />
  
    F_{496}\! \left(x \right) = F_{497}\! \left(x \right)+F_{498}\! \left(x \right)<br />
  
    F_{497}\! \left(x \right) = F_{224}\! \left(x \right) F_{81}\! \left(x \right)<br />
  
    F_{498}\! \left(x \right) = F_{499}\! \left(x \right)<br />
  
    F_{499}\! \left(x \right) = F_{11}\! \left(x \right) F_{2}\! \left(x \right) F_{250}\! \left(x \right)<br />
  
    F_{500}\! \left(x \right) = F_{501}\! \left(x \right)<br />
  
    F_{501}\! \left(x \right) = F_{11}\! \left(x \right) F_{2}\! \left(x \right) F_{307}\! \left(x \right)<br />
  
    F_{502}\! \left(x \right) = F_{503}\! \left(x \right)+F_{520}\! \left(x \right)<br />
  
    F_{503}\! \left(x \right) = F_{504}\! \left(x \right)+F_{506}\! \left(x \right)<br />
  
    F_{504}\! \left(x \right) = F_{491}\! \left(x \right)+F_{505}\! \left(x \right)<br />
  
    F_{505}\! \left(x \right) = F_{162}\! \left(x \right)+F_{384}\! \left(x \right)<br />
  
    F_{506}\! \left(x \right) = F_{507}\! \left(x \right)+F_{516}\! \left(x \right)<br />
  
    F_{507}\! \left(x \right) = F_{508}\! \left(x \right)+F_{510}\! \left(x \right)<br />
  
    F_{508}\! \left(x \right) = F_{11}\! \left(x \right) F_{509}\! \left(x \right)<br />
  
    F_{509}\! \left(x \right) = F_{155}\! \left(x \right)+F_{430}\! \left(x \right)<br />
  
    F_{510}\! \left(x \right) = F_{477}\! \left(x \right)+F_{511}\! \left(x \right)<br />
  
    F_{511}\! \left(x \right) = F_{512}\! \left(x \right)<br />
  
    F_{512}\! \left(x \right) = F_{11}\! \left(x \right) F_{2}\! \left(x \right) F_{513}\! \left(x \right)<br />
  
    F_{513}\! \left(x \right) = F_{514}\! \left(x \right)<br />
  
    F_{514}\! \left(x \right) = F_{31}\! \left(x \right) F_{515}\! \left(x \right)<br />
  
    F_{515}\! \left(x \right) = F_{210}\! \left(x \right)+F_{81}\! \left(x \right)<br />
  
    F_{516}\! \left(x \right) = F_{517}\! \left(x \right)<br />
  
    F_{517}\! \left(x \right) = F_{11}\! \left(x \right) F_{2}\! \left(x \right) F_{518}\! \left(x \right)<br />
  
    F_{518}\! \left(x \right) = F_{242}\! \left(x \right)+F_{519}\! \left(x \right)<br />
  
    F_{519}\! \left(x \right) = F_{309}\! \left(x \right)<br />
  
    F_{520}\! \left(x \right) = F_{521}\! \left(x \right)+F_{528}\! \left(x \right)<br />
  
    F_{521}\! \left(x \right) = F_{522}\! \left(x \right)+F_{526}\! \left(x \right)<br />
  
    F_{522}\! \left(x \right) = F_{523}\! \left(x \right)+F_{524}\! \left(x \right)<br />
  
    F_{523}\! \left(x \right) = F_{11}\! \left(x \right) F_{234}\! \left(x \right)<br />
  
    F_{524}\! \left(x \right) = F_{525}\! \left(x \right)<br />
  
    F_{525}\! \left(x \right) = F_{11}\! \left(x \right) F_{242}\! \left(x \right) F_{6}\! \left(x \right)<br />
  
    F_{526}\! \left(x \right) = F_{527}\! \left(x \right)<br />
  
    F_{527}\! \left(x \right) = F_{11} \left(x \right)^{2} F_{155}\! \left(x \right) F_{31}\! \left(x \right)<br />
  
    F_{528}\! \left(x \right) = F_{529}\! \left(x \right)+F_{538}\! \left(x \right)<br />
  
    F_{529}\! \left(x \right) = F_{530}\! \left(x \right)+F_{534}\! \left(x \right)<br />
  
    F_{530}\! \left(x \right) = F_{11}\! \left(x \right) F_{531}\! \left(x \right)<br />
  
    F_{531}\! \left(x \right) = F_{234}\! \left(x \right)+F_{532}\! \left(x \right)<br />
  
    F_{532}\! \left(x \right) = F_{533}\! \left(x \right)<br />
  
    F_{533}\! \left(x \right) = F_{11}\! \left(x \right) F_{31}\! \left(x \right) F_{6}\! \left(x \right)<br />
  
    F_{534}\! \left(x \right) = F_{535}\! \left(x \right)+F_{536}\! \left(x \right)<br />
  
    F_{535}\! \left(x \right) = F_{234}\! \left(x \right) F_{81}\! \left(x \right)<br />
  
    F_{536}\! \left(x \right) = F_{537}\! \left(x \right)<br />
  
    F_{537}\! \left(x \right) = F_{11}\! \left(x \right) F_{250}\! \left(x \right) F_{6}\! \left(x \right)<br />
  
    F_{538}\! \left(x \right) = F_{539}\! \left(x \right)<br />
  
    F_{539}\! \left(x \right) = F_{11}\! \left(x \right) F_{155}\! \left(x \right) F_{307}\! \left(x \right)<br />
  
    F_{540}\! \left(x \right) = F_{541}\! \left(x \right)+F_{542}\! \left(x \right)<br />
  
    F_{541}\! \left(x \right) = F_{11}\! \left(x \right) F_{429}\! \left(x \right)<br />
  
    F_{542}\! \left(x \right) = F_{500}\! \left(x \right)+F_{543}\! \left(x \right)<br />
  
    F_{543}\! \left(x \right) = F_{17}\! \left(x \right) F_{224}\! \left(x \right)<br />
  
    F_{544}\! \left(x \right) = F_{545}\! \left(x \right)+F_{546}\! \left(x \right)<br />
  
    F_{545}\! \left(x \right) = F_{11}\! \left(x \right) F_{323}\! \left(x \right)<br />
  
    F_{546}\! \left(x \right) = F_{538}\! \left(x \right)+F_{547}\! \left(x \right)<br />
  
    F_{547}\! \left(x \right) = F_{17}\! \left(x \right) F_{234}\! \left(x \right)<br />
  
    F_{548}\! \left(x \right) = F_{549}\! \left(x \right)<br />
  
    F_{549}\! \left(x \right) = F_{11}\! \left(x \right) F_{550}\! \left(x \right)<br />
  
    F_{550}\! \left(x \right) = F_{430}\! \left(x \right)+F_{551}\! \left(x \right)<br />
  
    F_{551}\! \left(x \right) = F_{155}\! \left(x \right)+F_{552}\! \left(x \right)<br />
  
    F_{552}\! \left(x \right) = F_{553}\! \left(x \right)<br />
  
    F_{553}\! \left(x \right) = F_{31}\! \left(x \right) F_{554}\! \left(x \right) F_{89}\! \left(x \right)<br />
  
    F_{554}\! \left(x \right) = F_{555}\! \left(x \right)<br />
  
    F_{555}\! \left(x \right) = F_{31}\! \left(x \right) F_{556}\! \left(x \right)<br />
  
    F_{556}\! \left(x \right) = F_{2}\! \left(x \right)+F_{5}\! \left(x \right)<br />
  
    F_{557}\! \left(x \right) = F_{356}\! \left(x \right)+F_{516}\! \left(x \right)<br />
  
    F_{558}\! \left(x \right) = F_{559}\! \left(x \right)<br />
  
    F_{559}\! \left(x \right) = -F_{384}\! \left(x \right)+F_{560}\! \left(x \right)<br />
  
    F_{560}\! \left(x \right) = -F_{592}\! \left(x \right)+F_{561}\! \left(x \right)<br />
  
    F_{561}\! \left(x \right) = -F_{384}\! \left(x \right)+F_{562}\! \left(x \right)<br />
  
    F_{562}\! \left(x \right) = \frac{F_{563}\! \left(x \right)}{F_{31}\! \left(x \right)}<br />
  
    F_{563}\! \left(x \right) = F_{564}\! \left(x \right)<br />
  
    F_{564}\! \left(x \right) = F_{31}\! \left(x \right) F_{565}\! \left(x \right)<br />
  
    F_{565}\! \left(x \right) = F_{566}\! \left(x \right)<br />
  
    F_{566}\! \left(x \right) = F_{567}\! \left(x \right)+F_{587}\! \left(x \right)<br />
  
    F_{567}\! \left(x \right) = F_{568}\! \left(x \right)+F_{585}\! \left(x \right)<br />
  
    F_{568}\! \left(x \right) = F_{569}\! \left(x \right)<br />
  
    F_{569}\! \left(x \right) = F_{570}\! \left(x \right)<br />
  
    F_{570}\! \left(x \right) = F_{31}\! \left(x \right) F_{571}\! \left(x \right)<br />
  
    F_{571}\! \left(x \right) = F_{572}\! \left(x \right)+F_{573}\! \left(x \right)<br />
  
    F_{572}\! \left(x \right) = F_{16}\! \left(x \right) F_{2}\! \left(x \right) F_{31}\! \left(x \right)<br />
  
    F_{573}\! \left(x \right) = F_{574}\! \left(x \right)+F_{584}\! \left(x \right)<br />
  
    F_{574}\! \left(x \right) = F_{575}\! \left(x \right)+F_{578}\! \left(x \right)<br />
  
    F_{575}\! \left(x \right) = F_{576}\! \left(x \right)<br />
  
    F_{576}\! \left(x \right) = F_{11}\! \left(x \right) F_{577}\! \left(x \right)<br />
  
    F_{577}\! \left(x \right) = F_{342}\! \left(x \right)+F_{399}\! \left(x \right)<br />
  
    F_{578}\! \left(x \right) = F_{579}\! \left(x \right)<br />
  
    F_{579}\! \left(x \right) = F_{580}\! \left(x \right)+F_{582}\! \left(x \right)<br />
  
    F_{580}\! \left(x \right) = F_{11}\! \left(x \right) F_{581}\! \left(x \right)<br />
  
    F_{581}\! \left(x \right) = F_{577}\! \left(x \right)<br />
  
    F_{582}\! \left(x \right) = F_{583}\! \left(x \right)<br />
  
    F_{583}\! \left(x \right) = F_{577}\! \left(x \right) F_{65}\! \left(x \right)<br />
  
    F_{584}\! \left(x \right) = F_{16}\! \left(x \right) F_{31}\! \left(x \right) F_{6}\! \left(x \right)<br />
  
    F_{585}\! \left(x \right) = F_{586}\! \left(x \right)<br />
  
    F_{586}\! \left(x \right) = F_{569}\! \left(x \right) F_{91}\! \left(x \right)<br />
  
    F_{587}\! \left(x \right) = F_{588}\! \left(x \right)+F_{590}\! \left(x \right)<br />
  
    F_{588}\! \left(x \right) = F_{589}\! \left(x \right)<br />
  
    F_{589}\! \left(x \right) = F_{11}\! \left(x \right) F_{569}\! \left(x \right)<br />
  
    F_{590}\! \left(x \right) = F_{591}\! \left(x \right)<br />
  
    F_{591}\! \left(x \right) = F_{102}\! \left(x \right) F_{569}\! \left(x \right)<br />
  
    F_{592}\! \left(x \right) = F_{593}\! \left(x \right)<br />
  
    F_{593}\! \left(x \right) = F_{11}\! \left(x \right) F_{155}\! \left(x \right) F_{242}\! \left(x \right)<br />
  
    F_{594}\! \left(x \right) = F_{155}\! \left(x \right) F_{304}\! \left(x \right)<br />
  
    F_{595}\! \left(x \right) = F_{473}\! \left(x \right)+F_{596}\! \left(x \right)<br />
  
    F_{596}\! \left(x \right) = F_{597}\! \left(x \right)+F_{598}\! \left(x \right)<br />
  
    F_{597}\! \left(x \right) = F_{205}\! \left(x \right) F_{6}\! \left(x \right)<br />
  
    F_{598}\! \left(x \right) = F_{599}\! \left(x \right)+F_{764}\! \left(x \right)<br />
  
    F_{599}\! \left(x \right) = F_{600}\! \left(x \right)+F_{610}\! \left(x \right)<br />
  
    F_{600}\! \left(x \right) = F_{601}\! \left(x \right) F_{65}\! \left(x \right)<br />
  
    F_{601}\! \left(x \right) = F_{602}\! \left(x \right)<br />
  
    F_{602}\! \left(x \right) = F_{31}\! \left(x \right) F_{603}\! \left(x \right)<br />
  
    F_{603}\! \left(x \right) = F_{604}\! \left(x \right)+F_{606}\! \left(x \right)<br />
  
    F_{604}\! \left(x \right) = F_{397}\! \left(x \right)+F_{605}\! \left(x \right)<br />
  
    F_{605}\! \left(x \right) = F_{179}\! \left(x \right)+F_{27}\! \left(x \right)<br />
  
    F_{606}\! \left(x \right) = F_{607}\! \left(x \right)+F_{609}\! \left(x \right)<br />
  
    F_{607}\! \left(x \right) = F_{188}\! \left(x \right)+F_{608}\! \left(x \right)<br />
  
    F_{608}\! \left(x \right) = F_{2}\! \left(x \right) F_{70}\! \left(x \right)<br />
  
    F_{609}\! \left(x \right) = F_{2}\! \left(x \right) F_{404}\! \left(x \right)<br />
  
    F_{610}\! \left(x \right) = -F_{740}\! \left(x \right)+F_{611}\! \left(x \right)<br />
  
    F_{611}\! \left(x \right) = F_{612}\! \left(x \right)<br />
  
    F_{612}\! \left(x \right) = -F_{712}\! \left(x \right)+F_{613}\! \left(x \right)<br />
  
    F_{613}\! \left(x \right) = -F_{705}\! \left(x \right)+F_{614}\! \left(x \right)<br />
  
    F_{614}\! \left(x \right) = -F_{691}\! \left(x \right)+F_{615}\! \left(x \right)<br />
  
    F_{615}\! \left(x \right) = -F_{690}\! \left(x \right)+F_{616}\! \left(x \right)<br />
  
    F_{616}\! \left(x \right) = \frac{F_{617}\! \left(x \right)}{F_{31}\! \left(x \right)}<br />
  
    F_{617}\! \left(x \right) = F_{618}\! \left(x \right)<br />
  
    F_{618}\! \left(x \right) = -F_{673}\! \left(x \right)+F_{619}\! \left(x \right)<br />
  
    F_{619}\! \left(x \right) = -F_{689}\! \left(x \right)+F_{620}\! \left(x \right)<br />
  
    F_{620}\! \left(x \right) = -F_{662}\! \left(x \right)+F_{621}\! \left(x \right)<br />
  
    F_{621}\! \left(x \right) = -F_{624}\! \left(x \right)+F_{622}\! \left(x \right)<br />
  
    F_{622}\! \left(x \right) = \frac{F_{623}\! \left(x \right)}{F_{31}\! \left(x \right)}<br />
  
    F_{623}\! \left(x \right) = F_{486}\! \left(x \right)<br />
  
    F_{624}\! \left(x \right) = F_{625}\! \left(x \right)+F_{662}\! \left(x \right)<br />
  
    F_{625}\! \left(x \right) = F_{626}\! \left(x \right)+F_{631}\! \left(x \right)<br />
  
    F_{626}\! \left(x \right) = F_{627}\! \left(x \right)<br />
  
    F_{627}\! \left(x \right) = F_{31}\! \left(x \right) F_{628}\! \left(x \right)<br />
  
    F_{628}\! \left(x \right) = F_{242}\! \left(x \right)+F_{629}\! \left(x \right)<br />
  
    F_{629}\! \left(x \right) = F_{630}\! \left(x \right)<br />
  
    F_{630}\! \left(x \right) = F_{16}\! \left(x \right) F_{31}\! \left(x \right)<br />
  
    F_{631}\! \left(x \right) = F_{632}\! \left(x \right)+F_{656}\! \left(x \right)<br />
  
    F_{632}\! \left(x \right) = F_{633}\! \left(x \right)<br />
  
    F_{633}\! \left(x \right) = F_{31}\! \left(x \right) F_{634}\! \left(x \right)<br />
  
    F_{634}\! \left(x \right) = F_{635}\! \left(x \right)+F_{639}\! \left(x \right)<br />
  
    F_{635}\! \left(x \right) = F_{2}\! \left(x \right) F_{636}\! \left(x \right)<br />
  
    F_{636}\! \left(x \right) = F_{380}\! \left(x \right)+F_{637}\! \left(x \right)<br />
  
    F_{637}\! \left(x \right) = F_{638}\! \left(x \right)+F_{76}\! \left(x \right)<br />
  
    F_{638}\! \left(x \right) = F_{250}\! \left(x \right)+F_{81}\! \left(x \right)<br />
  
    F_{639}\! \left(x \right) = F_{640}\! \left(x \right)+F_{655}\! \left(x \right)<br />
  
    F_{640}\! \left(x \right) = F_{641}\! \left(x \right)+F_{645}\! \left(x \right)<br />
  
    F_{641}\! \left(x \right) = F_{379}\! \left(x \right)+F_{642}\! \left(x \right)<br />
  
    F_{642}\! \left(x \right) = F_{643}\! \left(x \right)<br />
  
    F_{643}\! \left(x \right) = F_{644}\! \left(x \right)<br />
  
    F_{644}\! \left(x \right) = F_{16}\! \left(x \right) F_{31}\! \left(x \right) F_{344}\! \left(x \right)<br />
  
    F_{645}\! \left(x \right) = F_{646}\! \left(x \right)+F_{650}\! \left(x \right)<br />
  
    F_{646}\! \left(x \right) = F_{647}\! \left(x \right)<br />
  
    F_{647}\! \left(x \right) = F_{11}\! \left(x \right) F_{648}\! \left(x \right)<br />
  
    F_{648}\! \left(x \right) = F_{399}\! \left(x \right)+F_{649}\! \left(x \right)<br />
  
    F_{649}\! \left(x \right) = F_{2}\! \left(x \right)+F_{342}\! \left(x \right)<br />
  
    F_{650}\! \left(x \right) = F_{651}\! \left(x \right)+F_{653}\! \left(x \right)<br />
  
    F_{651}\! \left(x \right) = F_{2}\! \left(x \right) F_{652}\! \left(x \right)<br />
  
    F_{652}\! \left(x \right) = F_{513}\! \left(x \right)+F_{65}\! \left(x \right)<br />
  
    F_{653}\! \left(x \right) = F_{654}\! \left(x \right)<br />
  
    F_{654}\! \left(x \right) = F_{347}\! \left(x \right)<br />
  
    F_{655}\! \left(x \right) = F_{6}\! \left(x \right) F_{636}\! \left(x \right)<br />
  
    F_{656}\! \left(x \right) = F_{657}\! \left(x \right)<br />
  
    F_{657}\! \left(x \right) = F_{31}\! \left(x \right) F_{658}\! \left(x \right)<br />
  
    F_{658}\! \left(x \right) = F_{382}\! \left(x \right)+F_{659}\! \left(x \right)<br />
  
    F_{659}\! \left(x \right) = F_{388}\! \left(x \right)+F_{660}\! \left(x \right)<br />
  
    F_{660}\! \left(x \right) = F_{661}\! \left(x \right)<br />
  
    F_{661}\! \left(x \right) = F_{382}\! \left(x \right)+F_{642}\! \left(x \right)<br />
  
    F_{662}\! \left(x \right) = F_{663}\! \left(x \right)+F_{664}\! \left(x \right)<br />
  
    F_{663}\! \left(x \right) = F_{2}\! \left(x \right) F_{626}\! \left(x \right)<br />
  
    F_{664}\! \left(x \right) = F_{486}\! \left(x \right)+F_{665}\! \left(x \right)<br />
  
    F_{665}\! \left(x \right) = F_{666}\! \left(x \right)<br />
  
    F_{666}\! \left(x \right) = F_{31}\! \left(x \right) F_{667}\! \left(x \right)<br />
  
    F_{667}\! \left(x \right) = F_{668}\! \left(x \right)+F_{671}\! \left(x \right)<br />
  
    F_{668}\! \left(x \right) = F_{669}\! \left(x \right)+F_{670}\! \left(x \right)<br />
  
    F_{669}\! \left(x \right) = F_{656}\! \left(x \right)<br />
  
    F_{670}\! \left(x \right) = F_{665}\! \left(x \right)<br />
  
    F_{671}\! \left(x \right) = F_{670}\! \left(x \right)+F_{672}\! \left(x \right)<br />
  
    F_{672}\! \left(x \right) = F_{673}\! \left(x \right)<br />
  
    F_{673}\! \left(x \right) = F_{674}\! \left(x \right)<br />
  
    F_{674}\! \left(x \right) = F_{31}\! \left(x \right) F_{675}\! \left(x \right)<br />
  
    F_{675}\! \left(x \right) = F_{407}\! \left(x \right)+F_{676}\! \left(x \right)<br />
  
    F_{676}\! \left(x \right) = F_{677}\! \left(x \right)+F_{687}\! \left(x \right)<br />
  
    F_{677}\! \left(x \right) = F_{678}\! \left(x \right)<br />
  
    F_{678}\! \left(x \right) = F_{407}\! \left(x \right)+F_{679}\! \left(x \right)<br />
  
    F_{679}\! \left(x \right) = F_{680}\! \left(x \right)<br />
  
    F_{680}\! \left(x \right) = -F_{684}\! \left(x \right)+F_{681}\! \left(x \right)<br />
  
    F_{681}\! \left(x \right) = -F_{686}\! \left(x \right)+F_{682}\! \left(x \right)<br />
  
    F_{682}\! \left(x \right) = \frac{F_{683}\! \left(x \right)}{F_{31}\! \left(x \right)}<br />
  
    F_{683}\! \left(x \right) = F_{684}\! \left(x \right)<br />
  
    F_{684}\! \left(x \right) = F_{685}\! \left(x \right)<br />
  
    F_{685}\! \left(x \right) = F_{31}\! \left(x \right) F_{643}\! \left(x \right) F_{89}\! \left(x \right)<br />
  
    F_{686}\! \left(x \right) = F_{643}\! \left(x \right)+F_{684}\! \left(x \right)<br />
  
    F_{687}\! \left(x \right) = F_{688}\! \left(x \right)<br />
  
    F_{688}\! \left(x \right) = F_{12}\! \left(x \right) F_{242}\! \left(x \right) F_{6}\! \left(x \right)<br />
  
    F_{689}\! \left(x \right) = F_{6}\! \left(x \right) F_{626}\! \left(x \right)<br />
  
    F_{690}\! \left(x \right) = F_{16}\! \left(x \right) F_{391}\! \left(x \right)<br />
  
    F_{691}\! \left(x \right) = F_{16}\! \left(x \right) F_{692}\! \left(x \right)<br />
  
    F_{692}\! \left(x \right) = F_{693}\! \left(x \right)<br />
  
    F_{693}\! \left(x \right) = F_{31}\! \left(x \right) F_{694}\! \left(x \right)<br />
  
    F_{694}\! \left(x \right) = F_{695}\! \left(x \right)+F_{696}\! \left(x \right)<br />
  
    F_{695}\! \left(x \right) = F_{12}\! \left(x \right) F_{9}\! \left(x \right)<br />
  
    F_{696}\! \left(x \right) = F_{697}\! \left(x \right)+F_{700}\! \left(x \right)<br />
  
    F_{697}\! \left(x \right) = F_{609}\! \left(x \right)+F_{698}\! \left(x \right)<br />
  
    F_{698}\! \left(x \right) = F_{608}\! \left(x \right)+F_{699}\! \left(x \right)<br />
  
    F_{699}\! \left(x \right) = F_{12}\! \left(x \right) F_{33}\! \left(x \right)<br />
  
    F_{700}\! \left(x \right) = F_{701}\! \left(x \right)+F_{704}\! \left(x \right)<br />
  
    F_{701}\! \left(x \right) = F_{702}\! \left(x \right)+F_{703}\! \left(x \right)<br />
  
    F_{702}\! \left(x \right) = F_{12}\! \left(x \right) F_{338}\! \left(x \right)<br />
  
    F_{703}\! \left(x \right) = F_{155}\! \left(x \right) F_{70}\! \left(x \right)<br />
  
    F_{704}\! \left(x \right) = F_{155}\! \left(x \right) F_{404}\! \left(x \right)<br />
  
    F_{705}\! \left(x \right) = F_{706}\! \left(x \right)+F_{708}\! \left(x \right)<br />
  
    F_{706}\! \left(x \right) = F_{680}\! \left(x \right)+F_{707}\! \left(x \right)<br />
  
    F_{707}\! \left(x \right) = F_{11}\! \left(x \right) F_{601}\! \left(x \right)<br />
  
    F_{708}\! \left(x \right) = F_{709}\! \left(x \right)<br />
  
    F_{709}\! \left(x \right) = F_{11}\! \left(x \right) F_{710}\! \left(x \right)<br />
  
    F_{710}\! \left(x \right) = F_{711}\! \left(x \right)<br />
  
    F_{711}\! \left(x \right) = F_{12}\! \left(x \right) F_{31}\! \left(x \right) F_{556}\! \left(x \right)<br />
  
    F_{712}\! \left(x \right) = F_{713}\! \left(x \right)+F_{717}\! \left(x \right)<br />
  
    F_{713}\! \left(x \right) = F_{11}\! \left(x \right) F_{714}\! \left(x \right)<br />
  
    F_{714}\! \left(x \right) = F_{601}\! \left(x \right)+F_{715}\! \left(x \right)<br />
  
    F_{715}\! \left(x \right) = F_{716}\! \left(x \right)<br />
  
    F_{716}\! \left(x \right) = F_{12}\! \left(x \right) F_{31}\! \left(x \right) F_{344}\! \left(x \right)<br />
  
    F_{717}\! \left(x \right) = F_{600}\! \left(x \right)+F_{718}\! \left(x \right)<br />
  
    F_{718}\! \left(x \right) = -F_{724}\! \left(x \right)+F_{719}\! \left(x \right)<br />
  
    F_{719}\! \left(x \right) = -F_{723}\! \left(x \right)+F_{720}\! \left(x \right)<br />
  
    F_{720}\! \left(x \right) = \frac{F_{721}\! \left(x \right)}{F_{31}\! \left(x \right)}<br />
  
    F_{721}\! \left(x \right) = F_{722}\! \left(x \right)<br />
  
    F_{722}\! \left(x \right) = F_{31}\! \left(x \right) F_{654}\! \left(x \right) F_{89}\! \left(x \right)<br />
  
    F_{723}\! \left(x \right) = F_{654}\! \left(x \right)+F_{724}\! \left(x \right)<br />
  
    F_{724}\! \left(x \right) = -F_{477}\! \left(x \right)+F_{725}\! \left(x \right)<br />
  
    F_{725}\! \left(x \right) = -F_{739}\! \left(x \right)+F_{726}\! \left(x \right)<br />
  
    F_{726}\! \left(x \right) = -F_{738}\! \left(x \right)+F_{727}\! \left(x \right)<br />
  
    F_{727}\! \left(x \right) = -F_{734}\! \left(x \right)+F_{728}\! \left(x \right)<br />
  
    F_{728}\! \left(x \right) = -F_{733}\! \left(x \right)+F_{729}\! \left(x \right)<br />
  
    F_{729}\! \left(x \right) = -F_{732}\! \left(x \right)+F_{730}\! \left(x \right)<br />
  
    F_{730}\! \left(x \right) = \frac{F_{731}\! \left(x \right)}{F_{31}\! \left(x \right)}<br />
  
    F_{731}\! \left(x \right) = F_{486}\! \left(x \right)<br />
  
    F_{732}\! \left(x \right) = F_{16}\! \left(x \right) F_{224}\! \left(x \right)<br />
  
    F_{733}\! \left(x \right) = F_{16}\! \left(x \right) F_{234}\! \left(x \right)<br />
  
    F_{734}\! \left(x \right) = F_{735}\! \left(x \right)+F_{736}\! \left(x \right)<br />
  
    F_{735}\! \left(x \right) = F_{162}\! \left(x \right)+F_{684}\! \left(x \right)<br />
  
    F_{736}\! \left(x \right) = F_{737}\! \left(x \right)<br />
  
    F_{737}\! \left(x \right) = F_{11}\! \left(x \right) F_{552}\! \left(x \right)<br />
  
    F_{738}\! \left(x \right) = F_{479}\! \left(x \right)<br />
  
    F_{739}\! \left(x \right) = F_{11}\! \left(x \right) F_{339}\! \left(x \right)<br />
  
    F_{740}\! \left(x \right) = -F_{707}\! \left(x \right)+F_{741}\! \left(x \right)<br />
  
    F_{741}\! \left(x \right) = -F_{763}\! \left(x \right)+F_{742}\! \left(x \right)<br />
  
    F_{742}\! \left(x \right) = -F_{388}\! \left(x \right)+F_{743}\! \left(x \right)<br />
  
    F_{743}\! \left(x \right) = -F_{759}\! \left(x \right)+F_{744}\! \left(x \right)<br />
  
    F_{744}\! \left(x \right) = -F_{747}\! \left(x \right)+F_{745}\! \left(x \right)<br />
  
    F_{745}\! \left(x \right) = \frac{F_{746}\! \left(x \right)}{F_{31}\! \left(x \right)}<br />
  
    F_{746}\! \left(x \right) = F_{175}\! \left(x \right)<br />
  
    F_{747}\! \left(x \right) = F_{748}\! \left(x \right)+F_{759}\! \left(x \right)<br />
  
    F_{748}\! \left(x \right) = F_{242}\! \left(x \right)+F_{749}\! \left(x \right)<br />
  
    F_{749}\! \left(x \right) = F_{49}\! \left(x \right)+F_{750}\! \left(x \right)<br />
  
    F_{750}\! \left(x \right) = F_{28}\! \left(x \right)+F_{751}\! \left(x \right)<br />
  
    F_{751}\! \left(x \right) = F_{752}\! \left(x \right)<br />
  
    F_{752}\! \left(x \right) = F_{31}\! \left(x \right) F_{753}\! \left(x \right)<br />
  
    F_{753}\! \left(x \right) = F_{754}\! \left(x \right)+F_{755}\! \left(x \right)<br />
  
    F_{754}\! \left(x \right) = F_{16}\! \left(x \right) F_{2}\! \left(x \right)<br />
  
    F_{755}\! \left(x \right) = F_{756}\! \left(x \right)+F_{758}\! \left(x \right)<br />
  
    F_{756}\! \left(x \right) = F_{2}\! \left(x \right) F_{757}\! \left(x \right)<br />
  
    F_{757}\! \left(x \right) = F_{11}\! \left(x \right)+F_{69}\! \left(x \right)<br />
  
    F_{758}\! \left(x \right) = F_{16}\! \left(x \right) F_{6}\! \left(x \right)<br />
  
    F_{759}\! \left(x \right) = F_{382}\! \left(x \right)+F_{760}\! \left(x \right)<br />
  
    F_{760}\! \left(x \right) = F_{761}\! \left(x \right)+F_{762}\! \left(x \right)<br />
  
    F_{761}\! \left(x \right) = F_{162}\! \left(x \right)+F_{558}\! \left(x \right)<br />
  
    F_{762}\! \left(x \right) = F_{155}\! \left(x \right) F_{17}\! \left(x \right)<br />
  
    F_{763}\! \left(x \right) = F_{17}\! \left(x \right) F_{601}\! \left(x \right)<br />
  
    F_{764}\! \left(x \right) = F_{304}\! \left(x \right) F_{601}\! \left(x \right)<br />
  
    F_{765}\! \left(x \right) = F_{766}\! \left(x \right)<br />
  
    F_{766}\! \left(x \right) = F_{197}\! \left(x \right) F_{31}\! \left(x \right) F_{80}\! \left(x \right)<br />
  
    F_{767}\! \left(x \right) = F_{65}\! \left(x \right)+F_{768}\! \left(x \right)<br />
  
    F_{768}\! \left(x \right) = F_{215}\! \left(x \right)+F_{40}\! \left(x \right)<br />
  
    F_{769}\! \left(x \right) = F_{770}\! \left(x \right)<br />
  
    F_{770}\! \left(x \right) = F_{31}\! \left(x \right) F_{80}\! \left(x \right) F_{88}\! \left(x \right)<br />
  
    F_{771}\! \left(x \right) = F_{772}\! \left(x \right)+F_{773}\! \left(x \right)<br />
  
    F_{772}\! \left(x \right) = F_{43}\! \left(x \right)+F_{50}\! \left(x \right)<br />
  
    F_{773}\! \left(x \right) = F_{774}\! \left(x \right)+F_{783}\! \left(x \right)<br />
  
    F_{774}\! \left(x \right) = F_{155}\! \left(x \right)+F_{775}\! \left(x \right)<br />
  
    F_{775}\! \left(x \right) = F_{776}\! \left(x \right)<br />
  
    F_{776}\! \left(x \right) = F_{31}\! \left(x \right) F_{777}\! \left(x \right)<br />
  
    F_{777}\! \left(x \right) = F_{49}\! \left(x \right)+F_{778}\! \left(x \right)<br />
  
    F_{778}\! \left(x \right) = F_{762}\! \left(x \right)+F_{779}\! \left(x \right)<br />
  
    F_{779}\! \left(x \right) = F_{774}\! \left(x \right)+F_{780}\! \left(x \right)<br />
  
    F_{780}\! \left(x \right) = F_{162}\! \left(x \right)+F_{781}\! \left(x \right)<br />
  
    F_{781}\! \left(x \right) = F_{782}\! \left(x \right)<br />
  
    F_{782}\! \left(x \right) = F_{16}\! \left(x \right) F_{31}\! \left(x \right) F_{777}\! \left(x \right)<br />
  
    F_{783}\! \left(x \right) = F_{150}\! \left(x \right)+F_{784}\! \left(x \right)<br />
  
    F_{784}\! \left(x \right) = F_{785}\! \left(x \right)<br />
  
    F_{785}\! \left(x \right) = F_{31}\! \left(x \right) F_{786}\! \left(x \right)<br />
  
    F_{786}\! \left(x \right) = F_{787}\! \left(x \right)+F_{788}\! \left(x \right)<br />
  
    F_{787}\! \left(x \right) = F_{2}\! \left(x \right) F_{283}\! \left(x \right)<br />
  
    F_{788}\! \left(x \right) = F_{789}\! \left(x \right)+F_{792}\! \left(x \right)<br />
  
    F_{789}\! \left(x \right) = F_{790}\! \left(x \right)+F_{791}\! \left(x \right)<br />
  
    F_{790}\! \left(x \right) = F_{155}\! \left(x \right) F_{271}\! \left(x \right)<br />
  
    F_{791}\! \left(x \right) = F_{150}\! \left(x \right) F_{275}\! \left(x \right)<br />
  
    F_{792}\! \left(x \right) = F_{155}\! \left(x \right) F_{283}\! \left(x \right)<br />
  
  System of equations in sympy syntax:<br />
  
    Eq(F_0(x), F_1(x) + F_2(x))<br />
  
    Eq(F_1(x), 1)<br />
  
    Eq(F_2(x), F_3(x))<br />
  
    Eq(F_3(x), F_31(x)*F_4(x))<br />
  
    Eq(F_4(x), F_0(x) + F_5(x))<br />
  
    Eq(F_5(x), F_2(x) + F_6(x))<br />
  
    Eq(F_6(x), F_7(x))<br />
  
    Eq(F_7(x), F_31(x)*F_8(x))<br />
  
    Eq(F_8(x), F_32(x) + F_9(x))<br />
  
    Eq(F_9(x), F_10(x) + F_27(x))<br />
  
    Eq(F_10(x), F_11(x) + F_12(x))<br />
  
    Eq(F_11(x), (x - 3)*(F_11(x) + 1) + (F_11(x) + 1)**2 + F_11(x) + 2)<br />
  
    Eq(F_12(x), F_13(x))<br />
  
    Eq(F_13(x), F_14(x)*F_16(x)*F_31(x))<br />
  
    Eq(F_14(x), F_10(x) + F_15(x))<br />
  
    Eq(F_15(x), (x - 2)*F_15(x) + F_15(x)**2 + 2)<br />
  
    Eq(F_16(x), F_11(x) + F_17(x))<br />
  
    Eq(F_17(x), -F_15(x) + F_18(x))<br />
  
    Eq(F_18(x), F_19(x)/F_2(x))<br />
  
    Eq(F_19(x), F_20(x) - F_771(x))<br />
  
    Eq(F_20(x), F_21(x)/F_31(x))<br />
  
    Eq(F_21(x), F_22(x))<br />
  
    Eq(F_22(x), F_23(x))<br />
  
    Eq(F_23(x), F_24(x)*F_31(x))<br />
  
    Eq(F_24(x), F_25(x) + F_32(x))<br />
  
    Eq(F_25(x), F_26(x) + F_27(x))<br />
  
    Eq(F_26(x), F_2(x) + F_22(x))<br />
  
    Eq(F_27(x), F_28(x) + F_29(x))<br />
  
    Eq(F_28(x), F_11(x)*F_2(x))<br />
  
    Eq(F_29(x), F_30(x))<br />
  
    Eq(F_30(x), F_16(x)*F_24(x)*F_31(x))<br />
  
    Eq(F_31(x), x)<br />
  
    Eq(F_32(x), F_33(x) + F_338(x))<br />
  
    Eq(F_33(x), F_34(x) + F_36(x))<br />
  
    Eq(F_34(x), F_2(x)*F_35(x))<br />
  
    Eq(F_35(x), F_1(x) + F_31(x))<br />
  
    Eq(F_36(x), F_22(x) + F_37(x))<br />
  
    Eq(F_37(x), F_38(x))<br />
  
    Eq(F_38(x), F_31(x)*F_39(x))<br />
  
    Eq(F_39(x), F_40(x) + F_50(x))<br />
  
    Eq(F_40(x), F_41(x))<br />
  
    Eq(F_41(x), F_31(x)*F_42(x))<br />
  
    Eq(F_42(x), F_43(x) + F_44(x))<br />
  
    Eq(F_43(x), F_2(x) + F_40(x))<br />
  
    Eq(F_44(x), F_45(x) + F_49(x))<br />
  
    Eq(F_45(x), F_43(x) + F_46(x))<br />
  
    Eq(F_46(x), F_28(x) + F_47(x))<br />
  
    Eq(F_47(x), F_48(x))<br />
  
    Eq(F_48(x), F_16(x)*F_31(x)*F_42(x))<br />
  
    Eq(F_49(x), F_17(x)*F_2(x))<br />
  
    Eq(F_50(x), F_22(x) + F_51(x))<br />
  
    Eq(F_51(x), F_52(x))<br />
  
    Eq(F_52(x), F_31(x)*F_53(x))<br />
  
    Eq(F_53(x), F_50(x) + F_54(x))<br />
  
    Eq(F_54(x), F_55(x) + F_63(x))<br />
  
    Eq(F_55(x), F_49(x) + F_56(x))<br />
  
    Eq(F_56(x), F_57(x) + F_62(x))<br />
  
    Eq(F_57(x), F_50(x) + F_58(x))<br />
  
    Eq(F_58(x), F_59(x) + F_60(x))<br />
  
    Eq(F_59(x), F_11(x)*F_22(x))<br />
  
    Eq(F_60(x), F_61(x))<br />
  
    Eq(F_61(x), F_16(x)*F_31(x)*F_53(x))<br />
  
    Eq(F_62(x), F_17(x)*F_22(x))<br />
  
    Eq(F_63(x), F_2(x)*F_64(x))<br />
  
    Eq(F_64(x), F_287(x) + F_65(x))<br />
  
    Eq(F_65(x), F_66(x))<br />
  
    Eq(F_66(x), F_31(x)*F_67(x))<br />
  
    Eq(F_67(x), F_68(x) + F_74(x))<br />
  
    Eq(F_68(x), F_69(x) + F_70(x))<br />
  
    Eq(F_69(x), F_11(x) + F_65(x))<br />
  
    Eq(F_70(x), F_71(x) + F_72(x))<br />
  
    Eq(F_71(x), F_11(x)**2)<br />
  
    Eq(F_72(x), F_73(x))<br />
  
    Eq(F_73(x), F_16(x)*F_31(x)*F_67(x))<br />
  
    Eq(F_74(x), F_75(x) + F_82(x))<br />
  
    Eq(F_75(x), F_76(x) + F_77(x))<br />
  
    Eq(F_76(x), F_11(x)*F_35(x))<br />
  
    Eq(F_77(x), F_65(x) + F_78(x))<br />
  
    Eq(F_78(x), F_79(x))<br />
  
    Eq(F_79(x), F_31(x)*F_80(x))<br />
  
    Eq(F_80(x), F_64(x) + F_81(x))<br />
  
    Eq(F_81(x), -F_11(x) + F_17(x))<br />
  
    Eq(F_82(x), F_142(x) + F_83(x))<br />
  
    Eq(F_83(x), F_12(x) + F_84(x))<br />
  
    Eq(F_84(x), F_85(x))<br />
  
    Eq(F_85(x), F_31(x)*F_86(x)*F_89(x))<br />
  
    Eq(F_86(x), F_87(x))<br />
  
    Eq(F_87(x), F_31(x)*F_88(x))<br />
  
    Eq(F_88(x), F_10(x) + F_11(x))<br />
  
    Eq(F_89(x), F_101(x) + F_90(x))<br />
  
    Eq(F_90(x), F_1(x) + F_91(x))<br />
  
    Eq(F_91(x), F_92(x))<br />
  
    Eq(F_92(x), F_31(x)*F_93(x))<br />
  
    Eq(F_93(x), F_90(x) + F_94(x))<br />
  
    Eq(F_94(x), F_95(x) + F_98(x))<br />
  
    Eq(F_95(x), F_96(x))<br />
  
    Eq(F_96(x), F_31(x)*F_97(x))<br />
  
    Eq(F_97(x), F_1(x) + F_95(x))<br />
  
    Eq(F_98(x), F_99(x))<br />
  
    Eq(F_99(x), F_100(x)*F_31(x))<br />
  
    Eq(F_100(x), F_91(x) + F_98(x))<br />
  
    Eq(F_101(x), F_102(x) + F_11(x))<br />
  
    Eq(F_102(x), F_103(x))<br />
  
    Eq(F_103(x), F_104(x)*F_31(x))<br />
  
    Eq(F_104(x), F_105(x) + F_132(x))<br />
  
    Eq(F_105(x), F_106(x)*F_90(x))<br />
  
    Eq(F_106(x), F_107(x) + F_11(x))<br />
  
    Eq(F_107(x), F_108(x))<br />
  
    Eq(F_108(x), F_109(x)*F_31(x))<br />
  
    Eq(F_109(x), F_106(x) + F_110(x))<br />
  
    Eq(F_110(x), F_111(x) + F_112(x))<br />
  
    Eq(F_111(x), F_11(x)*F_97(x))<br />
  
    Eq(F_112(x), F_113(x) + F_81(x))<br />
  
    Eq(F_113(x), F_114(x))<br />
  
    Eq(F_114(x), F_115(x)*F_31(x))<br />
  
    Eq(F_115(x), F_116(x) + F_118(x))<br />
  
    Eq(F_116(x), F_117(x))<br />
  
    Eq(F_117(x), F_106(x)*F_11(x))<br />
  
    Eq(F_118(x), F_119(x) + F_120(x))<br />
  
    Eq(F_119(x), F_81(x)*F_97(x))<br />
  
    Eq(F_120(x), F_121(x) - F_131(x))<br />
  
    Eq(F_121(x), F_122(x) - F_129(x))<br />
  
    Eq(F_122(x), F_123(x) - F_125(x))<br />
  
    Eq(F_123(x), F_124(x)/F_31(x))<br />
  
    Eq(F_124(x), F_81(x))<br />
  
    Eq(F_125(x), F_126(x) + F_127(x))<br />
  
    Eq(F_126(x), F_106(x) + F_95(x))<br />
  
    Eq(F_127(x), F_112(x) + F_128(x))<br />
  
    Eq(F_128(x), F_11(x)*F_95(x))<br />
  
    Eq(F_129(x), F_130(x))<br />
  
    Eq(F_130(x), F_11(x)*F_126(x))<br />
  
    Eq(F_131(x), F_81(x)*F_95(x))<br />
  
    Eq(F_132(x), F_110(x) + F_133(x))<br />
  
    Eq(F_133(x), F_134(x) + F_135(x))<br />
  
    Eq(F_134(x), F_102(x)*F_97(x))<br />
  
    Eq(F_135(x), F_136(x) - F_141(x))<br />
  
    Eq(F_136(x), -F_127(x) + F_137(x))<br />
  
    Eq(F_137(x), F_138(x) - F_140(x))<br />
  
    Eq(F_138(x), F_139(x)/F_31(x))<br />
  
    Eq(F_139(x), F_81(x))<br />
  
    Eq(F_140(x), F_126(x)*F_90(x))<br />
  
    Eq(F_141(x), F_102(x)*F_95(x))<br />
  
    Eq(F_142(x), F_143(x) + F_769(x))<br />
  
    Eq(F_143(x), F_144(x))<br />
  
    Eq(F_144(x), F_14(x)*F_145(x)*F_31(x))<br />
  
    Eq(F_145(x), F_146(x)/F_2(x))<br />
  
    Eq(F_146(x), F_147(x) - F_767(x))<br />
  
    Eq(F_147(x), F_148(x) - F_469(x))<br />
  
    Eq(F_148(x), F_149(x)/F_31(x))<br />
  
    Eq(F_149(x), F_150(x))<br />
  
    Eq(F_150(x), F_151(x))<br />
  
    Eq(F_151(x), F_152(x)*F_31(x))<br />
  
    Eq(F_152(x), F_153(x) + F_165(x))<br />
  
    Eq(F_153(x), F_154(x) + F_161(x))<br />
  
    Eq(F_154(x), F_150(x) + F_155(x))<br />
  
    Eq(F_155(x), F_156(x))<br />
  
    Eq(F_156(x), F_157(x)*F_31(x))<br />
  
    Eq(F_157(x), F_158(x) + F_159(x))<br />
  
    Eq(F_158(x), F_10(x) + F_26(x))<br />
  
    Eq(F_159(x), F_160(x) + F_27(x))<br />
  
    Eq(F_160(x), F_2(x)*F_69(x))<br />
  
    Eq(F_161(x), F_162(x) + F_163(x))<br />
  
    Eq(F_162(x), F_11(x)*F_155(x))<br />
  
    Eq(F_163(x), F_164(x))<br />
  
    Eq(F_164(x), F_152(x)*F_16(x)*F_31(x))<br />
  
    Eq(F_165(x), F_166(x) + F_173(x))<br />
  
    Eq(F_166(x), F_167(x) + F_170(x))<br />
  
    Eq(F_167(x), F_155(x) + F_168(x))<br />
  
    Eq(F_168(x), F_169(x))<br />
  
    Eq(F_169(x), F_11(x)*F_2(x)*F_31(x))<br />
  
    Eq(F_170(x), F_150(x) + F_171(x))<br />
  
    Eq(F_171(x), F_172(x))<br />
  
    Eq(F_172(x), F_2(x)*F_78(x))<br />
  
    Eq(F_173(x), F_174(x) + F_199(x))<br />
  
    Eq(F_174(x), F_175(x) + F_195(x))<br />
  
    Eq(F_175(x), F_176(x))<br />
  
    Eq(F_176(x), F_177(x)*F_31(x))<br />
  
    Eq(F_177(x), F_178(x) + F_187(x))<br />
  
    Eq(F_178(x), F_159(x) + F_179(x))<br />
  
    Eq(F_179(x), F_12(x) + F_180(x))<br />
  
    Eq(F_180(x), F_181(x))<br />
  
    Eq(F_181(x), F_14(x)*F_182(x)*F_31(x))<br />
  
    Eq(F_182(x), F_12(x) + F_183(x))<br />
  
    Eq(F_183(x), F_184(x) - F_186(x))<br />
  
    Eq(F_184(x), F_185(x)/F_31(x))<br />
  
    Eq(F_185(x), F_12(x))<br />
  
    Eq(F_186(x), F_10(x) + F_17(x))<br />
  
    Eq(F_187(x), F_188(x) + F_192(x))<br />
  
    Eq(F_188(x), F_189(x) + F_190(x))<br />
  
    Eq(F_189(x), F_12(x)*F_2(x))<br />
  
    Eq(F_190(x), F_191(x))<br />
  
    Eq(F_191(x), F_182(x)*F_24(x)*F_31(x))<br />
  
    Eq(F_192(x), F_193(x)*F_2(x))<br />
  
    Eq(F_193(x), F_194(x) + F_70(x))<br />
  
    Eq(F_194(x), F_11(x)*F_69(x))<br />
  
    Eq(F_195(x), F_196(x))<br />
  
    Eq(F_196(x), F_11(x)*F_197(x)*F_31(x))<br />
  
    Eq(F_197(x), F_155(x) + F_198(x))<br />
  
    Eq(F_198(x), F_155(x) + F_175(x))<br />
  
    Eq(F_199(x), F_200(x) + F_765(x))<br />
  
    Eq(F_200(x), F_201(x))<br />
  
    Eq(F_201(x), F_202(x)*F_31(x))<br />
  
    Eq(F_202(x), F_203(x) + F_595(x))<br />
  
    Eq(F_203(x), F_204(x) + F_473(x))<br />
  
    Eq(F_204(x), F_205(x) + F_464(x))<br />
  
    Eq(F_205(x), F_206(x))<br />
  
    Eq(F_206(x), F_207(x)*F_31(x))<br />
  
    Eq(F_207(x), F_208(x) + F_65(x))<br />
  
    Eq(F_208(x), F_209(x) + F_81(x))<br />
  
    Eq(F_209(x), F_210(x) - F_65(x))<br />
  
    Eq(F_210(x), F_211(x)/F_2(x))<br />
  
    Eq(F_211(x), F_212(x) - F_435(x))<br />
  
    Eq(F_212(x), F_213(x) - F_216(x))<br />
  
    Eq(F_213(x), F_214(x)/F_31(x))<br />
  
    Eq(F_214(x), F_215(x))<br />
  
    Eq(F_215(x), F_216(x) - F_22(x))<br />
  
    Eq(F_216(x), F_217(x) - F_40(x))<br />
  
    Eq(F_217(x), F_218(x)/F_31(x))<br />
  
    Eq(F_218(x), F_219(x))<br />
  
    Eq(F_219(x), F_220(x) - F_399(x))<br />
  
    Eq(F_220(x), F_221(x) - F_428(x))<br />
  
    Eq(F_221(x), F_222(x) - F_425(x))<br />
  
    Eq(F_222(x), F_223(x)/F_31(x))<br />
  
    Eq(F_223(x), F_224(x))<br />
  
    Eq(F_224(x), F_225(x))<br />
  
    Eq(F_225(x), F_226(x)*F_31(x))<br />
  
    Eq(F_226(x), F_227(x) + F_229(x))<br />
  
    Eq(F_227(x), F_228(x) + F_26(x))<br />
  
    Eq(F_228(x), F_11(x)*F_15(x))<br />
  
    Eq(F_229(x), F_230(x) - F_359(x))<br />
  
    Eq(F_230(x), F_231(x) - F_353(x))<br />
  
    Eq(F_231(x), F_232(x) - F_352(x))<br />
  
    Eq(F_232(x), F_233(x)/F_31(x))<br />
  
    Eq(F_233(x), F_234(x))<br />
  
    Eq(F_234(x), F_235(x))<br />
  
    Eq(F_235(x), F_236(x)*F_31(x))<br />
  
    Eq(F_236(x), F_237(x) + F_318(x))<br />
  
    Eq(F_237(x), F_238(x))<br />
  
    Eq(F_238(x), F_239(x) + F_312(x))<br />
  
    Eq(F_239(x), F_240(x))<br />
  
    Eq(F_240(x), F_2(x)*F_241(x))<br />
  
    Eq(F_241(x), F_242(x) + F_31(x))<br />
  
    Eq(F_242(x), F_243(x))<br />
  
    Eq(F_243(x), F_244(x)*F_31(x))<br />
  
    Eq(F_244(x), F_245(x) + F_247(x))<br />
  
    Eq(F_245(x), F_241(x) + F_246(x))<br />
  
    Eq(F_246(x), F_15(x)*F_31(x))<br />
  
    Eq(F_247(x), F_248(x) + F_307(x))<br />
  
    Eq(F_248(x), F_249(x) + F_250(x))<br />
  
    Eq(F_249(x), F_11(x)*F_31(x))<br />
  
    Eq(F_250(x), F_251(x))<br />
  
    Eq(F_251(x), F_252(x)*F_31(x))<br />
  
    Eq(F_252(x), F_253(x) + F_306(x))<br />
  
    Eq(F_253(x), F_254(x) + F_256(x))<br />
  
    Eq(F_254(x), F_255(x))<br />
  
    Eq(F_255(x), F_11(x)*F_245(x))<br />
  
    Eq(F_256(x), F_257(x) + F_265(x))<br />
  
    Eq(F_257(x), F_258(x) + F_259(x))<br />
  
    Eq(F_258(x), F_31(x)*F_81(x))<br />
  
    Eq(F_259(x), F_260(x))<br />
  
    Eq(F_260(x), F_261(x)*F_31(x))<br />
  
    Eq(F_261(x), F_262(x) + F_263(x))<br />
  
    Eq(F_262(x), F_11(x)*F_253(x))<br />
  
    Eq(F_263(x), F_264(x)*F_81(x))<br />
  
    Eq(F_264(x), F_244(x) + F_253(x))<br />
  
    Eq(F_265(x), F_250(x) + F_266(x))<br />
  
    Eq(F_266(x), F_267(x))<br />
  
    Eq(F_267(x), F_268(x)*F_31(x))<br />
  
    Eq(F_268(x), F_269(x) + F_278(x))<br />
  
    Eq(F_269(x), F_270(x) - F_81(x))<br />
  
    Eq(F_270(x), F_271(x) - F_276(x))<br />
  
    Eq(F_271(x), F_272(x) - F_274(x))<br />
  
    Eq(F_272(x), F_273(x)/F_31(x))<br />
  
    Eq(F_273(x), F_81(x))<br />
  
    Eq(F_274(x), F_11(x)*F_275(x))<br />
  
    Eq(F_275(x), F_18(x) + F_271(x))<br />
  
    Eq(F_276(x), F_277(x))<br />
  
    Eq(F_277(x), F_11(x)*F_15(x))<br />
  
    Eq(F_278(x), F_269(x) + F_279(x))<br />
  
    Eq(F_279(x), F_280(x))<br />
  
    Eq(F_280(x), F_281(x)*F_31(x))<br />
  
    Eq(F_281(x), F_282(x) + F_299(x))<br />
  
    Eq(F_282(x), F_11(x)*F_283(x))<br />
  
    Eq(F_283(x), F_284(x) + F_286(x))<br />
  
    Eq(F_284(x), F_285(x))<br />
  
    Eq(F_285(x), F_15(x)*F_65(x))<br />
  
    Eq(F_286(x), F_287(x) + F_294(x))<br />
  
    Eq(F_287(x), F_288(x))<br />
  
    Eq(F_288(x), F_289(x)*F_31(x))<br />
  
    Eq(F_289(x), F_283(x) + F_290(x))<br />
  
    Eq(F_290(x), F_282(x) + F_291(x))<br />
  
    Eq(F_291(x), F_292(x) + F_293(x))<br />
  
    Eq(F_292(x), F_11(x)*F_271(x))<br />
  
    Eq(F_293(x), F_275(x)*F_65(x))<br />
  
    Eq(F_294(x), F_295(x))<br />
  
    Eq(F_295(x), F_296(x)*F_31(x))<br />
  
    Eq(F_296(x), F_297(x) + F_298(x))<br />
  
    Eq(F_297(x), F_271(x)*F_65(x))<br />
  
    Eq(F_298(x), F_275(x)*F_287(x))<br />
  
    Eq(F_299(x), F_300(x) + F_305(x))<br />
  
    Eq(F_300(x), F_301(x) + F_302(x))<br />
  
    Eq(F_301(x), F_271(x)*F_81(x))<br />
  
    Eq(F_302(x), F_275(x)*F_303(x))<br />
  
    Eq(F_303(x), F_304(x) - F_81(x))<br />
  
    Eq(F_304(x), F_145(x) - F_65(x))<br />
  
    Eq(F_305(x), F_283(x)*F_81(x))<br />
  
    Eq(F_306(x), F_11(x)*F_264(x))<br />
  
    Eq(F_307(x), F_242(x) + F_308(x))<br />
  
    Eq(F_308(x), F_309(x))<br />
  
    Eq(F_309(x), F_31(x)*F_310(x))<br />
  
    Eq(F_310(x), F_311(x) + F_81(x))<br />
  
    Eq(F_311(x), F_287(x) + F_81(x))<br />
  
    Eq(F_312(x), F_313(x) + F_315(x))<br />
  
    Eq(F_313(x), F_314(x) + F_6(x))<br />
  
    Eq(F_314(x), F_155(x)*F_31(x))<br />
  
    Eq(F_315(x), F_316(x) + F_317(x))<br />
  
    Eq(F_316(x), F_11(x)*F_6(x))<br />
  
    Eq(F_317(x), F_155(x)*F_242(x))<br />
  
    Eq(F_318(x), F_319(x))<br />
  
    Eq(F_319(x), F_320(x) + F_322(x))<br />
  
    Eq(F_320(x), F_321(x))<br />
  
    Eq(F_321(x), F_2(x)*F_248(x))<br />
  
    Eq(F_322(x), F_323(x) + F_326(x))<br />
  
    Eq(F_323(x), F_234(x) + F_324(x))<br />
  
    Eq(F_324(x), F_325(x))<br />
  
    Eq(F_325(x), F_11(x)*F_155(x)*F_31(x))<br />
  
    Eq(F_326(x), F_327(x) + F_350(x))<br />
  
    Eq(F_327(x), F_328(x))<br />
  
    Eq(F_328(x), F_329(x))<br />
  
    Eq(F_329(x), F_31(x)*F_330(x))<br />
  
    Eq(F_330(x), F_331(x) + F_332(x))<br />
  
    Eq(F_331(x), F_81(x)*F_9(x))<br />
  
    Eq(F_332(x), F_333(x) + F_336(x))<br />
  
    Eq(F_333(x), F_334(x) + F_335(x))<br />
  
    Eq(F_334(x), F_33(x)*F_81(x))<br />
  
    Eq(F_335(x), F_2(x)*F_311(x))<br />
  
    Eq(F_336(x), F_337(x) + F_349(x))<br />
  
    Eq(F_337(x), F_338(x)*F_81(x))<br />
  
    Eq(F_338(x), F_339(x) + F_346(x))<br />
  
    Eq(F_339(x), F_155(x) + F_340(x))<br />
  
    Eq(F_340(x), F_341(x))<br />
  
    Eq(F_341(x), F_31(x)*F_342(x)*F_89(x))<br />
  
    Eq(F_342(x), F_343(x))<br />
  
    Eq(F_343(x), F_31(x)*F_344(x))<br />
  
    Eq(F_344(x), F_2(x) + F_345(x))<br />
  
    Eq(F_345(x), F_155(x) + F_2(x))<br />
  
    Eq(F_346(x), F_150(x) + F_347(x))<br />
  
    Eq(F_347(x), F_348(x))<br />
  
    Eq(F_348(x), F_31(x)*F_344(x)*F_80(x))<br />
  
    Eq(F_349(x), F_155(x)*F_311(x))<br />
  
    Eq(F_350(x), F_351(x))<br />
  
    Eq(F_351(x), F_155(x)*F_250(x))<br />
  
    Eq(F_352(x), F_11(x)**2*F_4(x))<br />
  
    Eq(F_353(x), F_354(x) + F_357(x))<br />
  
    Eq(F_354(x), F_355(x) + F_356(x))<br />
  
    Eq(F_355(x), F_11(x)*F_154(x))<br />
  
    Eq(F_356(x), F_155(x)*F_69(x))<br />
  
    Eq(F_357(x), F_11(x)*F_358(x))<br />
  
    Eq(F_358(x), F_234(x) + F_328(x))<br />
  
    Eq(F_359(x), F_11(x)*F_360(x))<br />
  
    Eq(F_360(x), F_224(x) + F_361(x))<br />
  
    Eq(F_361(x), F_362(x))<br />
  
    Eq(F_362(x), F_31(x)*F_363(x))<br />
  
    Eq(F_363(x), F_364(x) + F_369(x))<br />
  
    Eq(F_364(x), F_360(x) + F_365(x))<br />
  
    Eq(F_365(x), F_366(x) + F_367(x))<br />
  
    Eq(F_366(x), F_11(x)*F_224(x))<br />
  
    Eq(F_367(x), F_368(x))<br />
  
    Eq(F_368(x), F_16(x)*F_31(x)*F_363(x))<br />
  
    Eq(F_369(x), F_370(x) + F_373(x))<br />
  
    Eq(F_370(x), F_371(x) + F_372(x))<br />
  
    Eq(F_371(x), F_224(x))<br />
  
    Eq(F_372(x), F_361(x))<br />
  
    Eq(F_373(x), F_374(x) + F_409(x))<br />
  
    Eq(F_374(x), F_375(x))<br />
  
    Eq(F_375(x), F_31(x)*F_376(x))<br />
  
    Eq(F_376(x), F_377(x) + F_386(x))<br />
  
    Eq(F_377(x), F_378(x) + F_381(x))<br />
  
    Eq(F_378(x), F_242(x) + F_379(x))<br />
  
    Eq(F_379(x), F_2(x)*F_380(x))<br />
  
    Eq(F_380(x), F_11(x) + F_242(x))<br />
  
    Eq(F_381(x), F_382(x) + F_383(x))<br />
  
    Eq(F_382(x), F_2(x)*F_242(x))<br />
  
    Eq(F_383(x), F_366(x) + F_384(x))<br />
  
    Eq(F_384(x), F_385(x))<br />
  
    Eq(F_385(x), F_11(x)*F_2(x)*F_242(x))<br />
  
    Eq(F_386(x), F_381(x) + F_387(x))<br />
  
    Eq(F_387(x), F_388(x) + F_389(x))<br />
  
    Eq(F_388(x), F_242(x)*F_6(x))<br />
  
    Eq(F_389(x), F_390(x) + F_407(x))<br />
  
    Eq(F_390(x), F_11(x)*F_391(x))<br />
  
    Eq(F_391(x), F_392(x))<br />
  
    Eq(F_392(x), F_31(x)*F_393(x))<br />
  
    Eq(F_393(x), F_394(x) + F_400(x))<br />
  
    Eq(F_394(x), F_189(x) + F_395(x))<br />
  
    Eq(F_395(x), F_396(x) + F_397(x))<br />
  
    Eq(F_396(x), F_12(x) + F_27(x))<br />
  
    Eq(F_397(x), F_338(x) + F_398(x))<br />
  
    Eq(F_398(x), F_37(x) + F_399(x))<br />
  
    Eq(F_399(x), F_2(x)*F_31(x))<br />
  
    Eq(F_400(x), F_401(x) + F_406(x))<br />
  
    Eq(F_401(x), F_2(x)*F_402(x))<br />
  
    Eq(F_402(x), F_403(x) + F_404(x))<br />
  
    Eq(F_403(x), F_12(x) + F_70(x))<br />
  
    Eq(F_404(x), F_405(x) + F_82(x))<br />
  
    Eq(F_405(x), F_249(x) + F_78(x))<br />
  
    Eq(F_406(x), F_12(x)*F_6(x))<br />
  
    Eq(F_407(x), F_408(x))<br />
  
    Eq(F_408(x), F_12(x)*F_2(x)*F_242(x))<br />
  
    Eq(F_409(x), F_410(x))<br />
  
    Eq(F_410(x), F_31(x)*F_411(x))<br />
  
    Eq(F_411(x), F_412(x) + F_418(x))<br />
  
    Eq(F_412(x), F_413(x) + F_417(x))<br />
  
    Eq(F_413(x), F_414(x) + F_415(x))<br />
  
    Eq(F_414(x), F_11(x)*F_81(x))<br />
  
    Eq(F_415(x), F_335(x) + F_416(x))<br />
  
    Eq(F_416(x), F_26(x)*F_81(x))<br />
  
    Eq(F_417(x), F_11(x)*F_2(x)*F_81(x))<br />
  
    Eq(F_418(x), F_419(x) + F_424(x))<br />
  
    Eq(F_419(x), F_2(x)*F_420(x))<br />
  
    Eq(F_420(x), F_414(x) + F_421(x))<br />
  
    Eq(F_421(x), F_422(x) + F_423(x))<br />
  
    Eq(F_422(x), F_69(x)*F_81(x))<br />
  
    Eq(F_423(x), F_11(x)*F_311(x))<br />
  
    Eq(F_424(x), F_11(x)*F_6(x)*F_81(x))<br />
  
    Eq(F_425(x), F_241(x) + F_426(x))<br />
  
    Eq(F_426(x), F_2(x)*F_427(x))<br />
  
    Eq(F_427(x), F_35(x) + F_380(x))<br />
  
    Eq(F_428(x), F_429(x) + F_432(x))<br />
  
    Eq(F_429(x), F_224(x) + F_430(x))<br />
  
    Eq(F_430(x), F_431(x))<br />
  
    Eq(F_431(x), F_11(x)*F_2(x)*F_31(x))<br />
  
    Eq(F_432(x), F_361(x) + F_433(x))<br />
  
    Eq(F_433(x), F_434(x))<br />
  
    Eq(F_434(x), F_2(x)*F_250(x))<br />
  
    Eq(F_435(x), F_436(x) + F_440(x))<br />
  
    Eq(F_436(x), F_216(x) + F_437(x))<br />
  
    Eq(F_437(x), F_438(x) + F_59(x))<br />
  
    Eq(F_438(x), F_439(x))<br />
  
    Eq(F_439(x), F_16(x)*F_213(x)*F_31(x))<br />
  
    Eq(F_440(x), F_441(x) + F_452(x))<br />
  
    Eq(F_441(x), F_442(x) + F_448(x))<br />
  
    Eq(F_442(x), F_11(x)*F_443(x))<br />
  
    Eq(F_443(x), F_2(x) + F_444(x))<br />
  
    Eq(F_444(x), F_445(x))<br />
  
    Eq(F_445(x), F_31(x)*F_446(x))<br />
  
    Eq(F_446(x), F_2(x) + F_447(x))<br />
  
    Eq(F_447(x), F_15(x)*F_2(x))<br />
  
    Eq(F_448(x), F_449(x) + F_450(x))<br />
  
    Eq(F_449(x), F_2(x)*F_65(x))<br />
  
    Eq(F_450(x), F_451(x))<br />
  
    Eq(F_451(x), F_31(x)*F_446(x)*F_80(x))<br />
  
    Eq(F_452(x), F_453(x) + F_459(x))<br />
  
    Eq(F_453(x), F_29(x) + F_454(x))<br />
  
    Eq(F_454(x), F_455(x))<br />
  
    Eq(F_455(x), F_11(x)*F_31(x)*F_456(x))<br />
  
    Eq(F_456(x), F_22(x) + F_457(x))<br />
  
    Eq(F_457(x), F_449(x) + F_458(x))<br />
  
    Eq(F_458(x), F_22(x) + F_27(x))<br />
  
    Eq(F_459(x), F_460(x) + F_462(x))<br />
  
    Eq(F_460(x), F_461(x))<br />
  
    Eq(F_461(x), F_145(x)*F_24(x)*F_31(x))<br />
  
    Eq(F_462(x), F_463(x))<br />
  
    Eq(F_463(x), F_31(x)*F_456(x)*F_80(x))<br />
  
    Eq(F_464(x), F_465(x) + F_472(x))<br />
  
    Eq(F_465(x), F_449(x) + F_466(x))<br />
  
    Eq(F_466(x), F_467(x))<br />
  
    Eq(F_467(x), F_31(x)*F_468(x))<br />
  
    Eq(F_468(x), F_146(x) + F_469(x))<br />
  
    Eq(F_469(x), F_470(x) + F_471(x))<br />
  
    Eq(F_470(x), F_2(x)*F_207(x))<br />
  
    Eq(F_471(x), F_145(x)*F_6(x))<br />
  
    Eq(F_472(x), F_2(x)*F_304(x))<br />
  
    Eq(F_473(x), F_474(x) + F_475(x))<br />
  
    Eq(F_474(x), F_2(x)*F_205(x))<br />
  
    Eq(F_475(x), F_476(x) + F_594(x))<br />
  
    Eq(F_476(x), F_477(x) + F_478(x))<br />
  
    Eq(F_477(x), F_155(x)*F_65(x))<br />
  
    Eq(F_478(x), F_479(x) - F_558(x))<br />
  
    Eq(F_479(x), F_480(x))<br />
  
    Eq(F_480(x), F_481(x) - F_557(x))<br />
  
    Eq(F_481(x), F_482(x) - F_548(x))<br />
  
    Eq(F_482(x), F_483(x) - F_544(x))<br />
  
    Eq(F_483(x), F_484(x) - F_540(x))<br />
  
    Eq(F_484(x), F_485(x)/F_31(x))<br />
  
    Eq(F_485(x), F_486(x))<br />
  
    Eq(F_486(x), F_487(x))<br />
  
    Eq(F_487(x), F_31(x)*F_488(x))<br />
  
    Eq(F_488(x), F_489(x) + F_502(x))<br />
  
    Eq(F_489(x), F_490(x) + F_493(x))<br />
  
    Eq(F_490(x), F_383(x) + F_491(x))<br />
  
    Eq(F_491(x), F_492(x))<br />
  
    Eq(F_492(x), F_11(x)**2*F_2(x)*F_31(x))<br />
  
    Eq(F_493(x), F_494(x) + F_500(x))<br />
  
    Eq(F_494(x), F_495(x) + F_496(x))<br />
  
    Eq(F_495(x), F_11(x)*F_429(x))<br />
  
    Eq(F_496(x), F_497(x) + F_498(x))<br />
  
    Eq(F_497(x), F_224(x)*F_81(x))<br />
  
    Eq(F_498(x), F_499(x))<br />
  
    Eq(F_499(x), F_11(x)*F_2(x)*F_250(x))<br />
  
    Eq(F_500(x), F_501(x))<br />
  
    Eq(F_501(x), F_11(x)*F_2(x)*F_307(x))<br />
  
    Eq(F_502(x), F_503(x) + F_520(x))<br />
  
    Eq(F_503(x), F_504(x) + F_506(x))<br />
  
    Eq(F_504(x), F_491(x) + F_505(x))<br />
  
    Eq(F_505(x), F_162(x) + F_384(x))<br />
  
    Eq(F_506(x), F_507(x) + F_516(x))<br />
  
    Eq(F_507(x), F_508(x) + F_510(x))<br />
  
    Eq(F_508(x), F_11(x)*F_509(x))<br />
  
    Eq(F_509(x), F_155(x) + F_430(x))<br />
  
    Eq(F_510(x), F_477(x) + F_511(x))<br />
  
    Eq(F_511(x), F_512(x))<br />
  
    Eq(F_512(x), F_11(x)*F_2(x)*F_513(x))<br />
  
    Eq(F_513(x), F_514(x))<br />
  
    Eq(F_514(x), F_31(x)*F_515(x))<br />
  
    Eq(F_515(x), F_210(x) + F_81(x))<br />
  
    Eq(F_516(x), F_517(x))<br />
  
    Eq(F_517(x), F_11(x)*F_2(x)*F_518(x))<br />
  
    Eq(F_518(x), F_242(x) + F_519(x))<br />
  
    Eq(F_519(x), F_309(x))<br />
  
    Eq(F_520(x), F_521(x) + F_528(x))<br />
  
    Eq(F_521(x), F_522(x) + F_526(x))<br />
  
    Eq(F_522(x), F_523(x) + F_524(x))<br />
  
    Eq(F_523(x), F_11(x)*F_234(x))<br />
  
    Eq(F_524(x), F_525(x))<br />
  
    Eq(F_525(x), F_11(x)*F_242(x)*F_6(x))<br />
  
    Eq(F_526(x), F_527(x))<br />
  
    Eq(F_527(x), F_11(x)**2*F_155(x)*F_31(x))<br />
  
    Eq(F_528(x), F_529(x) + F_538(x))<br />
  
    Eq(F_529(x), F_530(x) + F_534(x))<br />
  
    Eq(F_530(x), F_11(x)*F_531(x))<br />
  
    Eq(F_531(x), F_234(x) + F_532(x))<br />
  
    Eq(F_532(x), F_533(x))<br />
  
    Eq(F_533(x), F_11(x)*F_31(x)*F_6(x))<br />
  
    Eq(F_534(x), F_535(x) + F_536(x))<br />
  
    Eq(F_535(x), F_234(x)*F_81(x))<br />
  
    Eq(F_536(x), F_537(x))<br />
  
    Eq(F_537(x), F_11(x)*F_250(x)*F_6(x))<br />
  
    Eq(F_538(x), F_539(x))<br />
  
    Eq(F_539(x), F_11(x)*F_155(x)*F_307(x))<br />
  
    Eq(F_540(x), F_541(x) + F_542(x))<br />
  
    Eq(F_541(x), F_11(x)*F_429(x))<br />
  
    Eq(F_542(x), F_500(x) + F_543(x))<br />
  
    Eq(F_543(x), F_17(x)*F_224(x))<br />
  
    Eq(F_544(x), F_545(x) + F_546(x))<br />
  
    Eq(F_545(x), F_11(x)*F_323(x))<br />
  
    Eq(F_546(x), F_538(x) + F_547(x))<br />
  
    Eq(F_547(x), F_17(x)*F_234(x))<br />
  
    Eq(F_548(x), F_549(x))<br />
  
    Eq(F_549(x), F_11(x)*F_550(x))<br />
  
    Eq(F_550(x), F_430(x) + F_551(x))<br />
  
    Eq(F_551(x), F_155(x) + F_552(x))<br />
  
    Eq(F_552(x), F_553(x))<br />
  
    Eq(F_553(x), F_31(x)*F_554(x)*F_89(x))<br />
  
    Eq(F_554(x), F_555(x))<br />
  
    Eq(F_555(x), F_31(x)*F_556(x))<br />
  
    Eq(F_556(x), F_2(x) + F_5(x))<br />
  
    Eq(F_557(x), F_356(x) + F_516(x))<br />
  
    Eq(F_558(x), F_559(x))<br />
  
    Eq(F_559(x), -F_384(x) + F_560(x))<br />
  
    Eq(F_560(x), F_561(x) - F_592(x))<br />
  
    Eq(F_561(x), -F_384(x) + F_562(x))<br />
  
    Eq(F_562(x), F_563(x)/F_31(x))<br />
  
    Eq(F_563(x), F_564(x))<br />
  
    Eq(F_564(x), F_31(x)*F_565(x))<br />
  
    Eq(F_565(x), F_566(x))<br />
  
    Eq(F_566(x), F_567(x) + F_587(x))<br />
  
    Eq(F_567(x), F_568(x) + F_585(x))<br />
  
    Eq(F_568(x), F_569(x))<br />
  
    Eq(F_569(x), F_570(x))<br />
  
    Eq(F_570(x), F_31(x)*F_571(x))<br />
  
    Eq(F_571(x), F_572(x) + F_573(x))<br />
  
    Eq(F_572(x), F_16(x)*F_2(x)*F_31(x))<br />
  
    Eq(F_573(x), F_574(x) + F_584(x))<br />
  
    Eq(F_574(x), F_575(x) + F_578(x))<br />
  
    Eq(F_575(x), F_576(x))<br />
  
    Eq(F_576(x), F_11(x)*F_577(x))<br />
  
    Eq(F_577(x), F_342(x) + F_399(x))<br />
  
    Eq(F_578(x), F_579(x))<br />
  
    Eq(F_579(x), F_580(x) + F_582(x))<br />
  
    Eq(F_580(x), F_11(x)*F_581(x))<br />
  
    Eq(F_581(x), F_577(x))<br />
  
    Eq(F_582(x), F_583(x))<br />
  
    Eq(F_583(x), F_577(x)*F_65(x))<br />
  
    Eq(F_584(x), F_16(x)*F_31(x)*F_6(x))<br />
  
    Eq(F_585(x), F_586(x))<br />
  
    Eq(F_586(x), F_569(x)*F_91(x))<br />
  
    Eq(F_587(x), F_588(x) + F_590(x))<br />
  
    Eq(F_588(x), F_589(x))<br />
  
    Eq(F_589(x), F_11(x)*F_569(x))<br />
  
    Eq(F_590(x), F_591(x))<br />
  
    Eq(F_591(x), F_102(x)*F_569(x))<br />
  
    Eq(F_592(x), F_593(x))<br />
  
    Eq(F_593(x), F_11(x)*F_155(x)*F_242(x))<br />
  
    Eq(F_594(x), F_155(x)*F_304(x))<br />
  
    Eq(F_595(x), F_473(x) + F_596(x))<br />
  
    Eq(F_596(x), F_597(x) + F_598(x))<br />
  
    Eq(F_597(x), F_205(x)*F_6(x))<br />
  
    Eq(F_598(x), F_599(x) + F_764(x))<br />
  
    Eq(F_599(x), F_600(x) + F_610(x))<br />
  
    Eq(F_600(x), F_601(x)*F_65(x))<br />
  
    Eq(F_601(x), F_602(x))<br />
  
    Eq(F_602(x), F_31(x)*F_603(x))<br />
  
    Eq(F_603(x), F_604(x) + F_606(x))<br />
  
    Eq(F_604(x), F_397(x) + F_605(x))<br />
  
    Eq(F_605(x), F_179(x) + F_27(x))<br />
  
    Eq(F_606(x), F_607(x) + F_609(x))<br />
  
    Eq(F_607(x), F_188(x) + F_608(x))<br />
  
    Eq(F_608(x), F_2(x)*F_70(x))<br />
  
    Eq(F_609(x), F_2(x)*F_404(x))<br />
  
    Eq(F_610(x), F_611(x) - F_740(x))<br />
  
    Eq(F_611(x), F_612(x))<br />
  
    Eq(F_612(x), F_613(x) - F_712(x))<br />
  
    Eq(F_613(x), F_614(x) - F_705(x))<br />
  
    Eq(F_614(x), F_615(x) - F_691(x))<br />
  
    Eq(F_615(x), F_616(x) - F_690(x))<br />
  
    Eq(F_616(x), F_617(x)/F_31(x))<br />
  
    Eq(F_617(x), F_618(x))<br />
  
    Eq(F_618(x), F_619(x) - F_673(x))<br />
  
    Eq(F_619(x), F_620(x) - F_689(x))<br />
  
    Eq(F_620(x), F_621(x) - F_662(x))<br />
  
    Eq(F_621(x), F_622(x) - F_624(x))<br />
  
    Eq(F_622(x), F_623(x)/F_31(x))<br />
  
    Eq(F_623(x), F_486(x))<br />
  
    Eq(F_624(x), F_625(x) + F_662(x))<br />
  
    Eq(F_625(x), F_626(x) + F_631(x))<br />
  
    Eq(F_626(x), F_627(x))<br />
  
    Eq(F_627(x), F_31(x)*F_628(x))<br />
  
    Eq(F_628(x), F_242(x) + F_629(x))<br />
  
    Eq(F_629(x), F_630(x))<br />
  
    Eq(F_630(x), F_16(x)*F_31(x))<br />
  
    Eq(F_631(x), F_632(x) + F_656(x))<br />
  
    Eq(F_632(x), F_633(x))<br />
  
    Eq(F_633(x), F_31(x)*F_634(x))<br />
  
    Eq(F_634(x), F_635(x) + F_639(x))<br />
  
    Eq(F_635(x), F_2(x)*F_636(x))<br />
  
    Eq(F_636(x), F_380(x) + F_637(x))<br />
  
    Eq(F_637(x), F_638(x) + F_76(x))<br />
  
    Eq(F_638(x), F_250(x) + F_81(x))<br />
  
    Eq(F_639(x), F_640(x) + F_655(x))<br />
  
    Eq(F_640(x), F_641(x) + F_645(x))<br />
  
    Eq(F_641(x), F_379(x) + F_642(x))<br />
  
    Eq(F_642(x), F_643(x))<br />
  
    Eq(F_643(x), F_644(x))<br />
  
    Eq(F_644(x), F_16(x)*F_31(x)*F_344(x))<br />
  
    Eq(F_645(x), F_646(x) + F_650(x))<br />
  
    Eq(F_646(x), F_647(x))<br />
  
    Eq(F_647(x), F_11(x)*F_648(x))<br />
  
    Eq(F_648(x), F_399(x) + F_649(x))<br />
  
    Eq(F_649(x), F_2(x) + F_342(x))<br />
  
    Eq(F_650(x), F_651(x) + F_653(x))<br />
  
    Eq(F_651(x), F_2(x)*F_652(x))<br />
  
    Eq(F_652(x), F_513(x) + F_65(x))<br />
  
    Eq(F_653(x), F_654(x))<br />
  
    Eq(F_654(x), F_347(x))<br />
  
    Eq(F_655(x), F_6(x)*F_636(x))<br />
  
    Eq(F_656(x), F_657(x))<br />
  
    Eq(F_657(x), F_31(x)*F_658(x))<br />
  
    Eq(F_658(x), F_382(x) + F_659(x))<br />
  
    Eq(F_659(x), F_388(x) + F_660(x))<br />
  
    Eq(F_660(x), F_661(x))<br />
  
    Eq(F_661(x), F_382(x) + F_642(x))<br />
  
    Eq(F_662(x), F_663(x) + F_664(x))<br />
  
    Eq(F_663(x), F_2(x)*F_626(x))<br />
  
    Eq(F_664(x), F_486(x) + F_665(x))<br />
  
    Eq(F_665(x), F_666(x))<br />
  
    Eq(F_666(x), F_31(x)*F_667(x))<br />
  
    Eq(F_667(x), F_668(x) + F_671(x))<br />
  
    Eq(F_668(x), F_669(x) + F_670(x))<br />
  
    Eq(F_669(x), F_656(x))<br />
  
    Eq(F_670(x), F_665(x))<br />
  
    Eq(F_671(x), F_670(x) + F_672(x))<br />
  
    Eq(F_672(x), F_673(x))<br />
  
    Eq(F_673(x), F_674(x))<br />
  
    Eq(F_674(x), F_31(x)*F_675(x))<br />
  
    Eq(F_675(x), F_407(x) + F_676(x))<br />
  
    Eq(F_676(x), F_677(x) + F_687(x))<br />
  
    Eq(F_677(x), F_678(x))<br />
  
    Eq(F_678(x), F_407(x) + F_679(x))<br />
  
    Eq(F_679(x), F_680(x))<br />
  
    Eq(F_680(x), F_681(x) - F_684(x))<br />
  
    Eq(F_681(x), F_682(x) - F_686(x))<br />
  
    Eq(F_682(x), F_683(x)/F_31(x))<br />
  
    Eq(F_683(x), F_684(x))<br />
  
    Eq(F_684(x), F_685(x))<br />
  
    Eq(F_685(x), F_31(x)*F_643(x)*F_89(x))<br />
  
    Eq(F_686(x), F_643(x) + F_684(x))<br />
  
    Eq(F_687(x), F_688(x))<br />
  
    Eq(F_688(x), F_12(x)*F_242(x)*F_6(x))<br />
  
    Eq(F_689(x), F_6(x)*F_626(x))<br />
  
    Eq(F_690(x), F_16(x)*F_391(x))<br />
  
    Eq(F_691(x), F_16(x)*F_692(x))<br />
  
    Eq(F_692(x), F_693(x))<br />
  
    Eq(F_693(x), F_31(x)*F_694(x))<br />
  
    Eq(F_694(x), F_695(x) + F_696(x))<br />
  
    Eq(F_695(x), F_12(x)*F_9(x))<br />
  
    Eq(F_696(x), F_697(x) + F_700(x))<br />
  
    Eq(F_697(x), F_609(x) + F_698(x))<br />
  
    Eq(F_698(x), F_608(x) + F_699(x))<br />
  
    Eq(F_699(x), F_12(x)*F_33(x))<br />
  
    Eq(F_700(x), F_701(x) + F_704(x))<br />
  
    Eq(F_701(x), F_702(x) + F_703(x))<br />
  
    Eq(F_702(x), F_12(x)*F_338(x))<br />
  
    Eq(F_703(x), F_155(x)*F_70(x))<br />
  
    Eq(F_704(x), F_155(x)*F_404(x))<br />
  
    Eq(F_705(x), F_706(x) + F_708(x))<br />
  
    Eq(F_706(x), F_680(x) + F_707(x))<br />
  
    Eq(F_707(x), F_11(x)*F_601(x))<br />
  
    Eq(F_708(x), F_709(x))<br />
  
    Eq(F_709(x), F_11(x)*F_710(x))<br />
  
    Eq(F_710(x), F_711(x))<br />
  
    Eq(F_711(x), F_12(x)*F_31(x)*F_556(x))<br />
  
    Eq(F_712(x), F_713(x) + F_717(x))<br />
  
    Eq(F_713(x), F_11(x)*F_714(x))<br />
  
    Eq(F_714(x), F_601(x) + F_715(x))<br />
  
    Eq(F_715(x), F_716(x))<br />
  
    Eq(F_716(x), F_12(x)*F_31(x)*F_344(x))<br />
  
    Eq(F_717(x), F_600(x) + F_718(x))<br />
  
    Eq(F_718(x), F_719(x) - F_724(x))<br />
  
    Eq(F_719(x), F_720(x) - F_723(x))<br />
  
    Eq(F_720(x), F_721(x)/F_31(x))<br />
  
    Eq(F_721(x), F_722(x))<br />
  
    Eq(F_722(x), F_31(x)*F_654(x)*F_89(x))<br />
  
    Eq(F_723(x), F_654(x) + F_724(x))<br />
  
    Eq(F_724(x), -F_477(x) + F_725(x))<br />
  
    Eq(F_725(x), F_726(x) - F_739(x))<br />
  
    Eq(F_726(x), F_727(x) - F_738(x))<br />
  
    Eq(F_727(x), F_728(x) - F_734(x))<br />
  
    Eq(F_728(x), F_729(x) - F_733(x))<br />
  
    Eq(F_729(x), F_730(x) - F_732(x))<br />
  
    Eq(F_730(x), F_731(x)/F_31(x))<br />
  
    Eq(F_731(x), F_486(x))<br />
  
    Eq(F_732(x), F_16(x)*F_224(x))<br />
  
    Eq(F_733(x), F_16(x)*F_234(x))<br />
  
    Eq(F_734(x), F_735(x) + F_736(x))<br />
  
    Eq(F_735(x), F_162(x) + F_684(x))<br />
  
    Eq(F_736(x), F_737(x))<br />
  
    Eq(F_737(x), F_11(x)*F_552(x))<br />
  
    Eq(F_738(x), F_479(x))<br />
  
    Eq(F_739(x), F_11(x)*F_339(x))<br />
  
    Eq(F_740(x), -F_707(x) + F_741(x))<br />
  
    Eq(F_741(x), F_742(x) - F_763(x))<br />
  
    Eq(F_742(x), -F_388(x) + F_743(x))<br />
  
    Eq(F_743(x), F_744(x) - F_759(x))<br />
  
    Eq(F_744(x), F_745(x) - F_747(x))<br />
  
    Eq(F_745(x), F_746(x)/F_31(x))<br />
  
    Eq(F_746(x), F_175(x))<br />
  
    Eq(F_747(x), F_748(x) + F_759(x))<br />
  
    Eq(F_748(x), F_242(x) + F_749(x))<br />
  
    Eq(F_749(x), F_49(x) + F_750(x))<br />
  
    Eq(F_750(x), F_28(x) + F_751(x))<br />
  
    Eq(F_751(x), F_752(x))<br />
  
    Eq(F_752(x), F_31(x)*F_753(x))<br />
  
    Eq(F_753(x), F_754(x) + F_755(x))<br />
  
    Eq(F_754(x), F_16(x)*F_2(x))<br />
  
    Eq(F_755(x), F_756(x) + F_758(x))<br />
  
    Eq(F_756(x), F_2(x)*F_757(x))<br />
  
    Eq(F_757(x), F_11(x) + F_69(x))<br />
  
    Eq(F_758(x), F_16(x)*F_6(x))<br />
  
    Eq(F_759(x), F_382(x) + F_760(x))<br />
  
    Eq(F_760(x), F_761(x) + F_762(x))<br />
  
    Eq(F_761(x), F_162(x) + F_558(x))<br />
  
    Eq(F_762(x), F_155(x)*F_17(x))<br />
  
    Eq(F_763(x), F_17(x)*F_601(x))<br />
  
    Eq(F_764(x), F_304(x)*F_601(x))<br />
  
    Eq(F_765(x), F_766(x))<br />
  
    Eq(F_766(x), F_197(x)*F_31(x)*F_80(x))<br />
  
    Eq(F_767(x), F_65(x) + F_768(x))<br />
  
    Eq(F_768(x), F_215(x) + F_40(x))<br />
  
    Eq(F_769(x), F_770(x))<br />
  
    Eq(F_770(x), F_31(x)*F_80(x)*F_88(x))<br />
  
    Eq(F_771(x), F_772(x) + F_773(x))<br />
  
    Eq(F_772(x), F_43(x) + F_50(x))<br />
  
    Eq(F_773(x), F_774(x) + F_783(x))<br />
  
    Eq(F_774(x), F_155(x) + F_775(x))<br />
  
    Eq(F_775(x), F_776(x))<br />
  
    Eq(F_776(x), F_31(x)*F_777(x))<br />
  
    Eq(F_777(x), F_49(x) + F_778(x))<br />
  
    Eq(F_778(x), F_762(x) + F_779(x))<br />
  
    Eq(F_779(x), F_774(x) + F_780(x))<br />
  
    Eq(F_780(x), F_162(x) + F_781(x))<br />
  
    Eq(F_781(x), F_782(x))<br />
  
    Eq(F_782(x), F_16(x)*F_31(x)*F_777(x))<br />
  
    Eq(F_783(x), F_150(x) + F_784(x))<br />
  
    Eq(F_784(x), F_785(x))<br />
  
    Eq(F_785(x), F_31(x)*F_786(x))<br />
  
    Eq(F_786(x), F_787(x) + F_788(x))<br />
  
    Eq(F_787(x), F_2(x)*F_283(x))<br />
  
    Eq(F_788(x), F_789(x) + F_792(x))<br />
  
    Eq(F_789(x), F_790(x) + F_791(x))<br />
  
    Eq(F_790(x), F_155(x)*F_271(x))<br />
  
    Eq(F_791(x), F_150(x)*F_275(x))<br />
  
    Eq(F_792(x), F_155(x)*F_283(x))<br />
  
  Pack JSON:<br />{&#34;name&#34;: &#34;insertion_point_placements_req_corrob_symmetries&#34;, &#34;initial_strats&#34;: [{&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorFactory&#34;, &#34;interleaving&#34;: null, &#34;unions&#34;: false, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;tracked&#34;: false}, {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;CellInsertionFactory&#34;, &#34;ignore_parent&#34;: true, &#34;maxreqlen&#34;: 1, &#34;extra_basis&#34;: [], &#34;one_cell_only&#34;: true}, {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementCorroborationFactory&#34;, &#34;ignore_parent&#34;: true}], &#34;inferral_strats&#34;: [{&#34;class_module&#34;: &#34;tilings.strategies.row_and_col_separation&#34;, &#34;strategy_class&#34;: &#34;RowColumnSeparationStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;inferrable&#34;: true, &#34;possibly_empty&#34;: false, &#34;workable&#34;: true}, {&#34;class_module&#34;: &#34;tilings.strategies.obstruction_inferral&#34;, &#34;strategy_class&#34;: &#34;ObstructionTransitivityFactory&#34;}], &#34;ver_strats&#34;: [{&#34;class_module&#34;: &#34;tilings.strategies.verification&#34;, &#34;strategy_class&#34;: &#34;BasicVerificationStrategy&#34;}, {&#34;class_module&#34;: &#34;tilings.strategies.verification&#34;, &#34;strategy_class&#34;: &#34;InsertionEncodingVerificationStrategy&#34;, &#34;ignore_parent&#34;: false}, {&#34;class_module&#34;: &#34;tilings.strategies.verification&#34;, &#34;strategy_class&#34;: &#34;OneByOneVerificationStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;basis&#34;: [[0, 2, 3, 4, 1], [0, 2, 4, 3, 1], [0, 3, 2, 4, 1], [0, 3, 4, 2, 1], [0, 4, 2, 3, 1], [0, 4, 3, 2, 1], [4, 0, 2, 3, 1], [4, 0, 3, 2, 1]], &#34;symmetry&#34;: true}, {&#34;class_module&#34;: &#34;tilings.strategies.verification&#34;, &#34;strategy_class&#34;: &#34;LocallyFactorableVerificationStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;basis&#34;: [[0, 2, 3, 4, 1], [0, 2, 4, 3, 1], [0, 3, 2, 4, 1], [0, 3, 4, 2, 1], [0, 4, 2, 3, 1], [0, 4, 3, 2, 1], [4, 0, 2, 3, 1], [4, 0, 3, 2, 1]], &#34;symmetry&#34;: true}], &#34;expansion_strats&#34;: [[{&#34;class_module&#34;: &#34;tilings.strategies.requirement_placement&#34;, &#34;strategy_class&#34;: &#34;PatternPlacementFactory&#34;, &#34;partial&#34;: false, &#34;ignore_parent&#34;: false, &#34;dirs&#34;: [0, 1, 2, 3], &#34;point_only&#34;: false}]], &#34;symmetries&#34;: [{&#34;class_module&#34;: &#34;tilings.strategies.symmetry&#34;, &#34;strategy_class&#34;: &#34;SymmetriesFactory&#34;, &#34;basis&#34;: [[0, 2, 3, 4, 1], [0, 2, 4, 3, 1], [0, 3, 2, 4, 1], [0, 3, 4, 2, 1], [0, 4, 2, 3, 1], [0, 4, 3, 2, 1], [4, 0, 2, 3, 1], [4, 0, 3, 2, 1]]}], &#34;iterative&#34;: false}<br />
  Specification JSON:<br />{&#34;root&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, &#34;rules&#34;: [{&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;ReverseRule&#34;, &#34;original_rule&#34;: {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 2], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 2], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 2], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 0], [0, 0]]}, 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1], [3, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[3, 0], [3, 1], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [2, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 0], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 1], [1, 0], [3, 0], [3, 1]], [[2, 2]]]}}, &#34;idx&#34;: 0}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;ReverseRule&#34;, &#34;original_rule&#34;: {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [2, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 0], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [1, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [2, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 0], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}]}}, &#34;idx&#34;: 1}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;ReverseRule&#34;, &#34;original_rule&#34;: {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [3, 0]]}, {&#34;patt&#34;: [0, 1], 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{&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[3, 0], [3, 2], [3, 0], [3, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 0], [2, 0], [3, 0], [3, 2]], [[1, 1]]]}}, &#34;idx&#34;: 0}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;ReverseRule&#34;, &#34;original_rule&#34;: {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: 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1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], 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{&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]}}, &#34;idx&#34;: 1}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;ReverseRule&#34;, &#34;original_rule&#34;: {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, 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0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 1]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [2, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [3, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 0], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 0], [2, 1], [3, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 0], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[3, 0], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [2, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 1], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [3, 1], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [3, 0], [3, 1], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 1], [2, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 1], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [3, 1], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [3, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 1], [2, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[3, 0], [3, 1], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 2], [1, 0], [2, 0], [2, 2], [3, 0], [3, 2]], [[4, 1]]]}}, &#34;idx&#34;: 0}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;ReverseRule&#34;, &#34;original_rule&#34;: {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [2, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [3, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 0], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 0], [2, 1], [3, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 0], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[3, 0], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [2, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [2, 1], [2, 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{&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], 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{&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}]}}, &#34;idx&#34;: 0}, 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&#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], 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[0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}]}}, &#34;idx&#34;: 1}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;ReverseRule&#34;, &#34;original_rule&#34;: {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [2, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 2], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [2, 3], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [2, 0], [2, 3], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [2, 3], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 2], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 2], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [1, 2], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 0], [0, 2], [2, 0], [2, 3]], [[1, 1]]]}}, &#34;idx&#34;: 0}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;ReverseRule&#34;, &#34;original_rule&#34;: {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [3, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 4], [1, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 4]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 4], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 4], [0, 4]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 4], [0, 1], [0, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 4], [0, 1], [0, 4]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 2], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 2], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 2], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [3, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 4], [3, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [3, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [3, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 4], [0, 1], [3, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 4], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [4, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 4], [0, 2], [0, 4], [0, 4]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 4], [0, 1], [0, 1], [3, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 4], [0, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 4], [0, 2], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 4], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 4], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 4], [0, 4], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 4], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 4], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 4], [0, 4], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 4], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 4], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 4], [0, 2], [0, 4], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 4], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 4], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 4], [0, 4], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 4], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 4], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 4], [0, 2], [0, 4], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 4], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 4], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 4], [0, 4], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 4], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 4], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 4], [0, 2], [0, 2], [0, 4], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 2], [0, 4], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [1, 0]]}, 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3], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}]}}, &#34;idx&#34;: 0}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;ReverseRule&#34;, &#34;original_rule&#34;: {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: 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&#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 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[[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, 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&#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 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{&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}]}}, &#34;idx&#34;: 0}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;ReverseRule&#34;, &#34;original_rule&#34;: {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 3], [1, 3]]}, 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&#34;pos&#34;: [[0, 3], [2, 0], [2, 3], [2, 0], [2, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 2], 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[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: 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[[0, 1], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0, 1], 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0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 1], [0, 2], [0, 4], 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0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}]}}, &#34;idx&#34;: 0}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;ReverseRule&#34;, &#34;original_rule&#34;: {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 2], [1, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 2], [2, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0], 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{&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 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[[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 2], [1, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 2], [2, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 2], 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2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [1, 0], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [1, 0], [1, 2], [1, 0], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}]}}, &#34;idx&#34;: 1}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;ReverseRule&#34;, &#34;original_rule&#34;: {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], 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[0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [1, 0], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [1, 0], [1, 2], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 1], [0, 2], [0, 4], [1, 0], [1, 2], [3, 0], [3, 2]], [[2, 3]]]}}, &#34;idx&#34;: 0}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, 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[2, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[1, 2], [2, 0], [2, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[2, 2], [2, 0], [2, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [2, 0], [2, 2], [2, 0], [2, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[1, 2], [2, 0], [2, 2], [2, 0], [2, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[2, 2], [2, 0], [2, 2], [2, 0], [2, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 3], [1, 3], [2, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 2, 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{&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 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[0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [1, 0], [1, 2], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], 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&#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}]}}, &#34;idx&#34;: 1}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;ReverseRule&#34;, &#34;original_rule&#34;: {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, 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{&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 1], [0, 3], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [1, 3]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [2, 3]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [2, 0], [2, 0], [2, 3], [2, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[1, 3], [2, 0], [2, 0], [2, 3], [2, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[2, 3], [2, 0], [2, 0], [2, 3], [2, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 3], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [1, 3]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [2, 3]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [2, 0], [2, 3], [2, 0], [2, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[1, 3], [2, 0], [2, 3], [2, 0], [2, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[2, 3], [2, 0], [2, 3], [2, 0], [2, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 2], [1, 2], [2, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 2], [1, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[1, 2], [1, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[1, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 2], [1, 2], [2, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 2], [1, 2], [2, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 2], [1, 2], [2, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [1, 2], [2, 2]]}, {&#34;patt&#34;: [2, 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[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [2, 0], [2, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[1, 2], [2, 0], [2, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[2, 2], [2, 0], [2, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [2, 0], [2, 2], [2, 0], [2, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[1, 2], [2, 0], [2, 2], [2, 0], [2, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[2, 2], [2, 0], [2, 2], [2, 0], [2, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], 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&#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}]}}, &#34;idx&#34;: 1}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;ReverseRule&#34;, &#34;original_rule&#34;: {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 2], [1, 2]]}, 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[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], 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&#34;pos&#34;: [[2, 0], [2, 0], [2, 3], [2, 3], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[2, 0], [2, 3], [2, 0], [2, 3], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[2, 0], [2, 3], [2, 3], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 3], [2, 0], [2, 3], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 3], [2, 3], [2, 0], [2, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[1, 3], [2, 0], [2, 0], [2, 3], [2, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[2, 3], [2, 0], [2, 0], [2, 3], [2, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[1, 3], [2, 0], [2, 3], [2, 0], [2, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[2, 3], [2, 0], [2, 3], [2, 0], [2, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 3], [1, 3], [2, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 3], [2, 3], [2, 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2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 2], 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2], [0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [1, 0], [1, 2], [1, 0], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}]}}, &#34;idx&#34;: 1}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;ReverseRule&#34;, &#34;original_rule&#34;: {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, 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{&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 3], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [1, 3]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [1, 0], [1, 3], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[1, 3], [1, 0], [1, 3], [1, 0], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, 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{&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 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[1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [1, 0], [1, 2], [1, 0], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;gps&#34;: 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{&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 3], [0, 4], [0, 3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, 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{&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 3], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 3], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 3], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 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2]]}]}}, &#34;idx&#34;: 1}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;ReverseRule&#34;, &#34;original_rule&#34;: {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [2, 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{&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}]}}, &#34;idx&#34;: 1}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;ReverseRule&#34;, &#34;original_rule&#34;: {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: 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&#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 3], [2, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 4], [1, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 4], [2, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [2, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 3], [0, 4]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 3], [1, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 3], [2, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 4]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 3], [1, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 3], [2, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [1, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [2, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 4], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 4], [0, 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&#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 4], [0, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 3], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 4]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 3], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 4], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [2, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 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{&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 3], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 4], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [2, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 3], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 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[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 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[[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 0], [0, 2], [1, 0], [1, 2]], [[2, 1]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 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&#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 2], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 2], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 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2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, 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[[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 3], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 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0], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 1], [0, 3]], [[1, 0], [3, 0]], [[2, 2]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 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{&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], 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{&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, 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&#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 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[1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 0], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: 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{&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0]]}, 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1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, 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{&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: 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&#34;pos&#34;: [[1, 0]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [2, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 0], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: 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{&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 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{&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [1, 0], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [1, 0], [1, 1], [1, 0], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [1, 0], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [1, 0], [1, 1], [1, 0], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 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[4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}]], &#34;assumptions&#34;: []}], 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0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 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&#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 2], [1, 0], [2, 0], [2, 2]], [[3, 1]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], 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{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 2], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 2], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, 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[0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 1], [0, 3], [1, 1], [1, 3]], [[2, 0], [4, 0]], [[3, 2]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 0], [1, 0], [3, 0]], [[2, 1]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, 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1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 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4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 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{&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 1], [0, 2]], [[1, 0]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}]], &#34;assumptions&#34;: []}], 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0], [0, 0], [0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 1]], [[1, 0], [2, 0]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 0], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 0], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [2, 1], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [2, 1], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: 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2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [2, 1], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], 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0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 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2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2]]}, {&#34;patt&#34;: 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{&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 3], [3, 3]], [[1, 1]], [[2, 0], [2, 2]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 1], [2, 1]]}, 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[[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 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[[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 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0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [2, 1], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, 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&#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 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[0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 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[0, 2], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: 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&#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 1], [0, 2]], [[1, 0]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [2, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [4, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 0], [4, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[5, 1], [5, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[5, 1], [5, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[4, 0], [4, 2], [4, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [4, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [2, 2], [4, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [3, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 2], [2, 2], [4, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[4, 0], [4, 2], [4, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[4, 0], [4, 0], [4, 2], [4, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[4, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[4, 0], [4, 2], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[4, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 1]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [2, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [4, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 0], [4, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[4, 0], [4, 1], [4, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [4, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [2, 1], [4, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [3, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 1], [2, 1], [4, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[4, 0], [4, 1], [4, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[4, 0], [4, 0], [4, 1], [4, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[4, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[4, 0], [4, 1], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[4, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 2], [1, 0], [2, 2], [3, 0], [4, 0], [4, 2]], [[5, 1]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: 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{&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 1], [1, 1]], [[2, 0], [3, 0]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, 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&#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 2], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 2], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 2], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 0], [0, 2], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 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{&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0, 1], 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&#34;pos&#34;: [[0, 2], [0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [2, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [4, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 0], [4, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[4, 0], [4, 1], [4, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [4, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [2, 1], [4, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [3, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 1], [2, 1], [4, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[4, 0], [4, 1], [4, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[4, 0], [4, 0], [4, 1], [4, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[4, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[4, 0], [4, 1], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[4, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [2, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [4, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 0], [4, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[4, 0], [4, 1], [4, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [4, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [2, 1], [4, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [3, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 1], [2, 1], [4, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[4, 0], [4, 1], [4, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[4, 0], [4, 0], [4, 1], [4, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[4, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[4, 0], [4, 1], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[4, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 0], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 0], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], 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[0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], 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{&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}]], 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0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 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{&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}], &#34;requirements&#34;: 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0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 2]], [[1, 0], [2, 0], [2, 1]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 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3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [2, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [4, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 0], [4, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[4, 0], [4, 1], [4, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [4, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [2, 1], [4, 1]]}, {&#34;patt&#34;: [0, 2, 1], 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[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [2, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 0], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [2, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [2, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 0], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 2], [0, 3], [1, 0], [2, 0], [2, 2]], [[3, 1]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 0], [3, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[3, 0], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [1, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 1], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[3, 0], [3, 1], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 0], [3, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[3, 0], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [1, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 1], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[3, 0], [3, 1], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], 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[2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [3, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: 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&#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 0], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 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[{&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 0], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [3, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [3, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [1, 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0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], 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0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 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&#34;pos&#34;: [[0, 1], [0, 2], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 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&#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], 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{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 1], [0, 2], [0, 3]], [[1, 0]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 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0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [3, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [3, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 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&#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 1], [1, 0], [3, 1], [4, 0]], [[2, 2]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: 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&#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [1, 3]]}, {&#34;patt&#34;: 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{&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: 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{&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 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0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], 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0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}]], &#34;assumptions&#34;: []}], 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[[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 2], [1, 1]]}, {&#34;patt&#34;: 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{&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 1], [0, 2]], [[1, 0]], [[2, 3]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 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&#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 2], [0, 3]], [[1, 1]], [[2, 0]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [1, 2], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 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[0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 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{&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], 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[0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;gps&#34;: 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[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 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[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 1], [0, 2]], [[1, 0]], [[2, 3]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 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{&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [1, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], 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2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}]}}, {&#34;class_module&#34;: 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[[0, 1], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 2], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 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{&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [1, 0], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [1, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [1, 2], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [1, 1], [1, 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[0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [1, 0], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [1, 0], [1, 1], [1, 0], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, 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&#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], 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{&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: 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&#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2]]}, 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[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, 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1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: 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{&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 1], [0, 2], [0, 3], [1, 1]], [[2, 0]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 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&#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 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[0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, 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{&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 1]], [[1, 0], [2, 0], [2, 2]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, 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&#34;pos&#34;: [[1, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 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{&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, 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0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 1], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 2], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 2], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 1], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 2], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 2], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 1], [0, 2]], [[1, 0], [1, 3]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], 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{&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 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&#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 2], [0, 0], [1, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 2], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 2], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 2], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [1, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 2], [0, 0], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 2], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [1, 1], [1, 0], [1, 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{&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, 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[[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], 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[[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}], &#34;requirements&#34;: 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[4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: 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[0], &#34;pos&#34;: [[0, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 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{&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 2], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 2], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], 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{&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 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&#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], 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[0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 2], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 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[[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], 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1], [1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [2, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], 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1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1], [1, 1]]}, 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1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], 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0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 1], [1, 1]], [[2, 0], [3, 0]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], 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[[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, 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[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}]], &#34;assumptions&#34;: []}], 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[[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 1]], [[1, 0], [2, 0]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, 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[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 0]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [2, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [2, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 1], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [3, 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2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 2], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [2, 2], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 1], [2, 2], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 0]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 1], [0, 2], [1, 0], [3, 1], [3, 2], [4, 0], [5, 0]], [[2, 3]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [2, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [2, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 1], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [3, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [4, 0], 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[0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 1], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 2], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 2], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 2], [1, 1], [1, 2]], [[2, 0], [3, 0]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [2, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [2, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [3, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [2, 2], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [2, 1], [2, 2], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], 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2], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 1], [2, 2], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 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{&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [2, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [2, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [3, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], 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4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [2, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [2, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [3, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [2, 2], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [2, 1], [2, 2], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 2], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [2, 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1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 0]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [1, 2], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [1, 1], [1, 2], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 2], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [1, 2], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 2], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], 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[0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 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{&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, 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{&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[6, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[6, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[6, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [2, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [6, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 0], [6, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[5, 1], [5, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[5, 1], [5, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [3, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[4, 0], [4, 0], [6, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[4, 0], [6, 0], [6, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 3], [2, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: 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&#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 1]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 2]]}, {&#34;patt&#34;: [0], 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{&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 1], [0, 2], [1, 1], [1, 2]], [[2, 0], [3, 0]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 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[0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 1], [0, 2]], [[1, 0], [2, 0], [3, 0]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [2, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [5, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 0], [5, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [3, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[4, 0], [4, 0], [5, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[4, 0], [5, 0], [5, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[5, 0], [5, 0], [5, 0], [5, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[5, 0], [5, 0], [5, 0], [5, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [4, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [2, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [5, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 0], [5, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [3, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[4, 0], [4, 0], [5, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[4, 0], [5, 0], [5, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[5, 0], [5, 0], [5, 0], [5, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [2, 1]]}, 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2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: 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1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}], [{&#34;patt&#34;: 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[0, 0], [0, 0], [0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 2]], [[1, 1]], [[2, 0], [3, 0]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: 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1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [4, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 0], [4, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 0], [4, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: 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{&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 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[0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 0], [4, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], 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2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;gps&#34;: 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1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, 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{&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: 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{&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 1], [0, 2], [1, 1]], [[2, 0], [3, 0], [4, 0]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 1], [2, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [2, 1], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [2, 2], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 1], [2, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 1], [2, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [2, 1], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [2, 2], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 1], [3, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 4], [3, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [3, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 1], [3, 1]]}, 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[0, 2], [0, 2], [0, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 1], [0, 3], [1, 0], [3, 0], [3, 1], [3, 4]], [[2, 2]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 1], [2, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [2, 1], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [2, 2], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], 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{&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 1], [2, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [2, 1], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [2, 2], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 1], [2, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 2], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 3], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 3], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: 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[[1, 0], [2, 3], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, 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&#34;pos&#34;: [[2, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: 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[0], &#34;pos&#34;: [[1, 1]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 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{&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 1], [2, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [2, 0], 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{&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}]], 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1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 1], [0, 2]], [[1, 0], [2, 0], [2, 3]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 2], [1, 2], [2, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 2], [1, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[1, 2], [1, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[1, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 2], [1, 2], [2, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 2], [1, 2], [2, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 2], [1, 2], [2, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 2], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 2], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 2], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 2], [2, 0], [2, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[1, 2], [2, 0], [2, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[2, 2], [2, 0], [2, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[1, 2], [2, 0], [2, 2], [2, 0], [2, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[2, 2], [2, 0], [2, 2], [2, 0], [2, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [1, 0], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [1, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 1], [1, 0], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 1]], [[1, 2], [2, 0], [2, 2]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 3], [1, 3], [2, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 3], [2, 3], [2, 3]]}, 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{&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [1, 0], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [1, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 1], [1, 0], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 1], [0, 2]], [[1, 3], [2, 0], [2, 3]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, 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4], [2, 4]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: 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0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 2], [0, 3]], [[1, 1]], [[2, 0], [2, 4]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 0], [2, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 0], [2, 0], [2, 2]], [[1, 1]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], 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{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 0]]}], 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&#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], 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{&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}], 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[0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 1]], [[1, 0], [1, 2]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 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&#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [3, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [3, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 2], [2, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 3], [3, 3]], [[1, 1]], [[2, 0], [2, 2]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 0], [4, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 3], [3, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 3], [3, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[4, 0], [4, 1], [4, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [4, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[4, 0], [4, 1], [4, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 4], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[4, 0], [4, 0], [4, 1], [4, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[4, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 4], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[4, 0], [4, 1], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[4, 1], [4, 1], [4, 1], [4, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], 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&#34;pos&#34;: [[2, 0], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}], [{&#34;patt&#34;: [0], 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&#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [2, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 0], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [2, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 0], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 0], [1, 0], [3, 0]], [[2, 1]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, 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{&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 3], [1, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 1], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [1, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 3], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 3], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [1, 3], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [1, 1], [1, 3], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [1, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 3], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0], [4, 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&#34;pos&#34;: [[0, 0], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 1], [0, 3], [1, 1], [1, 3]], [[2, 0], [4, 0]], [[3, 2]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [3, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 3], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[3, 0], [3, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[3, 0], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [4, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[3, 0], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0], [4, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 0]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 1], [0, 3]], [[1, 0], [3, 0], [4, 0]], [[2, 2]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [4, 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[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0], [4, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}]], 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&#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [4, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 4], [2, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[4, 3], [4, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 4], [2, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 4], [4, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[4, 3], [4, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0], [4, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 3]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [3, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 3], [3, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 2], [1, 0], [2, 0], [2, 4], [4, 0], [4, 3]], [[3, 1]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [3, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 3], [3, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [3, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 3], [3, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [3, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 3], [3, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 1]], [[1, 0], [2, 0], [2, 3], [3, 0], [3, 2]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 2], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: 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{&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 0], [1, 0]], [[2, 1]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: 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&#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 0], [5, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 4], [3, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[4, 1], [4, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[5, 3], [5, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 4], [3, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 4], [5, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[4, 1], [4, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[5, 3], [5, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [5, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [5, 0], [5, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[5, 0], [5, 0], [5, 0], [5, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[5, 0], [5, 0], [5, 0], [5, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 3]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 1]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 0], [4, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 3], [3, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[4, 2], [4, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 3], [3, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 3], [4, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[4, 2], [4, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0], [4, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 2]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 2], [1, 2], [2, 0], [3, 0], [3, 4], [5, 0], [5, 3]], [[4, 1]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 0], [4, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 3], [3, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[4, 2], [4, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 3], [3, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 3], [4, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[4, 2], [4, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0], [4, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 2]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [3, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 3], [3, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 0], [4, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 3], [3, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[4, 2], [4, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 3], [3, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 3], [4, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[4, 2], [4, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0], [4, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 2]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [3, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 3], [3, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 1]], [[1, 0], [2, 0], [2, 3], [3, 0], [3, 2]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 0], [4, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 3], [3, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[4, 2], [4, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 3], [3, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 3], [4, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[4, 2], [4, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0], [4, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 2]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 1], [1, 1]], [[2, 0], [3, 0], [3, 3], [4, 0], [4, 2]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [4, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [3, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0], [4, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 0]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 0], [1, 0], [3, 0], [4, 0]], [[2, 1]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: 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{&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 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[]}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 0], [2, 0], [3, 0]], [[1, 1]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [3, 0]]}, {&#34;patt&#34;: 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{&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], 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{&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[6, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[6, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[7, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[7, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 0], [3, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 0], [7, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[4, 0], [7, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[6, 1], [6, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[6, 1], [6, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: 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&#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[5, 0], [5, 0], [5, 0], [5, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[7, 0], [7, 0], [7, 0], [7, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [3, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 2], [1, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [4, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[5, 0], [5, 0], [5, 0], [5, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[7, 0], [7, 0], [7, 0], [7, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[6, 1]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[6, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 0], [3, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 0], [6, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[4, 0], [6, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [1, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [5, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [4, 0], [5, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [5, 0], [5, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[4, 0], [4, 0], [5, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[4, 0], [5, 0], [5, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[5, 0], [5, 0], [6, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[5, 0], [6, 0], [6, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[5, 0], [5, 0], [5, 0], [5, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[6, 0], [6, 0], [6, 0], [6, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [3, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [4, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[5, 0], [5, 0], [5, 0], [5, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[6, 0], [6, 0], [6, 0], [6, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 0]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 2], [1, 2], [2, 0], [3, 2], [4, 0], [5, 0], [7, 0]], [[6, 1]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[6, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 0], [3, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 0], [6, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[4, 0], [6, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [1, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [5, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [4, 0], [5, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [5, 0], [5, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[4, 0], [4, 0], [5, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[4, 0], [5, 0], [5, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[5, 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[[4, 0], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[5, 0], [5, 0], [5, 0], [5, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[6, 0], [6, 0], [6, 0], [6, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 0]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [4, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 0], [4, 0]]}, 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{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[6, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 0], [3, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 0], [6, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[4, 0], [6, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [1, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 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3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 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{&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [4, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], 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&#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0], [4, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [3, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 1]], [[1, 0], [2, 0], [3, 0], [4, 0]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[6, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 0], [3, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 0], [6, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[4, 0], [6, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [1, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [5, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [4, 0], [5, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [5, 0], [5, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[4, 0], [4, 0], [5, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[4, 0], [5, 0], [5, 0]]}, {&#34;patt&#34;: [0, 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[0, 3, 2, 1], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[5, 0], [5, 0], [5, 0], [5, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[6, 0], [6, 0], [6, 0], [6, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 0]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 0], [5, 0]]}, {&#34;patt&#34;: [0, 2, 1], 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1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[5, 0], [5, 0], [5, 0], [5, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[5, 0], [5, 0], [5, 0], [5, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 0], [5, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 0], [5, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [3, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[4, 0], [4, 0], [5, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[4, 0], [5, 0], [5, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: 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1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], 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1], [1, 1], [1, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 0], [5, 0]]}, {&#34;patt&#34;: [0, 2, 1], 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1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[5, 0], [5, 0], [5, 0], [5, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[5, 0], [5, 0], [5, 0], [5, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0], [4, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 0], [5, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[4, 0], [4, 0], [5, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[4, 0], [5, 0], [5, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[5, 0], [5, 0], [5, 0], [5, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[5, 0], [5, 0], [5, 0], [5, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 0], [5, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 0], [5, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [3, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[4, 0], [4, 0], [5, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[4, 0], [5, 0], [5, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[5, 0], [5, 0], [5, 0], [5, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[5, 0], [5, 0], [5, 0], [5, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [3, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 1], [1, 1]], [[2, 0], [3, 0], [4, 0], [5, 0]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0], [4, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 1], [1, 1]], [[2, 0], [3, 0], [4, 0]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 0], [5, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[4, 0], [4, 0], [5, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[4, 0], [5, 0], [5, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[5, 0], [5, 0], [5, 0], [5, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[5, 0], [5, 0], [5, 0], [5, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 1], [1, 1], [2, 1]], [[3, 0], [4, 0], [5, 0]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[6, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[6, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [2, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [6, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 0], [6, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[5, 1], [5, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[5, 1], [5, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [3, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[4, 0], [4, 0], [6, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[4, 0], [6, 0], [6, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[6, 0], [6, 0], [6, 0], [6, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[6, 0], [6, 0], [6, 0], [6, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 1]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [2, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [5, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 0], [5, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [3, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[4, 0], [4, 0], [5, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[4, 0], [5, 0], [5, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[5, 0], [5, 0], [5, 0], [5, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[5, 0], [5, 0], [5, 0], [5, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 2], [1, 0], [2, 2], [3, 0], [4, 0], [6, 0]], [[5, 1]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [2, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [5, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 0], [5, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [3, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[4, 0], [4, 0], [5, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[4, 0], [5, 0], [5, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[5, 0], [5, 0], [5, 0], [5, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[5, 0], [5, 0], [5, 0], [5, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [3, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [2, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [5, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 0], [5, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [3, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[4, 0], [4, 0], [5, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[4, 0], [5, 0], [5, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[5, 0], [5, 0], [5, 0], [5, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[5, 0], [5, 0], [5, 0], [5, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [2, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [5, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 0], [5, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [3, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[4, 0], [4, 0], [5, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[4, 0], [5, 0], [5, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[5, 0], [5, 0], [5, 0], [5, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[5, 0], [5, 0], [5, 0], [5, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0], [4, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [4, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0], [4, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 1], 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[0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0], [4, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0], [4, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], 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[4, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[6, 0], [6, 0], [6, 0], [6, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[6, 0], [6, 0], [6, 0], [6, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 1]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 0], [5, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[4, 0], [4, 0], [5, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[4, 0], [5, 0], [5, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[5, 0], [5, 0], [5, 0], [5, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[5, 0], [5, 0], [5, 0], [5, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 2], [1, 2], [2, 2], [3, 0], [4, 0], [6, 0]], [[5, 1]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 0], [5, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[4, 0], [4, 0], [5, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[4, 0], [5, 0], [5, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[5, 0], [5, 0], [5, 0], [5, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[5, 0], [5, 0], [5, 0], [5, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0], [4, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 0], [5, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[4, 0], [4, 0], [5, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[4, 0], [5, 0], [5, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[5, 0], [5, 0], [5, 0], [5, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[5, 0], [5, 0], [5, 0], [5, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0], [4, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 1], [1, 1]], [[2, 0], [3, 0], [4, 0]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 0], [5, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[4, 0], [4, 0], [5, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[4, 0], [5, 0], [5, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[5, 0], [5, 0], [5, 0], [5, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[5, 0], [5, 0], [5, 0], [5, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], 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{&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}]], &#34;assumptions&#34;: []}, 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0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 0], [1, 0], [3, 0]], [[2, 1]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [3, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], 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{&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [3, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0], [4, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [3, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0], [4, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 0]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 1], [1, 1]], [[2, 0], [3, 0]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: 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0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 1]], [[1, 0], [2, 0], [3, 0]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 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[[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 0], [2, 0], [3, 0]], [[1, 1]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 3], [3, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 3], [3, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [3, 3]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [3, 3]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [3, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [3, 3]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [3, 3]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [3, 3]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [3, 3]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [3, 3]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 3], [3, 3]], [[1, 1]], [[2, 0], [2, 2]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 2], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 2], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 2], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 4], [0, 2], [0, 4], [0, 4]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 4], [0, 2], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 4], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 4], [0, 4], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 4], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 4], [0, 4], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 4], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 4], [0, 2], [0, 4], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 4], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 4], [0, 4], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 4], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 4], [0, 2], [0, 4], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 4], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 4], [0, 4], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 4], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 4], [0, 2], [0, 2], [0, 4], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 2], [0, 4], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], 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&#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [1, 0], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [4, 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{&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [2, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [2, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 1], [2, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 0], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 0], [2, 1], [2, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 0], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 1], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 1], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 2], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [2, 1], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 1], [2, 2], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [1, 0], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [1, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 2], [1, 0], [1, 1], [3, 0], [3, 1], [3, 2]], [[2, 3]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [2, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [2, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 1], [2, 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{&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, 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2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [1, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 1], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], 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[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [1, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 1], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 2], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 2], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [2, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [2, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 1], [2, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 0], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 0], [2, 1], [2, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 0], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 1], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 1], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 2], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [2, 1], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 1], [2, 2], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [2, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 0], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 0], [2, 1], [2, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 0], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 1], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 1], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 2], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 1], [2, 2], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [2, 1], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: 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&#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 1], [2, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 0], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [2, 1], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 2]], [[1, 0], [1, 1], [2, 0], [2, 1]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [1, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 1], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 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{&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 2], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 2], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], 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&#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 0], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [2, 1], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 2]], [[1, 0], [1, 1], [2, 0], [2, 1]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [1, 0], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [1, 0], [1, 2], [1, 0], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [1, 0], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [1, 0], [1, 2], [1, 0], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], 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{&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 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[0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 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[0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], 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&#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 0], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 2]], [[1, 1], [2, 0], [2, 1]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: 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0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 1], [0, 3], [0, 4], [2, 0], [2, 5]], [[1, 2]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, 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0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 2], [0, 4], [1, 0], [1, 1], [3, 0], [3, 1]], [[2, 3]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 4], [1, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 4], [1, 4]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 3], [1, 4]]}, {&#34;patt&#34;: [0, 1, 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[{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [1, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 4], [1, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 4], [1, 4]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 3], [1, 4]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 3], [1, 4]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 3]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 3], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 3], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 3], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 3], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 3], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 3], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 3], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 3], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [2, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[4, 2], [4, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[4, 2], [4, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 1], [2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [2, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 1], [2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [5, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [5, 0], [5, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 3], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[5, 0], [5, 0], [5, 0], [5, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 1], [2, 3], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[5, 0], [5, 0], [5, 0], [5, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 2]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [2, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 0], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 3], [1, 1], [2, 1], [2, 3]], [[3, 0], [5, 0]], [[4, 2]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [1, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [1, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 1], [2, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 0], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 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&#34;pos&#34;: [[0, 3], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [1, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: 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1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [1, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 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3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[4, 2], [4, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[4, 2], [4, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [5, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [3, 0], [5, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [5, 0], [5, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [5, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [5, 0], [5, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[5, 0], [5, 0], [5, 0], [5, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[5, 0], [5, 0], [5, 0], [5, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 2]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 3], [1, 1]], [[2, 0], [3, 0], [5, 0]], [[4, 2]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 2], [1, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 2], [1, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 1], [2, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 0], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 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[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [1, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [1, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 1], [2, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 0], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 1], [2, 1], [2, 1]]}, 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[0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 2], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 3], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 3], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [1, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], 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&#34;pos&#34;: [[1, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 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&#34;pos&#34;: [[0, 1]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 2], [0, 3]], [[1, 0], [1, 1]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [1, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], 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2], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 3], [2, 3]]}, 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&#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 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&#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: 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1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 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{&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 3], [1, 1], [2, 1], [2, 3], [3, 1], [3, 3]], [[4, 0], [6, 0]], [[5, 2]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [2, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[4, 2], [4, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[4, 2], [4, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 1], [2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 1], [2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [2, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 3], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [2, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 1], [2, 3], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 2]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [2, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 0], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 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[0, 2, 4, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 3], [1, 1], [2, 1], [2, 3]], [[3, 0]], [[4, 2]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 4], [2, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 4], [2, 4]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 1], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 2], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 2], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 3]], [[1, 1], [1, 2]], [[2, 0], [2, 4]]]}}, 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&#34;pos&#34;: [[4, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 3], [0, 4]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 3], [1, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 1], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [1, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 4], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 1], 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{&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 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{&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 2], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 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[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 1], [0, 3], [0, 4], [1, 1], [1, 3]], [[2, 0], [4, 0]], [[3, 2]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 0], [5, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[4, 3], [4, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[4, 3], [4, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 4], [1, 4]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 2], [1, 4], [1, 4]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 2], [1, 4], [1, 4]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[5, 0], [5, 1], [5, 1]]}, {&#34;patt&#34;: [0, 2, 1], 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[0, 4], [0, 4]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 4], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 4], [0, 2], [0, 2], [0, 4], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 2], [0, 4], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 3]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [2, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 0], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 2], [0, 4], [1, 2], [1, 4]], [[2, 1], [3, 0], [5, 0], [5, 1]], [[4, 3]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [2, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 0], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [2, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 0], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 3], [1, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 1], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [1, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [5, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [4, 0], [5, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [5, 0], [5, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 3], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [1, 3], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [1, 1], [1, 3], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [1, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 3], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0], [5, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[4, 0], [4, 0], [5, 0], [5, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: 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&#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 1], [0, 3], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 3], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 0]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 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{&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 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&#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 1], [0, 3], [1, 1], [1, 3]], [[2, 0], [4, 0], [5, 0]], [[3, 2]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[6, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[6, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[6, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [2, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[5, 2], [5, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[5, 2], [5, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 1], [2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 1], [2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [6, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [4, 0], [6, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [6, 0], [6, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[4, 0], [4, 0], [6, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[4, 0], [6, 0], [6, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [2, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 3], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[3, 0], [3, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[3, 0], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[6, 0], [6, 0], [6, 0], [6, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [2, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 1], [2, 3], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [4, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[3, 0], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[6, 0], [6, 0], [6, 0], [6, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[6, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 2]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [2, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 0], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 3], [1, 1], [2, 1], [2, 3]], [[3, 0], [4, 0], [6, 0]], [[5, 2]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 3], [3, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 3], [3, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, 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&#34;obstructions&#34;: [{&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 2]], [[1, 1]], [[2, 0], [3, 0], [3, 3]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 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{&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 0], [3, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [5, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [4, 0], [5, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [5, 0], [5, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[4, 0], [4, 0], [5, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[4, 0], [5, 0], [5, 0]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], 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2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 0]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 2], [0, 4], [1, 1], [2, 0], [4, 1], [5, 0], [6, 0]], [[3, 3]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, 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{&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [2, 0]]}, 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[0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 4], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 4], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 4], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 4], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 4], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 4], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 4], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 4], [0, 2], [0, 2], [0, 4], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 2], [0, 4], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 2], [0, 4]], [[1, 0], [1, 1]], [[2, 3]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], 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[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 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&#34;pos&#34;: [[0, 2], [0, 2], [0, 3], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 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{&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [4, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 0], [4, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 0], [4, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 3], [3, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 3], [3, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[4, 0], [4, 1], [4, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[4, 0], [4, 1], [4, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[4, 0], [4, 2], [4, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[4, 1], [4, 2], [4, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[4, 0], [4, 1], [4, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[4, 0], [4, 2], [4, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[4, 0], [4, 2], [4, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[4, 1], [4, 2], [4, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [4, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [4, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[4, 0], [4, 0], [4, 1], [4, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[4, 0], [4, 0], [4, 2], [4, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[4, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[4, 1], [4, 1], [4, 2], [4, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[4, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [4, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [4, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [4, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[4, 0], [4, 1], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[4, 0], [4, 2], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[4, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[4, 1], [4, 2], [4, 1], [4, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[4, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [3, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 0], [3, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 0], [3, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[3, 0], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[3, 0], [3, 1], [3, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[3, 0], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[3, 1], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 2], [3, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 1], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 1], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 2], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[3, 1], [3, 1], [3, 2], [3, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [3, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [3, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[3, 0], [3, 1], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[3, 0], [3, 2], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[3, 1], [3, 2], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 2], [1, 1], [2, 0], [4, 0], [4, 1], [4, 2]], [[3, 3]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[6, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[6, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[6, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[7, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[7, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[7, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [2, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [4, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 1], [4, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[6, 2], [6, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[6, 2], [6, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[4, 1], [4, 3], [4, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [4, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 3], [2, 3], [4, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 3], [4, 3], [4, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [4, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [3, 1], [4, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 3], [2, 3], [4, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 3], [4, 3], [4, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 1], [3, 1], [4, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[4, 1], [4, 3], [4, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[5, 0], [5, 0], [7, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[5, 0], [7, 0], [7, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [2, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[4, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[4, 1], [4, 1], [4, 3], [4, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[4, 3], [4, 3], [4, 3], [4, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[5, 0], [5, 0], [5, 0], [5, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[7, 0], [7, 0], [7, 0], [7, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [2, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [3, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[4, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[4, 1], [4, 3], [4, 1], [4, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[4, 3], [4, 3], [4, 3], [4, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[5, 0], [5, 0], [5, 0], [5, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[7, 0], [7, 0], [7, 0], [7, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[7, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[6, 2]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [2, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [4, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 0], [4, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[4, 0], [4, 1], [4, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [4, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [2, 1], [4, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [3, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 1], [2, 1], [4, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[4, 0], [4, 1], [4, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[4, 0], [4, 0], [4, 1], [4, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[4, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[4, 0], [4, 1], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[4, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 3], [1, 1], [2, 3], [3, 1], [4, 1], [4, 3]], [[5, 0], [7, 0]], [[6, 2]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 0], [3, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 2], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 2], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [5, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [4, 0], [5, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [5, 0], [5, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[4, 0], [4, 0], [5, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[4, 0], [5, 0], [5, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[5, 0], [5, 0], [5, 0], [5, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [3, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [4, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[5, 0], [5, 0], [5, 0], [5, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 0]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [3, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 0]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 0], [3, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [5, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [4, 0], [5, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [5, 0], [5, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[4, 0], [4, 0], [5, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[4, 0], [5, 0], [5, 0]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 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[[2, 0], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[5, 0], [5, 0], [5, 0], [5, 0]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 2], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 3], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 3], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 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[0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 0]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 0], [3, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [5, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [4, 0], [5, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [5, 0], [5, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[4, 0], [4, 0], [5, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[4, 0], [5, 0], [5, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 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2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 0]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 2], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 3], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 3], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], 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1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], 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0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 1], [0, 2]], [[1, 0], [2, 0], [3, 0]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], 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{&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 1], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 2], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 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[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[3, 0], [3, 1], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[3, 0], [3, 2], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[3, 1], [3, 2], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 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{&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [2, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [2, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [2, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 0], [2, 1], 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{&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 2], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 1], [2, 2], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [3, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 0], [3, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 0], [3, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[3, 0], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[3, 0], [3, 1], [3, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[3, 0], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[3, 1], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 2], [3, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 1], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 1], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 2], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[3, 1], [3, 1], [3, 2], [3, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [3, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [3, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[3, 0], [3, 1], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[3, 0], [3, 2], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[3, 1], [3, 2], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [3, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 0]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [3, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 0], [3, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [5, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [4, 0], [5, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [5, 0], [5, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[4, 0], [4, 0], [5, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[4, 0], [5, 0], [5, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 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2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 0]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [3, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0], [4, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 2]], [[1, 1], [2, 0], [3, 1], [4, 0], [5, 0]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 2], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 3], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 3], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, 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{&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 1], [0, 2]], [[1, 0], [2, 0]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [2, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [2, 0], [2, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [2, 0], [2, 2], [2, 0], [2, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [2, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [2, 0], [2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [2, 0], [2, 1], [2, 0], [2, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [2, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [2, 0], [2, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [2, 0], [2, 2], [2, 0], [2, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [2, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [2, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [2, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 0], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 0], [2, 1], [2, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 0], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 1], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 1], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 2], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 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0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], 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1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [2, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 0], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 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{&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 1], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 2], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 3, 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{&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 1], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 2], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 2], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 0], [3, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[3, 0], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 1], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [3, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[3, 0], [3, 1], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 3]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: 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&#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 1], [0, 2], [0, 3]], [[1, 0], [2, 0]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [2, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [2, 0], [2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [2, 0], [2, 1], [2, 0], [2, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [2, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [2, 0], [2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [2, 0], [2, 1], [2, 0], [2, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: 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[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 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[[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}], [{&#34;patt&#34;: [0], 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&#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 0], [3, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[3, 0], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, 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{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 2]], [[1, 1], [2, 0], [3, 0], [3, 1]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], 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&#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 1], [0, 3], [0, 4]], [[1, 0]], [[2, 2]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], 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[[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [2, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: 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0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [2, 0], [2, 2], [2, 0], [2, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 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{&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [2, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 0], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: 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0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 3], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [2, 3]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [2, 0], [2, 3], [2, 0], [2, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 1], [0, 3], [0, 4], [1, 0], [3, 0], [3, 4], [4, 0]], [[2, 2]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, 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{&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 0], [0, 2], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: 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[2, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [4, 4]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 3], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 1], [2, 3], [2, 3], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[3, 0], [3, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[3, 0], [3, 0], [4, 4], [4, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[3, 0], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[3, 0], [4, 0], [4, 4], [4, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 3, 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{&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 0], [0, 2], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], 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{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], 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1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], 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0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 1], [0, 3], [1, 0], [3, 0]], 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{&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 1], [0, 3], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [2, 3]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [2, 0], [2, 0], [2, 3], [2, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 3], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [2, 3]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [2, 0], [2, 3], [2, 0], [2, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [2, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [3, 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{&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 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[0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 3], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [2, 3]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [2, 0], [2, 3], [2, 0], [2, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 4], [3, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 4], [3, 4]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [3, 4]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 3], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 1], [2, 3], [2, 3], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 4], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [3, 4]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 1], [2, 3], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 1], [2, 3], [2, 3], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[3, 0], [3, 4], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 4]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 4], [3, 0], [3, 4]], [[1, 2]], [[2, 1], [2, 3]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], 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[[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: 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[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;gps&#34;: 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0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 1], [0, 3], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 3], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 0]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 1], [0, 3], [1, 0], [3, 0], [4, 0]], [[2, 2]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [2, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 2], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 2], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [2, 0], [2, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [2, 0], [2, 2], [2, 0], [2, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [2, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 1], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [2, 0], [2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [2, 0], [2, 1], [2, 0], [2, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [2, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 2], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 2], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 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&#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0, 1], 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&#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [2, 2], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [2, 1], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [2, 2], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 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&#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 1, 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[[0, 2], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, 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&#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [2, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 2], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 2], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 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[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [2, 0], [2, 2], [2, 0], [2, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], 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[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 3], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [2, 3]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [2, 0], [2, 3], [2, 0], [2, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [2, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[4, 2], [4, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[4, 2], [4, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 1], [2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [2, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 4], [2, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 1], [2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [5, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [5, 0], [5, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 3], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[5, 0], [5, 0], [5, 0], [5, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 1], [2, 3], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[5, 0], [5, 0], [5, 0], [5, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 4], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 4], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 4], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 4], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 4], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 4], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 4], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 4], [0, 3], [0, 3], [0, 4], [0, 3]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 3], [0, 4], [0, 3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 2]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [2, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 0], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 3], [0, 4], [1, 1], [2, 1], [2, 3]], [[3, 0], [5, 0]], [[4, 2]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 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&#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 2], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 1]], [[1, 0], [1, 2], [2, 0]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [2, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 2], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 2], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 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[0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [2, 0], [2, 2], [2, 0], [2, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], 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[[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [1, 0], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [4, 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{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 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{&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], 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[0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 3], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], 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[0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 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[0, 1], [0, 1], [0, 1], [0, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 1], [0, 2]], [[1, 0], [1, 3], [2, 0]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [2, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 3], [2, 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2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], 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[[0, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 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[0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}], 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{&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 2], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [1, 0], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [1, 0], [1, 2], [1, 0], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 3], [1, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 3], [1, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [1, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [1, 3]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 3]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 3], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 3], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 1], [0, 2], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 3], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 3], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [1, 3]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 3], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 3], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [1, 3]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 3], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 3], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [1, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 3], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 3], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [1, 3]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [1, 3]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [1, 3]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 1], [0, 3], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [1, 3]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [1, 0], [1, 0], [1, 3], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 3], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [1, 3]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [1, 0], [1, 3], [1, 0], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 3]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 1], [0, 2], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 3], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 3], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 3], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 3], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 3], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 3], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 3], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 3], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 1], [0, 3], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 3], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 3], [1, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 3], [1, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [1, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [1, 3]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 3]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], 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[{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 2], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 2], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 1], [0, 2], [0, 3]], [[1, 0], [2, 0]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [3, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [3, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [3, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [3, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 4], [2, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 4], [2, 4]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 3], [3, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 2], [3, 3], [3, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 1], [4, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [4, 1], [4, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[3, 2], [3, 3], [3, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[4, 0], [4, 1], [4, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [3, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [3, 3], [3, 3]]}, 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4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 2], [0, 3], [1, 0], [1, 1], [3, 2], [3, 3], [4, 0], [4, 1]], [[2, 4]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [2, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [2, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [2, 2]]}, 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3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [1, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 3], [1, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [1, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 2], [1, 3], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [2, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [2, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [2, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [2, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 3], [2, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 1], [3, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[3, 0], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [2, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], 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{&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 2], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 0], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 2], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [1, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 3], [1, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [1, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 2], [1, 3], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 3], [1, 2], [1, 3]], [[2, 0], [2, 1]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], 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&#34;pos&#34;: [[3, 0], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [2, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 3], [2, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [2, 3], [2, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [2, 2], [2, 3], [2, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 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[[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 2], [2, 3], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[3, 0], [3, 1], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [2, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [2, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [2, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [2, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 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{&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 2], [2, 2], [2, 3], [2, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 1], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [2, 3], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [3, 1], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [3, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 2], [2, 3], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[3, 0], [3, 1], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [2, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [2, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [2, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [2, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 3], [2, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 1], [3, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[3, 0], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [2, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 3], [2, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [2, 3], [2, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [2, 2], [2, 3], [2, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [2, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [3, 1], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [3, 0], [3, 1], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 2], [2, 2], [2, 3], [2, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 1], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [2, 3], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [2, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [3, 1], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [3, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 2], [2, 3], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[3, 0], [3, 1], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [2, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [2, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [2, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [2, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 1], [3, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[3, 0], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [2, 3], [2, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [2, 2], [2, 3], [2, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [3, 1], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [3, 0], [3, 1], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 2], [2, 2], [2, 3], [2, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 1], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [2, 3], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [3, 1], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [3, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 2], [2, 3], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[3, 0], [3, 1], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [2, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [2, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[3, 0], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [2, 3], [2, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [2, 2], [2, 3], [2, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 2], [2, 2], [2, 3], [2, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 1], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [2, 3], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [3, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 2], [2, 3], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[3, 0], [3, 1], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [2, 1], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [2, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [2, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [2, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [2, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1, 2], 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{&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [2, 3], [2, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [2, 2], [2, 3], [2, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [2, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [3, 1], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [3, 0], [3, 1], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 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{&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [3, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 2], [2, 3], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[3, 0], [3, 1], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 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[[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0, 1], 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&#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [2, 1], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 4], [2, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 4], [2, 4]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 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[0, 3], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, 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&#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 2], [0, 3]], [[1, 1]], [[2, 0], [2, 4]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: 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{&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 2], [1, 3], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], 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1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [2, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [2, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 3], [2, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[3, 0], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [2, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 3], [2, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [2, 3], [2, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [2, 2], [2, 3], [2, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [2, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 2], [2, 2], [2, 3], [2, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 1], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [2, 3], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [2, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [3, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 2], [2, 3], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[3, 0], [3, 1], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 3], [1, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 0], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [1, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 3], [1, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [1, 3], [1, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [1, 2], [1, 3], [1, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [1, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 3], [1, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [1, 3], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [1, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 2], [1, 3], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 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[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 0], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [2, 1], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 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{&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 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0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 2], [0, 3], [1, 2], [1, 3]], [[2, 0], [2, 1]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 0], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 2], [0, 3]], [[1, 1], [2, 0], [2, 1]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [1, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 1], [0, 2], [1, 3]], [[2, 0]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 4], [1, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 4], [1, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 4], [2, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [1, 4]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [2, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 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[[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: 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[0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, 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{&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, 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[[0, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 4], [1, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 4], [1, 4]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 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[[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, 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[0, 1], &#34;pos&#34;: [[0, 1], [0, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 4], [1, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 4], [1, 4]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 5]]}]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [1, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 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0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}], 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{&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [1, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 3], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 1]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [2, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [3, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [4, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 1], [3, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 1], [4, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 3], [3, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[4, 1], [4, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 2], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 2], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 2], [4, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [4, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 1], [4, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 3], [3, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 3], [4, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[4, 1], [4, 1]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [4, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [4, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [2, 1], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [1, 0], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [1, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 1]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 1], [0, 3], [1, 0], [1, 1], [3, 0], [3, 1], [4, 4], [5, 1]], [[2, 2]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 1], [3, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 1], [4, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[4, 1], [4, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 1], [4, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 2], [4, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[4, 1], [4, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [4, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [4, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [2, 1], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 1]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 1], [3, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 1], [4, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[4, 1], [4, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 1], [4, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 2], [4, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[4, 1], [4, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [4, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [4, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 1]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 1], [3, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 1], [4, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[4, 1], [4, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 1], [4, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 2], [4, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[4, 1], [4, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [4, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [4, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [2, 1], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 1]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [2, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [3, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [4, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 1], [3, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 1], [4, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 3], [3, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[4, 1], [4, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 2], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 2], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 2], [4, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [4, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 1], [4, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 3], [3, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 3], [4, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[4, 1], [4, 1]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [4, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 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&#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [1, 0], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [1, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 1]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 1], [3, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 1], [4, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[4, 1], [4, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 1], [4, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 2], [4, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[4, 1], [4, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [4, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [4, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 1]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [2, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [3, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 0], [3, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 1], [3, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 1], [2, 1], [3, 2], [4, 1]], [[1, 0]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 2], [3, 2]]}, 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&#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [4, 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{&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 2]]}, {&#34;patt&#34;: [0, 1], 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{&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}], 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{&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 1], [0, 2]], [[1, 0], [2, 0]], [[3, 3]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [2, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [3, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [4, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 1], [3, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 1], [4, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[4, 1], [4, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [4, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 1], [4, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 2], [4, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[4, 1], [4, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [4, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [4, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [2, 1], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [1, 0], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [1, 0], [1, 1], [1, 0], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 1]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [2, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [3, 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{&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [4, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 1]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [2, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [3, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [4, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 1], [3, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 1], [4, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[4, 1], [4, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [4, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 1], [4, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 2], [4, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[4, 1], [4, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [4, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [4, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [2, 1], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [1, 0], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [1, 0], [1, 1], [1, 0], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 1]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 2], [2, 2], [3, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 2], [2, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[2, 2], [2, 2], [3, 2]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[2, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 2], [2, 2], [3, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 2], [2, 2], [3, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 2], [2, 2], [3, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 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{&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [2, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 2], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 2], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [3, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [2, 2], [3, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [3, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 2], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [3, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [3, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 2], [2, 0], [2, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [3, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [2, 0], [2, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[2, 2], [2, 0], [2, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [3, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [2, 0], [2, 2], [2, 0], [2, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[2, 2], [2, 0], [2, 2], [2, 0], [2, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[1, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 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1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], 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0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [1, 0], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [1, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 1], [1, 0], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 2], [2, 0], [2, 2], [3, 2]], [[1, 1]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, 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&#34;pos&#34;: [[2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[2, 2], [2, 2], [3, 2]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[2, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 2], [2, 2], [3, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 2], [2, 2], [3, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 2], [2, 2], [3, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 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{&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [2, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 2], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 2], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [3, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [2, 2], [3, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [3, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 2], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [3, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [3, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 2], [2, 0], [2, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [3, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [2, 0], [2, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[2, 2], [2, 0], [2, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [3, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [2, 0], [2, 2], [2, 0], [2, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[2, 2], [2, 0], [2, 2], [2, 0], [2, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[1, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [1, 0], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [1, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 1], [1, 0], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 2], [2, 0], [2, 2], [3, 2]], [[1, 1]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 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[3, 0], [3, 4], [3, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [2, 4]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [3, 4]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [4, 4]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 4], [2, 1], [2, 3], [2, 1], [2, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 4], [2, 1], [2, 3], [2, 3], [2, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 4], [2, 1], [2, 4], [2, 1], [2, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 4], [2, 1], [2, 4], [2, 3], [2, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 4], [3, 0], [3, 4], [3, 0], [3, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[2, 3], [2, 1], [2, 3], [2, 1], [2, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[2, 3], [2, 1], [2, 3], [2, 3], [2, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[2, 4], [2, 1], [2, 3], [2, 1], [2, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[2, 4], [2, 1], [2, 3], [2, 3], [2, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[2, 4], [2, 1], [2, 4], [2, 1], [2, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[2, 4], [2, 1], [2, 4], [2, 3], [2, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[2, 4], [3, 0], [3, 4], [3, 0], [3, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[3, 4], [3, 0], [3, 4], [3, 0], [3, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 4]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 4]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 3], [1, 3], [2, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 3], [1, 3], [3, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 3], [2, 3], [3, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 3], [2, 3], [3, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 3], [1, 3], [2, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 3], [1, 3], [3, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 3], [2, 3], [3, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 3], [2, 3], [3, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3]]}, 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[1, 2], [1, 2], [1, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [1, 1], [1, 3], [1, 1], [1, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [1, 1], [1, 3], [1, 2], [1, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [2, 0], [2, 3], [2, 0], [2, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[1, 2], [1, 1], [1, 2], [1, 1], [1, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[1, 2], [1, 1], [1, 2], [1, 2], [1, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[1, 3], [1, 1], [1, 2], [1, 1], [1, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[1, 3], [1, 1], [1, 2], [1, 2], [1, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[1, 3], [1, 1], [1, 3], [1, 1], [1, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[1, 3], [1, 1], [1, 3], [1, 2], [1, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[1, 3], [2, 0], [2, 3], [2, 0], [2, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[2, 3], [2, 0], [2, 3], [2, 0], [2, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 4], [2, 1], [2, 3], [2, 4], [3, 0], [3, 4], [4, 4]], [[1, 2]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 3], [2, 3], [3, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 3], [2, 3], [3, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[2, 3], [2, 3], [3, 3]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[2, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 3], [2, 3], [3, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [2, 0, 1], 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{&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [2, 3]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [3, 3]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 3], [2, 3], [2, 0], [2, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [2, 3]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [3, 3]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [2, 0], [2, 0], [2, 3], [2, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[2, 3], [2, 0], [2, 0], [2, 3], [2, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [2, 3]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [3, 3]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [2, 0], [2, 3], [2, 0], [2, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[2, 3], [2, 0], [2, 3], [2, 0], [2, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[1, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, 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[0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [1, 0], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [1, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 1], [1, 0], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 3], [2, 0], [2, 3], [3, 3]], [[1, 1], [1, 2]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 3], [1, 3], [2, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 3], [1, 3], [3, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 3], [2, 3], [3, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 3], [2, 3], [3, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 3], [1, 3], [2, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 3], [1, 3], [3, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 3], [2, 3], [3, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 3], [2, 3], [3, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[1, 3], [1, 3], [2, 3]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[1, 3], [1, 3], [3, 3]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[1, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[1, 3], [2, 3], [3, 3]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[1, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[2, 3], [2, 3], [3, 3]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[2, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [1, 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[0, 2], [0, 2], [3, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 2], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [3, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [3, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 2], [2, 0], [2, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [3, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [2, 0], [2, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[1, 2], [2, 0], [2, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[2, 2], [2, 0], [2, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [3, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [2, 0], [2, 2], [2, 0], [2, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[1, 2], [2, 0], [2, 2], [2, 0], [2, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[2, 2], [2, 0], [2, 2], [2, 0], [2, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, 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3], [3, 3]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [1, 1], [1, 3], [1, 1], [1, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [1, 1], [1, 3], [1, 2], [1, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [2, 0], [2, 3], [2, 0], [2, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[1, 3], [1, 1], [1, 3], [1, 1], [1, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[1, 3], [1, 1], [1, 3], [1, 2], [1, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[1, 3], [2, 0], [2, 3], [2, 0], [2, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[2, 3], [2, 0], [2, 3], [2, 0], [2, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 2], [1, 2], [2, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 2], [1, 2], [3, 2]]}, 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&#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [3, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [2, 0], [2, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[1, 2], [2, 0], [2, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[2, 2], [2, 0], [2, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [3, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [2, 0], [2, 2], [2, 0], [2, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[1, 2], [2, 0], [2, 2], [2, 0], [2, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[2, 2], [2, 0], [2, 2], [2, 0], [2, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 1], [1, 1], [3, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 1], [2, 1], [3, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 1], [2, 1], [3, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [2, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 1], [2, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [3, 1]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[1, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[1, 1], [2, 1], [3, 1]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[1, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [3, 1]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[2, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [3, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [2, 1], [3, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 1], [2, 1], [3, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 1], [1, 1], [3, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 1], [2, 1], [3, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 1], [1, 1], [3, 1]]}, {&#34;patt&#34;: [2, 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3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [2, 1], [3, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [3, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 1], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [3, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [3, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 1], [2, 0], [2, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [3, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [2, 0], [2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [2, 0], [2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[2, 1], [2, 0], [2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [3, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [2, 0], [2, 1], [2, 0], [2, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [2, 0], [2, 1], [2, 0], [2, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[2, 1], [2, 0], [2, 1], [2, 0], [2, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 2], [1, 2], [2, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 2], [1, 2], [3, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 2], [2, 2], [3, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 2], [2, 2], [3, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 2], [1, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 2], [1, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 2], [2, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 2], [2, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[1, 2], [1, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[1, 2], [1, 2], [3, 2]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[1, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[1, 2], [2, 2], [3, 2]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[1, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[2, 2], [2, 2], [3, 2]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[2, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 2], [1, 2], [2, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 2], [1, 2], [3, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 2], [2, 2], [3, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 2], [2, 2], [3, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 2], [1, 2], [2, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 2], [1, 2], [3, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 2], [2, 2], [3, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 2], [1, 2], [2, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 2], [1, 2], [3, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 2], [2, 2], [3, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 2], [2, 2], [3, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [1, 2], [2, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [1, 2], [3, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [2, 2], [3, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 2], [1, 2], [2, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 2], [1, 2], [3, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 2], [2, 2], [3, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 2], [2, 2], [3, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: 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{&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [3, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 2], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [3, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [3, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 2], [2, 0], [2, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [3, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [2, 0], [2, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[1, 2], [2, 0], [2, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[2, 2], [2, 0], [2, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [3, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [2, 0], [2, 2], [2, 0], [2, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[1, 2], [2, 0], [2, 2], [2, 0], [2, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[2, 2], [2, 0], [2, 2], [2, 0], [2, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], 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&#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [1, 3]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [2, 3]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [3, 3]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 3], [1, 3], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 3], [1, 3], [1, 2], [1, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 3], [2, 3], [2, 0], [2, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [1, 3]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [2, 3]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [3, 3]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [1, 1], [1, 1], [1, 3], [1, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [1, 1], [1, 2], [1, 3], [1, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [2, 0], [2, 0], [2, 3], [2, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[1, 3], [1, 1], [1, 1], [1, 3], [1, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[1, 3], [1, 1], [1, 2], [1, 3], [1, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[1, 3], [2, 0], [2, 0], [2, 3], [2, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[2, 3], [2, 0], [2, 0], [2, 3], [2, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [1, 3]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [2, 3]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [3, 3]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [1, 1], [1, 3], [1, 1], [1, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [1, 1], [1, 3], [1, 2], [1, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [2, 0], [2, 3], [2, 0], [2, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[1, 3], [1, 1], [1, 3], [1, 1], [1, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[1, 3], [1, 1], [1, 3], [1, 2], [1, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[1, 3], [2, 0], [2, 3], [2, 0], [2, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[2, 3], [2, 0], [2, 3], [2, 0], [2, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 2], [1, 2], [2, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 2], [1, 2], [3, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 2], [2, 2], [3, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 2], [2, 2], [3, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 2], [1, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 2], [1, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 2], [2, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 2], [2, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[1, 2], [1, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[1, 2], [1, 2], [3, 2]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[1, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 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2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [3, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [1, 1], [1, 2], [1, 1], [1, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [2, 0], [2, 2], [2, 0], [2, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[1, 2], [1, 1], [1, 2], [1, 1], [1, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[1, 2], [2, 0], [2, 2], [2, 0], [2, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[2, 2], [2, 0], [2, 2], [2, 0], [2, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 3], [1, 3], [2, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 3], [1, 3], [3, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 3], [2, 3], [3, 3]]}, {&#34;patt&#34;: [0, 1, 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3], [2, 0], [2, 3], [2, 0], [2, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[2, 3], [2, 0], [2, 3], [2, 0], [2, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: 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&#34;obstructions&#34;: [{&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 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0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, 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{&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 2], [2, 0], [2, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [2, 0], [2, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[1, 2], [2, 0], [2, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[2, 2], [2, 0], [2, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [2, 0], [2, 2], [2, 0], [2, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[1, 2], [2, 0], [2, 2], [2, 0], [2, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[2, 2], [2, 0], [2, 2], [2, 0], [2, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[1, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 1], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 1], [2, 0], [2, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [2, 0], [2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [2, 0], [2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[2, 1], [2, 0], [2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [2, 0], [2, 1], [2, 0], [2, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [2, 0], [2, 1], [2, 0], [2, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[2, 1], [2, 0], [2, 1], [2, 0], [2, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: 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2], [0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [2, 0], [2, 2], [2, 0], [2, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[1, 2], [2, 0], [2, 2], [2, 0], [2, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[2, 2], [2, 0], [2, 2], [2, 0], [2, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 1], [0, 2]], [[1, 0], [2, 0]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 5]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 5], [1, 5]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 4], [2, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 5], [1, 5]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 5], [2, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 4], [2, 4]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [1, 5]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [2, 4]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 3], [1, 5]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 3], [2, 4]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 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3], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, 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&#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 1], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 1], [2, 0], [2, 0]]}, {&#34;patt&#34;: [4, 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{&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[2, 1], [2, 0], [2, 1], [2, 0], [2, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 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{&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[1, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [2, 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[0], &#34;pos&#34;: [[2, 1]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 2], [1, 2], [2, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 1, 2], 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[2, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[1, 2], [2, 0], [2, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[2, 2], [2, 0], [2, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [2, 0], [2, 2], [2, 0], [2, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[1, 2], [2, 0], [2, 2], [2, 0], [2, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[2, 2], [2, 0], [2, 2], [2, 0], [2, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 2], [1, 2], [2, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 2], [1, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[1, 2], [1, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[1, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 2], [1, 2], [2, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 2], [1, 2], [2, 2]]}, {&#34;patt&#34;: [2, 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1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 2], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 2], [2, 0], [2, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[1, 2], [2, 0], [2, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[2, 2], [2, 0], [2, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], 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&#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 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[0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [1, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [1, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], 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2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 1], [0, 2], [0, 3]], [[1, 0], [2, 0]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 4], [1, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 4], [1, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 4], [2, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [1, 4]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [2, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 4], [1, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 4], [1, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 4], [2, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [1, 4]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [2, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 4], [1, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 4], [1, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 4], [2, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [1, 4]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [2, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 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&#34;pos&#34;: [[1, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, 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[0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 5]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 5], [1, 5]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 4], [2, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 5], [1, 5]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 5], [2, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 4], [2, 4]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [1, 5]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [2, 4]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 3], [1, 5]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 3], [2, 4]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 3]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [1, 5]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [1, 5]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 2], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 3], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 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[0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 3], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 3], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[1, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 1], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 1], [2, 0], [2, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [2, 0], [2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [2, 0], [2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[2, 1], [2, 0], [2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [2, 0], [2, 1], [2, 0], [2, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [2, 0], [2, 1], [2, 0], [2, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[2, 1], [2, 0], [2, 1], [2, 0], [2, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [1, 0], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [1, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 1], [1, 0], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[1, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 1], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 1], [2, 0], [2, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [2, 0], [2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [2, 0], [2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[2, 1], [2, 0], [2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [2, 0], [2, 1], [2, 0], [2, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [2, 0], [2, 1], [2, 0], [2, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[2, 1], [2, 0], [2, 1], [2, 0], [2, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 2], [1, 2], [2, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 2], [1, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[1, 2], [1, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[1, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 2], [1, 2], [2, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 2], [1, 2], [2, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 2], [1, 2], [2, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [1, 2], [2, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 2], [1, 2], [2, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 1], [0, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 1], [0, 2], [1, 2], [2, 2]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 1], [0, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 2], [1, 2], [2, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 1], [0, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 1], [0, 2], [1, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 1], [0, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [1, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [1, 2]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [2, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [1, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [1, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 2], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 2], [2, 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{&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [1, 0], [1, 2], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[1, 2], [1, 0], [1, 2], [1, 0], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 2], [1, 2], [2, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: 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{&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[1, 2], [2, 0], [2, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[2, 2], [2, 0], [2, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [2, 0], [2, 2], [2, 0], [2, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[1, 2], [2, 0], [2, 2], [2, 0], [2, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[2, 2], [2, 0], [2, 2], [2, 0], [2, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [1, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: 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&#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 4], [1, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 4], [1, 4]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [1, 4]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 3], [1, 4]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 3]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [1, 4]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [1, 4]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 2], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 3], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 3], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 3], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 3], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 3], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 3], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 4], [1, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 4], [1, 4]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [1, 4]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 3], [1, 4]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 3]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [1, 4]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [1, 4]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 2], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 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{&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 3], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 4], [1, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 4], [1, 4]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [1, 4]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 3], [1, 4]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 3]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [1, 4]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [1, 4]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 2], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 3], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 3], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 4, 3, 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{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 2], [2, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 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&#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 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&#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 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[[0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], 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1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [2, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 4], [1, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 4], [1, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 4], [2, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [1, 4]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [2, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [2, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 4], [1, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 4], [1, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 4], [2, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [1, 4]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [2, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 4], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 3], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 3], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 4], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 4], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [2, 3], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 4], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 4], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 4], [1, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 4], [1, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 4], [2, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [1, 4]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [2, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 4], [1, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 4], [1, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 4], [2, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [1, 4]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [2, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 4], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 3], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 3], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 4], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 4], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [2, 3], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 4], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 4], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 5]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 5], [1, 5]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 4], [2, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 5], [1, 5]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 5], [2, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 4], [2, 4]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [1, 5]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [2, 4]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 3], [1, 5]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 3], [2, 4]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 3]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [1, 5]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 2], [0, 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[0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 5]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 5], [1, 5]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 4], [2, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 5], [1, 5]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 5], [2, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 4], [2, 4]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [1, 5]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [2, 4]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 3], [1, 5]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 3], [2, 4]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 3]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [1, 5]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [1, 5]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 2], [0, 3], [0, 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1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 3], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 3], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 3], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 4], [2, 4], [2, 4]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 4], [2, 4], [3, 4]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 4], [2, 4], [4, 4]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 4], [3, 4], [3, 4]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 4], [3, 4], [4, 4]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 4], [4, 4], [4, 4]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[3, 4], [3, 4], [3, 4]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[3, 4], [3, 4], [4, 4]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[3, 4], [4, 4], [4, 4]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[4, 4], [4, 4], [4, 4]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 4], [2, 4], [2, 4]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 4], [2, 4], [3, 4]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 4], [2, 4], [4, 4]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 4], [3, 4], [3, 4]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 4], [3, 4], [4, 4]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 4], [4, 4], [4, 4]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 4], [3, 4], [3, 4]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 4], [3, 4], [4, 4]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 4], [4, 4], [4, 4]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[4, 4], [4, 4], [4, 4]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[2, 4], [2, 4], [2, 4]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[2, 4], [2, 4], [3, 4]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[2, 4], [2, 4], [4, 4]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[2, 4], [3, 4], [3, 4]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[2, 4], [3, 4], [4, 4]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[2, 4], [4, 4], [4, 4]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[3, 4], [3, 4], [3, 4]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[3, 4], [3, 4], [4, 4]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[3, 4], [4, 4], [4, 4]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[4, 4], [4, 4], [4, 4]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 4], [2, 4], [2, 4]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 4], [2, 4], [3, 4]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 4], [2, 4], [4, 4]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 4], [3, 4], [3, 4]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 4], [3, 4], [4, 4]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 4], [4, 4], [4, 4]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 4], [3, 4], [3, 4]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 4], [3, 4], [4, 4]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 4], [4, 4], [4, 4]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[4, 4], [4, 4], [4, 4]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 4], [2, 4], [2, 4]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 4], [2, 4], [3, 4]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 4], [2, 4], [4, 4]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 4], [3, 4], [3, 4]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 4], [3, 4], [4, 4]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 4], [4, 4], [4, 4]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 4], [2, 4], [2, 4]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 4], [2, 4], [3, 4]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 4], [2, 4], [4, 4]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 4], [3, 4], [3, 4]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 4], [3, 4], [4, 4]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 4], [4, 4], [4, 4]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[3, 4], [3, 4], [3, 4]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[3, 4], [3, 4], [4, 4]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[3, 4], [4, 4], [4, 4]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[4, 4], [4, 4], [4, 4]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 4], [2, 4], [2, 4]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 4], [2, 4], [3, 4]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 4], [2, 4], [4, 4]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 4], [3, 4], [3, 4]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 4], [3, 4], [4, 4]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 4], [4, 4], [4, 4]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 4], [2, 4], [2, 4]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 4], [2, 4], [3, 4]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 4], [2, 4], [4, 4]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 4], [3, 4], [3, 4]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 4], [3, 4], [4, 4]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 4], [4, 4], [4, 4]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 4], [3, 4], [3, 4]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 4], [3, 4], [4, 4]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 4], [4, 4], [4, 4]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[4, 4], [4, 4], [4, 4]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [0, 4]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 1], [0, 3], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 1], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 1], [0, 4], [0, 4], [2, 4]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 1], [0, 4], [0, 4], [3, 4]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 1], [0, 4], [0, 4], [4, 4]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 1], [0, 4], [2, 4], [2, 4]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 1], [0, 4], [2, 4], [3, 4]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 1], [0, 4], [2, 4], [4, 4]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 1], [0, 4], [3, 4], [3, 4]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 1], [0, 4], [3, 4], [4, 4]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 1], [0, 4], [4, 4], [4, 4]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 3], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 3], [0, 4], [0, 4], [2, 4]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 3], [0, 4], [0, 4], [3, 4]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 3], [0, 4], [0, 4], [4, 4]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 3], [0, 4], [2, 4], [2, 4]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 3], [0, 4], [2, 4], [3, 4]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 3], [0, 4], [2, 4], [4, 4]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 3], [0, 4], [3, 4], [3, 4]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 3], [0, 4], [3, 4], [4, 4]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 3], [0, 4], [4, 4], [4, 4]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 3], [0, 4], [0, 3]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 3], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 4], [0, 4], [2, 4]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 4], [0, 4], [3, 4]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 4], [0, 4], [4, 4]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 4], [2, 4], [2, 4]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 4], [2, 4], [3, 4]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 4], [2, 4], [4, 4]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 4], [3, 4], [3, 4]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 4], [3, 4], [4, 4]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 4], [4, 4], [4, 4]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 3], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 3], [0, 4], [0, 4], [2, 4]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 3], [0, 4], [0, 4], [3, 4]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 3], [0, 4], [0, 4], [4, 4]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 3], [0, 4], [2, 4], [2, 4]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 3], [0, 4], [2, 4], [3, 4]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 3], [0, 4], [2, 4], [4, 4]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 3], [0, 4], [3, 4], [3, 4]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 3], [0, 4], [3, 4], [4, 4]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 3], [0, 4], [4, 4], [4, 4]]}, {&#34;patt&#34;: [0, 2, 1, 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[3, 0], [3, 3], [3, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 3], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [1, 3]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [2, 3]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [3, 3]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [3, 0], [3, 3], [3, 0], [3, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[1, 3], [3, 0], [3, 3], [3, 0], [3, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[2, 3], [3, 0], [3, 3], [3, 0], [3, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[3, 3], [3, 0], [3, 3], [3, 0], [3, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 1], [0, 3], [0, 4], [2, 4], [3, 4], [4, 0], [4, 4]], [[1, 2]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 4], [1, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 4], [1, 4]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [1, 4]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 3], [1, 4]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 3]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [1, 4]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [1, 4]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 2], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 3], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 3], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 3], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 3], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 3], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 3], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 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[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, 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[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [2, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 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0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 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{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [2, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 4], [2, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 4], [2, 4]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [2, 4]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 3], [2, 4]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 3]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 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0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 4], [2, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 4], [2, 4]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [2, 4]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 3], [2, 4]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 3]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 2], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 2], [0, 1]]}, 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[0, 3], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], 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&#34;pos&#34;: [[0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [1, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 4], [1, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 4], [1, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 4], [2, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [1, 4]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [2, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 4], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 3], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 3], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 4], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 4], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [2, 3], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 4], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 4], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 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{&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 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[2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 3], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 3], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 3], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 5]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 5], [1, 5]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 4], [2, 4]]}, 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{&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: 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{&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 4], [1, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 4], [1, 4]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 5]]}]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [3, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [3, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 1], [3, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 4], [3, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [3, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], 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0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 4]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [2, 1]]}, {&#34;patt&#34;: [0, 1], 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{&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 1], [0, 3], [1, 1], [3, 0], [3, 1], [3, 4]], [[2, 2]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: 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{&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [3, 0], [3, 2], [3, 0], [3, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[1, 2], [3, 0], [3, 2], [3, 0], [3, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[2, 2], [3, 0], [3, 2], [3, 0], [3, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[3, 2], [3, 0], [3, 2], [3, 0], [3, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 3], [1, 3], [2, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 3], [1, 3], [3, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 3], [2, 3], [3, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 3], [2, 3], [3, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 3], [1, 3], [2, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 3], [1, 3], [3, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 3], [2, 3], [3, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 3], [2, 3], [3, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[1, 3], [1, 3], [2, 3]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[1, 3], [1, 3], [3, 3]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[1, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[1, 3], [2, 3], [3, 3]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[1, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[2, 3], [2, 3], [3, 3]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[2, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 3], [1, 3], [2, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 3], [1, 3], [3, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 3], [2, 3], [3, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 3], [2, 3], [3, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 3], [1, 3], [2, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 3], [1, 3], [3, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 3], [2, 3], [3, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 3], [1, 3], [2, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 3], [1, 3], [3, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 3], [2, 3], [3, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 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3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 3], [2, 3], [3, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 3]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 1], [0, 2], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [1, 3]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [2, 3]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [3, 3]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 1], [0, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 1], [0, 3], [1, 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{&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 2], [0, 3], [2, 3], [3, 3]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 2], [0, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [1, 3]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [2, 3]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [3, 3]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 3], [1, 3], [2, 3]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 3], [1, 3], [3, 3]]}, {&#34;patt&#34;: [0, 1, 3, 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&#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [1, 3]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 3], [0, 4], [0, 3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 5]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 1], [0, 2], [0, 3], [0, 5], [1, 3], [3, 0], [3, 3], [3, 6]], [[2, 4]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 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[[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], 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&#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], 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0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 1], [0, 2], [2, 2]], [[1, 0]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 4], [2, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 4], [2, 4]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 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{&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 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[0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}]], 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{&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 1], [0, 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[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: 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1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], 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&#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [2, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [2, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 3], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 3], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [2, 3], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: 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2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 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[0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [2, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [2, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 1], [2, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 2], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 2], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 3], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: 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{&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 2], [1, 2], [2, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 2], [1, 2], [3, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 2], [2, 2], [3, 2]]}, {&#34;patt&#34;: 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[0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [3, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[3, 0], [3, 2], [3, 0], [3, 2], [3, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [3, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[3, 0], [3, 2], [3, 2], [3, 0], [3, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [3, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [3, 0], [3, 0], [3, 2], [3, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[1, 2], [3, 0], [3, 0], [3, 2], [3, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[2, 2], [3, 0], [3, 0], [3, 2], [3, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[3, 2], [3, 0], [3, 0], [3, 2], [3, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [3, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [3, 0], [3, 2], [3, 0], [3, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[1, 2], [3, 0], [3, 2], [3, 0], [3, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[2, 2], [3, 0], [3, 2], [3, 0], [3, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[3, 2], [3, 0], [3, 2], [3, 0], [3, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 1], [1, 1], [3, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 1], [2, 1], [3, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 1], [2, 1], [3, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [2, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 1], [2, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [3, 1]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[1, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[1, 1], [2, 1], [3, 1]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[1, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [3, 1]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[2, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [3, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [2, 1], [3, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 1], [2, 1], [3, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 1], [1, 1], [3, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 1], [2, 1], [3, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 1], [1, 1], [3, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 1], [2, 1], [3, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 1], [2, 1], [3, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [1, 1], [3, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [2, 1], [3, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 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{&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [2, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 1], [3, 1], [3, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 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&#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [3, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [3, 0], [3, 0], [3, 1], [3, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [3, 0], [3, 0], [3, 1], [3, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[2, 1], [3, 0], [3, 0], [3, 1], [3, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[3, 1], [3, 0], [3, 0], [3, 1], [3, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [3, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [3, 0], [3, 1], [3, 0], [3, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [3, 0], [3, 1], [3, 0], [3, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[2, 1], [3, 0], [3, 1], [3, 0], [3, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[3, 1], [3, 0], [3, 1], [3, 0], [3, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 2], [1, 2], 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{&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 2], [2, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[1, 2], [1, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[1, 2], [1, 2], [3, 2]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[1, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[1, 2], [2, 2], [3, 2]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[1, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[2, 2], [2, 2], [3, 2]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[2, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 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[0, 2], [0, 2], [3, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[3, 0], [3, 2], [3, 0], [3, 2], [3, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [3, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[3, 0], [3, 2], [3, 2], [3, 0], [3, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 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[[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 3], [1, 3], [2, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 3], [1, 3], [3, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 3], [2, 3], [3, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 3], [2, 3], [3, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 3], [1, 3], [2, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 3], [1, 3], [3, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 3], [2, 3], [3, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 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{&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 1], [0, 2], [0, 3]], [[1, 0], [2, 0]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 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3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [1, 3]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 3], [0, 4], [0, 3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 5]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 4], [2, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 4], [2, 4]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 2], [0, 3]], [[1, 1]], [[2, 0], [2, 4], [3, 0]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [2, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 3], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 3], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [2, 3], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 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[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 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{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 3], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 3], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: 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{&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [2, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 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{&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 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&#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [2, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [2, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 1], [2, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 2], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 2], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 3], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [2, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [2, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 1], [2, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [0, 1]]}, 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1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: 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[0, 3], [0, 3], [0, 3]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}]], 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[[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], 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[[0, 1], [0, 3], [1, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 3], [2, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 3], [1, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 3], [2, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [1, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [2, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [1, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [2, 3]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 3]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], 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[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 1], [0, 3], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [1, 3]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 3], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [1, 3]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 3], [1, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 4], [1, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 4], [1, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 4], [1, 4]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 3], [1, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 3], [1, 4]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 3], [1, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 3], [1, 4]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [1, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [1, 3]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 3]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [1, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 3], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [1, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 1], [0, 2], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 3], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 3], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 3], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 3], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 3], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 3], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 3], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 3], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 1], [0, 3], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 3], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 2], [0, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 4], [1, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 4], [1, 4]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], 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{&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 3], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], 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&#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 3], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 3]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 1], [0, 2], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 3], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 3], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 3], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 3], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 3], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 3], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 3], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 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{&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 1], [0, 3], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 3], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}]], 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&#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 1], [0, 2], [0, 3], [2, 3]], [[1, 0]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: 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[0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 1], [0, 3], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 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{&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}]], &#34;assumptions&#34;: []}, 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[[2, 2]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 2], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, 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[[0, 1], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 3], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 3], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.row_and_col_separation&#34;, &#34;strategy_class&#34;: &#34;RowColumnSeparationStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;inferrable&#34;: true, &#34;possibly_empty&#34;: false, &#34;workable&#34;: true}}]}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;EquivalencePathRule&#34;, &#34;rules&#34;: [{&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 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1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_placement&#34;, &#34;strategy_class&#34;: &#34;RequirementPlacementStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}], &#34;indices&#34;: [0], &#34;direction&#34;: 0, &#34;own_col&#34;: true, &#34;own_row&#34;: true, &#34;include_empty&#34;: false}}]}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;EquivalencePathRule&#34;, &#34;rules&#34;: [{&#34;class_module&#34;: 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{&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [3, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[3, 0], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 1], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[3, 0], [3, 1], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.row_and_col_separation&#34;, &#34;strategy_class&#34;: &#34;RowColumnSeparationStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;inferrable&#34;: true, &#34;possibly_empty&#34;: false, &#34;workable&#34;: true}}, &#34;idx&#34;: 0}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;ReverseRule&#34;, &#34;original_rule&#34;: {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [2, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 0], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 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{&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], 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{&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], 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&#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [3, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [3, 2], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], 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{&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 0], [2, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: 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0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_placement&#34;, &#34;strategy_class&#34;: &#34;RequirementPlacementStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], &#34;indices&#34;: [0], &#34;direction&#34;: 2, &#34;own_col&#34;: true, &#34;own_row&#34;: true, &#34;include_empty&#34;: false}}, &#34;idx&#34;: 0}]}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;EquivalencePathRule&#34;, &#34;rules&#34;: [{&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;ReverseRule&#34;, &#34;original_rule&#34;: {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: 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[[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [3, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 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{&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 0], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.row_and_col_separation&#34;, &#34;strategy_class&#34;: &#34;RowColumnSeparationStrategy&#34;, 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&#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;EquivalencePathRule&#34;, &#34;rules&#34;: [{&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_placement&#34;, &#34;strategy_class&#34;: &#34;RequirementPlacementStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}], &#34;indices&#34;: [0], &#34;direction&#34;: 0, &#34;own_col&#34;: true, &#34;own_row&#34;: true, &#34;include_empty&#34;: false}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [2, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 0], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.row_and_col_separation&#34;, &#34;strategy_class&#34;: &#34;RowColumnSeparationStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;inferrable&#34;: true, &#34;possibly_empty&#34;: false, &#34;workable&#34;: true}}]}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;EquivalencePathRule&#34;, &#34;rules&#34;: [{&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;ReverseRule&#34;, &#34;original_rule&#34;: {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [2, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 2], [2, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 0], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 2], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 2], [1, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [2, 2], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [2, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 2], [1, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [2, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [3, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[4, 1], [4, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[4, 1], [4, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 0], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 0], [2, 2], [3, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 0], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[3, 0], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [2, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 2], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [3, 2], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [3, 0], [3, 2], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 2], [2, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 2], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 2], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [3, 2], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [3, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 2], [2, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[3, 0], [3, 2], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 1]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.row_and_col_separation&#34;, &#34;strategy_class&#34;: &#34;RowColumnSeparationStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;inferrable&#34;: true, &#34;possibly_empty&#34;: false, &#34;workable&#34;: true}}, &#34;idx&#34;: 0}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;ReverseRule&#34;, &#34;original_rule&#34;: {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [2, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 2], [2, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 0], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 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[1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 2], [1, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [2, 2], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [2, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 2], [1, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_placement&#34;, &#34;strategy_class&#34;: &#34;RequirementPlacementStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}], &#34;indices&#34;: [0], &#34;direction&#34;: 0, &#34;own_col&#34;: true, &#34;own_row&#34;: true, &#34;include_empty&#34;: false}}, &#34;idx&#34;: 0}]}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;EquivalencePathRule&#34;, &#34;rules&#34;: [{&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [1, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1, 2], 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{&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 3], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_placement&#34;, &#34;strategy_class&#34;: &#34;RequirementPlacementStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}], &#34;indices&#34;: [0], &#34;direction&#34;: 0, &#34;own_col&#34;: true, &#34;own_row&#34;: true, &#34;include_empty&#34;: false}}, {&#34;class_module&#34;: 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&#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 3], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 3], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 3], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 3], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 1], [0, 3], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 3], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 3], [1, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 1], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [1, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 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{&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 1], [0, 3], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 3], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.row_and_col_separation&#34;, &#34;strategy_class&#34;: &#34;RowColumnSeparationStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;inferrable&#34;: true, &#34;possibly_empty&#34;: false, &#34;workable&#34;: true}}]}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;EquivalencePathRule&#34;, &#34;rules&#34;: [{&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], 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{&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 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{&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 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{&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 1], [0, 3], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 3], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_placement&#34;, &#34;strategy_class&#34;: &#34;RequirementPlacementStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}], &#34;indices&#34;: [0], &#34;direction&#34;: 0, &#34;own_col&#34;: true, &#34;own_row&#34;: true, &#34;include_empty&#34;: false}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 3], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 3], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 3], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 3], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 1], [0, 3], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 3], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 3], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 3], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 3], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 3], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 1], [0, 3], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 3], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.row_and_col_separation&#34;, &#34;strategy_class&#34;: &#34;RowColumnSeparationStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;inferrable&#34;: true, &#34;possibly_empty&#34;: false, &#34;workable&#34;: true}}]}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;EquivalencePathRule&#34;, &#34;rules&#34;: [{&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;ReverseRule&#34;, &#34;original_rule&#34;: {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0], [2, 0]]}, 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0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [2, 0], [2, 0], [2, 3], [2, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [2, 0], [2, 2], [2, 2], [2, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [2, 0], [2, 2], [2, 3], [2, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[2, 2], [2, 0], [2, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[2, 2], [2, 0], [2, 2], [2, 2], [2, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[2, 3], [2, 0], [2, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[2, 3], [2, 0], [2, 2], [2, 2], [2, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [2, 3]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [2, 0], [2, 2], [2, 0], [2, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [2, 0], [2, 2], [2, 2], [2, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [2, 0], [2, 3], [2, 0], [2, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [2, 0], [2, 3], [2, 2], [2, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[2, 2], [2, 0], [2, 2], [2, 0], [2, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[2, 2], [2, 0], [2, 2], [2, 2], [2, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[2, 3], [2, 0], [2, 2], [2, 0], [2, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[2, 3], [2, 0], [2, 2], [2, 2], [2, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_placement&#34;, &#34;strategy_class&#34;: &#34;RequirementPlacementStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], &#34;indices&#34;: [0], &#34;direction&#34;: 2, &#34;own_col&#34;: true, &#34;own_row&#34;: true, &#34;include_empty&#34;: false}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 3], [3, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 3], [3, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 3], [3, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 3], [3, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [3, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [3, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 3], [2, 2]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[2, 2], [2, 3], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 3], [2, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 2], [2, 3], [2, 2], [2, 2]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[0, 3], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[0, 3], [2, 2], [2, 3], [2, 2]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[2, 3], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[0, 3], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[0, 3], [2, 3], [2, 2], [2, 2]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[2, 3], [2, 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&#34;pos&#34;: [[2, 0], [2, 2], [2, 2], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 3], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 3], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [2, 3]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 2], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 3], [2, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 3], [2, 2], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [2, 3]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 2], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 2], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 3], [2, 2], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 3], [2, 2], [2, 2], [2, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [2, 3]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [2, 0], [2, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [2, 0], [2, 0], [2, 3], [2, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [2, 0], [2, 2], [2, 2], [2, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [2, 0], [2, 2], [2, 3], [2, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[2, 2], [2, 0], [2, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[2, 2], [2, 0], [2, 2], [2, 2], [2, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[2, 3], [2, 0], [2, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[2, 3], [2, 0], [2, 2], [2, 2], [2, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [2, 3]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [2, 0], [2, 2], [2, 0], [2, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [2, 0], [2, 2], [2, 2], [2, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [2, 0], [2, 3], [2, 0], [2, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [2, 0], [2, 3], [2, 2], [2, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[2, 2], [2, 0], [2, 2], [2, 0], [2, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[2, 2], [2, 0], [2, 2], [2, 2], [2, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[2, 3], [2, 0], [2, 2], [2, 0], [2, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[2, 3], [2, 0], [2, 2], [2, 2], [2, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 3], [3, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 3], [3, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [3, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [3, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.obstruction_inferral&#34;, &#34;strategy_class&#34;: &#34;ObstructionInferralStrategy&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}]}}]}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;EquivalencePathRule&#34;, &#34;rules&#34;: [{&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 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0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_placement&#34;, &#34;strategy_class&#34;: &#34;RequirementPlacementStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}], &#34;indices&#34;: [0], &#34;direction&#34;: 0, &#34;own_col&#34;: true, &#34;own_row&#34;: true, &#34;include_empty&#34;: false}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: 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{&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 1]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.row_and_col_separation&#34;, &#34;strategy_class&#34;: &#34;RowColumnSeparationStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;inferrable&#34;: true, &#34;possibly_empty&#34;: false, &#34;workable&#34;: true}}]}, {&#34;class_module&#34;: 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&#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [2, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 0], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [2, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.row_and_col_separation&#34;, &#34;strategy_class&#34;: &#34;RowColumnSeparationStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;inferrable&#34;: true, &#34;possibly_empty&#34;: false, &#34;workable&#34;: true}}]}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;EquivalencePathRule&#34;, &#34;rules&#34;: [{&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.row_and_col_separation&#34;, &#34;strategy_class&#34;: &#34;RowColumnSeparationStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;inferrable&#34;: true, &#34;possibly_empty&#34;: false, &#34;workable&#34;: true}}]}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;EquivalencePathRule&#34;, &#34;rules&#34;: [{&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: 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[0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [2, 1], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}], 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1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: 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{&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [2, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 0], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_placement&#34;, &#34;strategy_class&#34;: &#34;RequirementPlacementStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], &#34;indices&#34;: [0], &#34;direction&#34;: 1, &#34;own_col&#34;: true, &#34;own_row&#34;: true, &#34;include_empty&#34;: false}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [2, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 0], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 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1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [3, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [3, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [4, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.row_and_col_separation&#34;, &#34;strategy_class&#34;: &#34;RowColumnSeparationStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;inferrable&#34;: true, &#34;possibly_empty&#34;: false, &#34;workable&#34;: true}}]}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;EquivalencePathRule&#34;, &#34;rules&#34;: [{&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 0, 1], 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{&#34;class_module&#34;: &#34;tilings.strategies.row_and_col_separation&#34;, &#34;strategy_class&#34;: &#34;RowColumnSeparationStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;inferrable&#34;: true, &#34;possibly_empty&#34;: false, &#34;workable&#34;: true}}]}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;EquivalencePathRule&#34;, &#34;rules&#34;: [{&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 2]]}, {&#34;patt&#34;: [0, 1], 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{&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.row_and_col_separation&#34;, &#34;strategy_class&#34;: &#34;RowColumnSeparationStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;inferrable&#34;: true, &#34;possibly_empty&#34;: false, &#34;workable&#34;: true}}]}, 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&#34;tilings.strategies.requirement_placement&#34;, &#34;strategy_class&#34;: &#34;RequirementPlacementStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}], &#34;indices&#34;: [0], &#34;direction&#34;: 0, &#34;own_col&#34;: true, &#34;own_row&#34;: true, &#34;include_empty&#34;: false}}]}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;EquivalencePathRule&#34;, &#34;rules&#34;: [{&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 2], 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[{&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [1, 2], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [1, 0], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [1, 0], [1, 1], [1, 0], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 1], [2, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [1, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [2, 0], [2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [2, 0], [2, 1], [2, 0], [2, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.row_and_col_separation&#34;, &#34;strategy_class&#34;: &#34;RowColumnSeparationStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;inferrable&#34;: true, &#34;possibly_empty&#34;: false, &#34;workable&#34;: true}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 1], [2, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [1, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [2, 0], [2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [2, 0], [2, 1], [2, 0], [2, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.obstruction_inferral&#34;, &#34;strategy_class&#34;: &#34;ObstructionInferralStrategy&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}]}}]}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;EquivalencePathRule&#34;, &#34;rules&#34;: [{&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, 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{&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.row_and_col_separation&#34;, &#34;strategy_class&#34;: &#34;RowColumnSeparationStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;inferrable&#34;: true, &#34;possibly_empty&#34;: false, &#34;workable&#34;: true}}]}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;EquivalencePathRule&#34;, &#34;rules&#34;: [{&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], 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&#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 2], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]}}}]}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;EquivalencePathRule&#34;, &#34;rules&#34;: [{&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 2], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 2], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 2], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [2, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [2, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 0], [2, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 0], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [1, 3]]}, 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[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [3, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [3, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [3, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[3, 1], [3, 2], [3, 2]]}, 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&#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.row_and_col_separation&#34;, &#34;strategy_class&#34;: &#34;RowColumnSeparationStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;inferrable&#34;: true, &#34;possibly_empty&#34;: false, &#34;workable&#34;: true}}]}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;EquivalencePathRule&#34;, &#34;rules&#34;: [{&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;EquivalenceRule&#34;, &#34;original_rule&#34;: {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, 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&#34;pos&#34;: [[1, 2]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_placement&#34;, &#34;strategy_class&#34;: &#34;RequirementPlacementStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], &#34;indices&#34;: [0], &#34;direction&#34;: 0, &#34;own_col&#34;: true, &#34;own_row&#34;: true, &#34;include_empty&#34;: false}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: 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{&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 1], [0, 3], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, 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&#34;pos&#34;: [[0, 4], [0, 2], [0, 4], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_placement&#34;, &#34;strategy_class&#34;: &#34;RequirementPlacementStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}], &#34;indices&#34;: [0], &#34;direction&#34;: 0, &#34;own_col&#34;: true, &#34;own_row&#34;: true, &#34;include_empty&#34;: false}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: 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{&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 2], [0, 4], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, 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{&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], 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{&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_placement&#34;, &#34;strategy_class&#34;: &#34;RequirementPlacementStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}], &#34;indices&#34;: [0], &#34;direction&#34;: 1, &#34;own_col&#34;: true, &#34;own_row&#34;: true, &#34;include_empty&#34;: false}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 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{&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[6, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[6, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[6, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [2, 2]]}, {&#34;patt&#34;: [0, 1], 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4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 1]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.row_and_col_separation&#34;, &#34;strategy_class&#34;: &#34;RowColumnSeparationStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;inferrable&#34;: true, &#34;possibly_empty&#34;: false, &#34;workable&#34;: true}}]}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;EquivalencePathRule&#34;, &#34;rules&#34;: [{&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [1, 0], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [1, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 1], [1, 0], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 1], [3, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 3], [3, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [3, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [3, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 3], [3, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 3], [3, 3]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [3, 1], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [3, 3], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [3, 0], [3, 1], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [3, 0], [3, 3], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 1], [3, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [3, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [3, 1], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [3, 3], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[3, 0], [3, 1], [3, 0], [3, 0]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 1], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [1, 0], [1, 0], [3, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [1, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 3], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 3], [0, 3], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 3], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 3], [0, 3], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 3], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1], [0, 3], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 3], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1], [0, 3], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 1], [0, 3], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 3], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_placement&#34;, &#34;strategy_class&#34;: &#34;RequirementPlacementStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}], &#34;indices&#34;: [0], &#34;direction&#34;: 2, &#34;own_col&#34;: true, &#34;own_row&#34;: true, &#34;include_empty&#34;: false}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 1], [3, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 3], [3, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [3, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [3, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 3], [3, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 3], [3, 3]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [3, 0]]}, {&#34;patt&#34;: [0, 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&#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.obstruction_inferral&#34;, &#34;strategy_class&#34;: &#34;ObstructionInferralStrategy&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}]}}]}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;EquivalencePathRule&#34;, &#34;rules&#34;: [{&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], 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[0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.obstruction_inferral&#34;, &#34;strategy_class&#34;: &#34;ObstructionInferralStrategy&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}]}}]}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;EquivalencePathRule&#34;, &#34;rules&#34;: [{&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 0], [2, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_placement&#34;, &#34;strategy_class&#34;: &#34;RequirementPlacementStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], &#34;indices&#34;: [0], &#34;direction&#34;: 2, &#34;own_col&#34;: true, &#34;own_row&#34;: true, &#34;include_empty&#34;: false}}]}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;EquivalencePathRule&#34;, &#34;rules&#34;: [{&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [3, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [3, 2], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 2], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[3, 0], [3, 2], [3, 2], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[3, 0], [3, 2], [3, 0], [3, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_placement&#34;, &#34;strategy_class&#34;: &#34;RequirementPlacementStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}], &#34;indices&#34;: [0], &#34;direction&#34;: 2, &#34;own_col&#34;: true, &#34;own_row&#34;: true, &#34;include_empty&#34;: false}}]}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;EquivalencePathRule&#34;, &#34;rules&#34;: [{&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 2], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_placement&#34;, &#34;strategy_class&#34;: &#34;RequirementPlacementStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}], &#34;indices&#34;: [0], &#34;direction&#34;: 0, &#34;own_col&#34;: true, &#34;own_row&#34;: true, &#34;include_empty&#34;: false}}]}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;EquivalencePathRule&#34;, &#34;rules&#34;: [{&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 3], [3, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 3], [3, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 3], [3, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 3], [3, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 2], [2, 3], [2, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 3], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [2, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [3, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 3], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 3], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [2, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [3, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 3], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 3], [2, 2], [2, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_placement&#34;, &#34;strategy_class&#34;: &#34;RequirementPlacementStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], &#34;indices&#34;: [0], &#34;direction&#34;: 2, &#34;own_col&#34;: true, &#34;own_row&#34;: true, &#34;include_empty&#34;: false}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 3], [3, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 3], [3, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 3], [3, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 3], [3, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 2], [2, 3], [2, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 3], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [2, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [3, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 3], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 3], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [2, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [3, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 3], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 3], [2, 2], [2, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 3], [3, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 3], [3, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [3, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [3, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 2], [2, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.obstruction_inferral&#34;, &#34;strategy_class&#34;: &#34;ObstructionInferralStrategy&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}]}}]}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;EquivalencePathRule&#34;, &#34;rules&#34;: [{&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [1, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 0], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.row_and_col_separation&#34;, &#34;strategy_class&#34;: &#34;RowColumnSeparationStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;inferrable&#34;: true, &#34;possibly_empty&#34;: false, &#34;workable&#34;: true}}]}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;EquivalencePathRule&#34;, &#34;rules&#34;: [{&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 2], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [2, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 0], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 4], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 4], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_placement&#34;, &#34;strategy_class&#34;: &#34;RequirementPlacementStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}], &#34;indices&#34;: [0], &#34;direction&#34;: 0, &#34;own_col&#34;: true, &#34;own_row&#34;: true, &#34;include_empty&#34;: false}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [2, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 0], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 4], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 4], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 0], [4, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 3], [3, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 3], [3, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[4, 0], [4, 1], [4, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [4, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[4, 0], [4, 1], [4, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 4], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[4, 0], [4, 0], [4, 1], [4, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[4, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 4], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[4, 0], [4, 1], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[4, 1], [4, 1], [4, 1], [4, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.row_and_col_separation&#34;, &#34;strategy_class&#34;: &#34;RowColumnSeparationStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;inferrable&#34;: true, &#34;possibly_empty&#34;: false, &#34;workable&#34;: true}}]}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;EquivalencePathRule&#34;, &#34;rules&#34;: [{&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_placement&#34;, &#34;strategy_class&#34;: &#34;RequirementPlacementStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}], &#34;indices&#34;: [0], &#34;direction&#34;: 0, &#34;own_col&#34;: true, &#34;own_row&#34;: true, &#34;include_empty&#34;: false}}]}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;EquivalencePathRule&#34;, &#34;rules&#34;: [{&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [1, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 3], [1, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 1], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [1, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 3], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 3], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [1, 3], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [1, 1], [1, 3], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [1, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 3], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [1, 3], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [1, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 3], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_placement&#34;, &#34;strategy_class&#34;: &#34;RequirementPlacementStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}], &#34;indices&#34;: [0], &#34;direction&#34;: 0, &#34;own_col&#34;: true, &#34;own_row&#34;: true, &#34;include_empty&#34;: false}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [1, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 3], [1, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 1], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [1, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 3], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 3], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [1, 3], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [1, 1], [1, 3], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [1, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 3], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [1, 3], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [1, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 3], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 3], [1, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 1], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [1, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 3], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 3], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [1, 3], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [1, 1], [1, 3], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [1, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 3], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [1, 3], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [1, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 3], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0], [4, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.row_and_col_separation&#34;, &#34;strategy_class&#34;: &#34;RowColumnSeparationStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;inferrable&#34;: true, &#34;possibly_empty&#34;: false, &#34;workable&#34;: true}}]}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;EquivalencePathRule&#34;, &#34;rules&#34;: [{&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 3], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_placement&#34;, &#34;strategy_class&#34;: &#34;RequirementPlacementStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], &#34;indices&#34;: [0], &#34;direction&#34;: 0, &#34;own_col&#34;: true, &#34;own_row&#34;: true, &#34;include_empty&#34;: false}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 3], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [3, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 3], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[3, 0], [3, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[3, 0], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [4, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[3, 0], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0], [4, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.row_and_col_separation&#34;, &#34;strategy_class&#34;: &#34;RowColumnSeparationStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;inferrable&#34;: true, &#34;possibly_empty&#34;: false, &#34;workable&#34;: true}}]}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;EquivalencePathRule&#34;, &#34;rules&#34;: [{&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 3], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_placement&#34;, &#34;strategy_class&#34;: &#34;RequirementPlacementStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}], &#34;indices&#34;: [0], &#34;direction&#34;: 0, &#34;own_col&#34;: true, &#34;own_row&#34;: true, &#34;include_empty&#34;: false}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 3], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 3], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0], [4, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.row_and_col_separation&#34;, &#34;strategy_class&#34;: &#34;RowColumnSeparationStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;inferrable&#34;: true, &#34;possibly_empty&#34;: false, &#34;workable&#34;: true}}]}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;EquivalencePathRule&#34;, &#34;rules&#34;: [{&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 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2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 2], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 2], [0, 0]]}, 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&#34;RequirementPlacementStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}], &#34;indices&#34;: [0], &#34;direction&#34;: 0, &#34;own_col&#34;: true, &#34;own_row&#34;: true, &#34;include_empty&#34;: false}}]}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;EquivalencePathRule&#34;, &#34;rules&#34;: [{&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], 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[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_placement&#34;, &#34;strategy_class&#34;: &#34;RequirementPlacementStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}], &#34;indices&#34;: [0], &#34;direction&#34;: 1, &#34;own_col&#34;: true, &#34;own_row&#34;: true, &#34;include_empty&#34;: false}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0, 1], 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2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [4, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 4], [2, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[4, 3], [4, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 4], [2, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 4], [4, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[4, 3], [4, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0], [4, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 3]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.row_and_col_separation&#34;, &#34;strategy_class&#34;: &#34;RowColumnSeparationStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;inferrable&#34;: true, &#34;possibly_empty&#34;: false, &#34;workable&#34;: true}}]}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;EquivalencePathRule&#34;, &#34;rules&#34;: [{&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.row_and_col_separation&#34;, &#34;strategy_class&#34;: &#34;RowColumnSeparationStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;inferrable&#34;: true, &#34;possibly_empty&#34;: false, &#34;workable&#34;: true}}]}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;EquivalencePathRule&#34;, &#34;rules&#34;: [{&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [4, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 3], [4, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[4, 3], [4, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 3], [4, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[4, 3], [4, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0], [4, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 3]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_placement&#34;, &#34;strategy_class&#34;: &#34;RequirementPlacementStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}], &#34;indices&#34;: [0], &#34;direction&#34;: 1, &#34;own_col&#34;: true, &#34;own_row&#34;: true, &#34;include_empty&#34;: false}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [4, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 3], [4, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[4, 3], [4, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 3], [4, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[4, 3], [4, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0], [4, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 3]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 0], [5, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 4], [3, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[4, 1], [4, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[5, 3], [5, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 4], [3, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 4], [5, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[4, 1], [4, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[5, 3], [5, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [5, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [5, 0], [5, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[5, 0], [5, 0], [5, 0], [5, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[5, 0], [5, 0], [5, 0], [5, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 3]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 1]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.row_and_col_separation&#34;, &#34;strategy_class&#34;: &#34;RowColumnSeparationStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;inferrable&#34;: true, &#34;possibly_empty&#34;: false, &#34;workable&#34;: true}}]}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;EquivalencePathRule&#34;, &#34;rules&#34;: [{&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [4, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], 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0], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0], [4, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_placement&#34;, &#34;strategy_class&#34;: &#34;RequirementPlacementStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}], &#34;indices&#34;: [0], &#34;direction&#34;: 0, &#34;own_col&#34;: true, &#34;own_row&#34;: true, &#34;include_empty&#34;: false}}]}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;EquivalencePathRule&#34;, &#34;rules&#34;: [{&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 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1], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_placement&#34;, &#34;strategy_class&#34;: &#34;RequirementPlacementStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], &#34;indices&#34;: [0], &#34;direction&#34;: 0, &#34;own_col&#34;: true, &#34;own_row&#34;: true, &#34;include_empty&#34;: false}}]}, {&#34;class_module&#34;: 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[0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [2, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [5, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 0], [2, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 0], [5, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[4, 1], [4, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[4, 1], [4, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [5, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [5, 0], [5, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], 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2], [1, 2], [2, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 2], [1, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[5, 0], [5, 0], [5, 0], [5, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 1]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_placement&#34;, &#34;strategy_class&#34;: &#34;RequirementPlacementStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}], &#34;indices&#34;: [0], &#34;direction&#34;: 1, &#34;own_col&#34;: true, &#34;own_row&#34;: true, &#34;include_empty&#34;: false}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [2, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [5, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 0], [2, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 0], [5, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[4, 1], [4, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[4, 1], [4, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], 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[[1, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[5, 0], [5, 0], [5, 0], [5, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 1]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[6, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[6, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[7, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[7, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 0], [3, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 0], [7, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[4, 0], [7, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[6, 1], [6, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[6, 1], [6, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [5, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [4, 0], [5, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [5, 0], [5, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[4, 0], [4, 0], [5, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[4, 0], [5, 0], [5, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[5, 0], [5, 0], [7, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[5, 0], [7, 0], [7, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 2], [1, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[5, 0], [5, 0], [5, 0], [5, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[7, 0], [7, 0], [7, 0], [7, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [3, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 2], [1, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [4, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[5, 0], [5, 0], [5, 0], [5, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[7, 0], [7, 0], [7, 0], [7, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[6, 1]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.row_and_col_separation&#34;, &#34;strategy_class&#34;: &#34;RowColumnSeparationStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;inferrable&#34;: true, &#34;possibly_empty&#34;: false, &#34;workable&#34;: true}}]}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;EquivalencePathRule&#34;, &#34;rules&#34;: [{&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [4, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [4, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0], [4, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_placement&#34;, &#34;strategy_class&#34;: &#34;RequirementPlacementStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}], &#34;indices&#34;: [0], &#34;direction&#34;: 1, &#34;own_col&#34;: true, &#34;own_row&#34;: true, &#34;include_empty&#34;: false}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [4, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [4, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0], [4, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[6, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[6, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [2, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [6, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 0], [6, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[5, 1], [5, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[5, 1], [5, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [3, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[4, 0], [4, 0], [6, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[4, 0], [6, 0], [6, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[6, 0], [6, 0], [6, 0], [6, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[6, 0], [6, 0], [6, 0], [6, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 1]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.row_and_col_separation&#34;, &#34;strategy_class&#34;: &#34;RowColumnSeparationStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;inferrable&#34;: true, &#34;possibly_empty&#34;: false, &#34;workable&#34;: true}}]}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;EquivalencePathRule&#34;, &#34;rules&#34;: [{&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [3, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 0], [2, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 0], [5, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[4, 1], [4, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[4, 1], [4, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 2], [1, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [5, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [5, 0], [5, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[5, 0], [5, 0], [5, 0], [5, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[5, 0], [5, 0], [5, 0], [5, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 1]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_placement&#34;, &#34;strategy_class&#34;: &#34;RequirementPlacementStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}], &#34;indices&#34;: [0], &#34;direction&#34;: 1, &#34;own_col&#34;: true, &#34;own_row&#34;: true, &#34;include_empty&#34;: false}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 0], [2, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 0], [5, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[4, 1], [4, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[4, 1], [4, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 2], [1, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [5, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [5, 0], [5, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[5, 0], [5, 0], [5, 0], [5, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[5, 0], [5, 0], [5, 0], [5, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 1]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[6, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[6, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 0], [6, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[5, 1], [5, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[5, 1], [5, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 2], [1, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[4, 0], [4, 0], [6, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[4, 0], [6, 0], [6, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[6, 0], [6, 0], [6, 0], [6, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[6, 0], [6, 0], [6, 0], [6, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 1]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.row_and_col_separation&#34;, &#34;strategy_class&#34;: &#34;RowColumnSeparationStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;inferrable&#34;: true, &#34;possibly_empty&#34;: false, &#34;workable&#34;: true}}]}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;EquivalencePathRule&#34;, &#34;rules&#34;: [{&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 2], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 2], [0, 2], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 2], [0, 2], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 2], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 2], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 2], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 0], [0, 2], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_placement&#34;, &#34;strategy_class&#34;: &#34;RequirementPlacementStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}], &#34;indices&#34;: [0], &#34;direction&#34;: 0, &#34;own_col&#34;: true, &#34;own_row&#34;: true, &#34;include_empty&#34;: false}}]}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;EquivalencePathRule&#34;, &#34;rules&#34;: [{&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_placement&#34;, &#34;strategy_class&#34;: &#34;RequirementPlacementStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}], &#34;indices&#34;: [0], &#34;direction&#34;: 0, &#34;own_col&#34;: true, &#34;own_row&#34;: true, &#34;include_empty&#34;: false}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.row_and_col_separation&#34;, &#34;strategy_class&#34;: &#34;RowColumnSeparationStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;inferrable&#34;: true, &#34;possibly_empty&#34;: false, &#34;workable&#34;: true}}]}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;EquivalencePathRule&#34;, &#34;rules&#34;: [{&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [1, 0], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [1, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 1], [1, 0], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [2, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 3], [2, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 1], [2, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [2, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 3], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_placement&#34;, &#34;strategy_class&#34;: &#34;RequirementPlacementStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], &#34;indices&#34;: [0], &#34;direction&#34;: 0, &#34;own_col&#34;: true, &#34;own_row&#34;: true, &#34;include_empty&#34;: false}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [2, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 3], [2, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 1], [2, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [2, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 3], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.row_and_col_separation&#34;, &#34;strategy_class&#34;: &#34;RowColumnSeparationStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;inferrable&#34;: true, &#34;possibly_empty&#34;: false, &#34;workable&#34;: true}}]}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;EquivalencePathRule&#34;, &#34;rules&#34;: [{&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, 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0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 3], [3, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 3], [3, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 3], [3, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 3], [3, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 3], [2, 2]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[2, 2], [2, 3], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 3], [2, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 2], [2, 3], [2, 2], [2, 2]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[0, 3], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[0, 3], [2, 2], [2, 3], [2, 2]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[2, 3], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[0, 3], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[0, 3], [2, 3], [2, 2], [2, 2]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[2, 3], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [2, 3]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [3, 3]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 2], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 2], [2, 3], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 2], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 2], [2, 3], [2, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [2, 3]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [3, 3]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 2], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 3], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 2], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 3], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [2, 3]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [3, 3]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 0], [2, 3], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 2], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 2], [2, 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[2, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 2], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 3], [2, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 3], [2, 2], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [2, 3]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [3, 3]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 2], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 2], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 3], [2, 2], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 3], [2, 2], [2, 2], [2, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [2, 3]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [3, 3]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [2, 0], [2, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [2, 0], [2, 0], [2, 3], [2, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [2, 0], [2, 2], [2, 2], [2, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [2, 0], [2, 2], [2, 3], [2, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[2, 2], [2, 0], [2, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[2, 2], [2, 0], [2, 2], [2, 2], [2, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[2, 3], [2, 0], [2, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[2, 3], [2, 0], [2, 2], [2, 2], [2, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [2, 3]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [3, 3]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [2, 0], [2, 2], [2, 0], [2, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [2, 0], [2, 2], [2, 2], [2, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [2, 0], [2, 3], [2, 0], [2, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [2, 0], [2, 3], [2, 2], [2, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[2, 2], [2, 0], [2, 2], [2, 0], [2, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[2, 2], [2, 0], [2, 2], [2, 2], [2, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[2, 3], [2, 0], [2, 2], [2, 0], [2, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[2, 3], [2, 0], [2, 2], [2, 2], [2, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_placement&#34;, &#34;strategy_class&#34;: &#34;RequirementPlacementStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], &#34;indices&#34;: [0], &#34;direction&#34;: 2, &#34;own_col&#34;: true, &#34;own_row&#34;: true, &#34;include_empty&#34;: false}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 3], [3, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 3], [3, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 3], [3, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 3], [3, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 3], [2, 2]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[2, 2], [2, 3], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 3], [2, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 2], [2, 3], [2, 2], [2, 2]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[0, 3], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[0, 3], [2, 2], [2, 3], [2, 2]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[2, 3], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[0, 3], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[0, 3], [2, 3], [2, 2], [2, 2]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[2, 3], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [2, 3]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [3, 3]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 2], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 2], [2, 3], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 2], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 2], [2, 3], [2, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [2, 3]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [3, 3]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 2], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 3], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 2], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 3], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [2, 3]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [3, 3]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 0], [2, 3], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 2], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 2], [2, 3], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [2, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [3, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 2], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 2], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 3], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 3], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [2, 3]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [3, 3]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 2], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 3], [2, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 3], [2, 2], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [2, 3]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [3, 3]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 2], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 2], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 3], [2, 2], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 3], [2, 2], [2, 2], [2, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [2, 3]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [3, 3]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [2, 0], [2, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [2, 0], [2, 0], [2, 3], [2, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [2, 0], [2, 2], [2, 2], [2, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [2, 0], [2, 2], [2, 3], [2, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[2, 2], [2, 0], [2, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[2, 2], [2, 0], [2, 2], [2, 2], [2, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[2, 3], [2, 0], [2, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[2, 3], [2, 0], [2, 2], [2, 2], [2, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [2, 3]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [3, 3]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [2, 0], [2, 2], [2, 0], [2, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [2, 0], [2, 2], [2, 2], [2, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [2, 0], [2, 3], [2, 0], [2, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [2, 0], [2, 3], [2, 2], [2, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[2, 2], [2, 0], [2, 2], [2, 0], [2, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[2, 2], [2, 0], [2, 2], [2, 2], [2, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[2, 3], [2, 0], [2, 2], [2, 0], [2, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[2, 3], [2, 0], [2, 2], [2, 2], [2, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 3], [3, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 3], [3, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 2], [2, 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[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [1, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.row_and_col_separation&#34;, &#34;strategy_class&#34;: &#34;RowColumnSeparationStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;inferrable&#34;: true, &#34;possibly_empty&#34;: false, &#34;workable&#34;: true}}]}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;EquivalencePathRule&#34;, &#34;rules&#34;: [{&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 2], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 2], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 2], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 2], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 2], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 4], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 4], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 0], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 2], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 2], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 2], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [2, 1], [2, 0]]}, 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{&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.row_and_col_separation&#34;, &#34;strategy_class&#34;: &#34;RowColumnSeparationStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;inferrable&#34;: true, &#34;possibly_empty&#34;: false, &#34;workable&#34;: true}}]}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;EquivalencePathRule&#34;, &#34;rules&#34;: [{&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, 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1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 3], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_placement&#34;, &#34;strategy_class&#34;: &#34;RequirementPlacementStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}], &#34;indices&#34;: [0], &#34;direction&#34;: 0, &#34;own_col&#34;: true, &#34;own_row&#34;: true, &#34;include_empty&#34;: false}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [1, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [1, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 1], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [1, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 3], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 3], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [2, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[4, 2], [4, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[4, 2], [4, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 1], [2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [2, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 1], [2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [5, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [5, 0], [5, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 3], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[5, 0], [5, 0], [5, 0], [5, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 1], [2, 3], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[5, 0], [5, 0], [5, 0], [5, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 2]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.row_and_col_separation&#34;, &#34;strategy_class&#34;: &#34;RowColumnSeparationStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;inferrable&#34;: true, &#34;possibly_empty&#34;: false, &#34;workable&#34;: true}}]}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;EquivalencePathRule&#34;, &#34;rules&#34;: [{&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [2, 1], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_placement&#34;, &#34;strategy_class&#34;: &#34;RequirementPlacementStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}], &#34;indices&#34;: [0], &#34;direction&#34;: 0, &#34;own_col&#34;: true, &#34;own_row&#34;: true, &#34;include_empty&#34;: false}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[4, 2], [4, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[4, 2], [4, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [5, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [3, 0], [5, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [5, 0], [5, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [5, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [5, 0], [5, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[5, 0], [5, 0], [5, 0], [5, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[5, 0], [5, 0], [5, 0], [5, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 2]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.row_and_col_separation&#34;, &#34;strategy_class&#34;: &#34;RowColumnSeparationStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;inferrable&#34;: true, &#34;possibly_empty&#34;: false, &#34;workable&#34;: true}}]}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;EquivalencePathRule&#34;, &#34;rules&#34;: [{&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.row_and_col_separation&#34;, &#34;strategy_class&#34;: &#34;RowColumnSeparationStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;inferrable&#34;: true, &#34;possibly_empty&#34;: false, &#34;workable&#34;: true}}]}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;EquivalencePathRule&#34;, &#34;rules&#34;: [{&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 0], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [1, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [2, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 0], [2, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 0], [2, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 1], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 1], [1, 3], [2, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 1], [2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 1], [2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [2, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 3], [1, 3], [2, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 3], [2, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 1], [2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [1, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 3], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 3], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 1], [2, 3], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [2, 1], [2, 3], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [2, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 3], [1, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 3], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [1, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 3], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 3], [1, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 3], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [2, 3], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [2, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 3], [1, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 1], [2, 3], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_placement&#34;, &#34;strategy_class&#34;: &#34;RequirementPlacementStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}], &#34;indices&#34;: [0], &#34;direction&#34;: 0, &#34;own_col&#34;: true, &#34;own_row&#34;: true, &#34;include_empty&#34;: false}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [1, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [2, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 0], [2, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 0], [2, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 1], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 1], [1, 3], [2, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 1], [2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 1], [2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [2, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 3], [1, 3], [2, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 3], [2, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 1], [2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [1, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 3], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 3], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 1], [2, 3], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [2, 1], [2, 3], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [2, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 3], [1, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 3], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [1, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 3], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 3], [1, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 3], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [2, 3], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [2, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 3], [1, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 1], [2, 3], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[6, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[6, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[6, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [2, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [3, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[5, 2], [5, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[5, 2], [5, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 1], [2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 1], [2, 3], [3, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 1], [3, 3], [3, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[3, 1], [3, 3], [3, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [3, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 3], [2, 3], [3, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [2, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 1], [2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 1], [2, 3], [3, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 1], [3, 3], [3, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 1], [3, 3], [3, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[4, 0], [4, 0], [6, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[4, 0], [6, 0], [6, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], 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{&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [3, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 1], [2, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 1], [2, 3], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 1], [2, 3], [2, 1], [3, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 1], [2, 3], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 1], [3, 3], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3], [3, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 3], [2, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[3, 1], [3, 3], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[6, 0], [6, 0], [6, 0], [6, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[6, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 2]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.row_and_col_separation&#34;, &#34;strategy_class&#34;: &#34;RowColumnSeparationStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;inferrable&#34;: true, &#34;possibly_empty&#34;: false, &#34;workable&#34;: true}}]}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;EquivalencePathRule&#34;, &#34;rules&#34;: [{&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [1, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [1, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 1], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [1, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 3], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [1, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 3], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_placement&#34;, &#34;strategy_class&#34;: &#34;RequirementPlacementStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}], &#34;indices&#34;: [0], &#34;direction&#34;: 0, &#34;own_col&#34;: true, &#34;own_row&#34;: true, &#34;include_empty&#34;: false}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [1, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [1, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 1], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [1, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 3], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [1, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 3], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [2, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[4, 2], [4, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[4, 2], [4, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 1], [2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 1], [2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [2, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 3], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [2, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 1], [2, 3], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 2]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.row_and_col_separation&#34;, &#34;strategy_class&#34;: &#34;RowColumnSeparationStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;inferrable&#34;: true, &#34;possibly_empty&#34;: false, &#34;workable&#34;: true}}]}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;EquivalencePathRule&#34;, &#34;rules&#34;: [{&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 2, 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0, 2, 3, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 3], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_placement&#34;, &#34;strategy_class&#34;: &#34;RequirementPlacementStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}], &#34;indices&#34;: [0], &#34;direction&#34;: 0, &#34;own_col&#34;: true, &#34;own_row&#34;: true, &#34;include_empty&#34;: false}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 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{&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 1], [0, 3], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 4], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 4], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 3], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.row_and_col_separation&#34;, &#34;strategy_class&#34;: &#34;RowColumnSeparationStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;inferrable&#34;: true, &#34;possibly_empty&#34;: false, &#34;workable&#34;: true}}]}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, 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{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [1, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [3, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 4], [1, 4]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 2], [1, 4], [1, 4]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 2], [1, 4], [1, 4]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[3, 0], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 4], [1, 4]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 4], [1, 4]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 2], [1, 4], [1, 4]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 4], [1, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [1, 4], [1, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], 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{&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 4], [1, 4], [1, 4], [1, 4]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[3, 0], [3, 1], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 4], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 4], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 4], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 4], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 4], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 4], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 4], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 4], [0, 2], [0, 2], [0, 4], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 2], [0, 4], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_placement&#34;, &#34;strategy_class&#34;: &#34;RequirementPlacementStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}], &#34;indices&#34;: [0], &#34;direction&#34;: 0, &#34;own_col&#34;: true, &#34;own_row&#34;: true, &#34;include_empty&#34;: false}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [1, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [3, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 4], [1, 4]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 2], [1, 4], [1, 4]]}, {&#34;patt&#34;: 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{&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 4], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 4], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 4], [0, 2], [0, 2], [0, 4], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 2], [0, 4], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, 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{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 0], [5, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[4, 3], [4, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[4, 3], [4, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 4], [1, 4]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 2], [1, 4], [1, 4]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 2], [1, 4], [1, 4]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[5, 0], [5, 1], [5, 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0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 3], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_placement&#34;, &#34;strategy_class&#34;: &#34;RequirementPlacementStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}], &#34;indices&#34;: [0], &#34;direction&#34;: 0, &#34;own_col&#34;: true, &#34;own_row&#34;: true, &#34;include_empty&#34;: false}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [1, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 3], [1, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 1], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [1, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [3, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], 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{&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 3], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [4, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[3, 0], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 3], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 3], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 3], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 3], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 1], [0, 3], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 3], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 0]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 3], [1, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 1], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [1, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [5, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [4, 0], [5, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [5, 0], [5, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 3], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [1, 3], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [1, 1], [1, 3], [1, 1]]}, 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{&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 1], [0, 3], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 3], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.row_and_col_separation&#34;, &#34;strategy_class&#34;: &#34;RowColumnSeparationStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;inferrable&#34;: true, &#34;possibly_empty&#34;: false, &#34;workable&#34;: true}}]}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;EquivalencePathRule&#34;, &#34;rules&#34;: [{&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: 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3], [0, 3], [0, 3], [1, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 3], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_placement&#34;, &#34;strategy_class&#34;: &#34;RequirementPlacementStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}], &#34;indices&#34;: [0], &#34;direction&#34;: 0, &#34;own_col&#34;: true, &#34;own_row&#34;: true, &#34;include_empty&#34;: false}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [1, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [1, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 1], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 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[0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 3], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [1, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 3], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: 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3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[6, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 2]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.row_and_col_separation&#34;, &#34;strategy_class&#34;: &#34;RowColumnSeparationStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;inferrable&#34;: true, &#34;possibly_empty&#34;: false, &#34;workable&#34;: true}}]}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;EquivalencePathRule&#34;, &#34;rules&#34;: [{&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [1, 3]]}, 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{&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], 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[[2, 3]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.row_and_col_separation&#34;, &#34;strategy_class&#34;: &#34;RowColumnSeparationStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;inferrable&#34;: true, &#34;possibly_empty&#34;: false, &#34;workable&#34;: true}}]}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;EquivalencePathRule&#34;, &#34;rules&#34;: [{&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 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[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 4], [2, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 4], [2, 4]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 1], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 2], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 2], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.row_and_col_separation&#34;, &#34;strategy_class&#34;: &#34;RowColumnSeparationStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;inferrable&#34;: true, &#34;possibly_empty&#34;: false, &#34;workable&#34;: true}}]}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;EquivalencePathRule&#34;, &#34;rules&#34;: [{&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], 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{&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], 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&#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: 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&#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 3], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_placement&#34;, &#34;strategy_class&#34;: &#34;RequirementPlacementStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}], 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1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 1], [2, 2], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_placement&#34;, &#34;strategy_class&#34;: &#34;RequirementPlacementStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}], &#34;indices&#34;: [0], &#34;direction&#34;: 1, &#34;own_col&#34;: true, &#34;own_row&#34;: true, &#34;include_empty&#34;: false}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [2, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [2, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [2, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 0], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 0], [2, 1], [2, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 0], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 1], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 1], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 2], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 1], [2, 2], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [4, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 0], [4, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 0], [4, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 3], [3, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 3], [3, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[4, 0], [4, 1], [4, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[4, 0], [4, 1], [4, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[4, 0], [4, 2], [4, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[4, 1], [4, 2], [4, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[4, 0], [4, 1], [4, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[4, 0], [4, 2], [4, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[4, 0], [4, 2], [4, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[4, 1], [4, 2], [4, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [4, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [4, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[4, 0], [4, 0], [4, 1], [4, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[4, 0], [4, 0], [4, 2], [4, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[4, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[4, 1], [4, 1], [4, 2], [4, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[4, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [4, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [4, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [4, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[4, 0], [4, 1], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[4, 0], [4, 2], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[4, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[4, 1], [4, 2], [4, 1], [4, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[4, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.row_and_col_separation&#34;, &#34;strategy_class&#34;: &#34;RowColumnSeparationStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;inferrable&#34;: true, &#34;possibly_empty&#34;: false, &#34;workable&#34;: true}}]}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;EquivalencePathRule&#34;, &#34;rules&#34;: [{&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 0], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [1, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [2, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [2, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 0], [2, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 0], [2, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 1], [2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [2, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 3], [1, 3], [2, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 3], [1, 3], [2, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 1], [2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [1, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 3], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [1, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 1], [2, 3], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_placement&#34;, &#34;strategy_class&#34;: &#34;RequirementPlacementStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}], &#34;indices&#34;: [0], &#34;direction&#34;: 0, &#34;own_col&#34;: true, &#34;own_row&#34;: true, &#34;include_empty&#34;: false}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [1, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [2, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [2, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 0], [2, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 0], [2, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 1], [2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [2, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 3], [1, 3], [2, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 3], [1, 3], [2, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 1], [2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [1, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 3], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [1, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 1], [2, 3], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[6, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[6, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[6, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[7, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[7, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[7, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [2, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [4, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 1], [4, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[6, 2], [6, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[6, 2], [6, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[4, 1], [4, 3], [4, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [4, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 3], [2, 3], [4, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 3], [4, 3], [4, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [4, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [3, 1], [4, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 3], [2, 3], [4, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 3], [4, 3], [4, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 1], [3, 1], [4, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[4, 1], [4, 3], [4, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[5, 0], [5, 0], [7, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[5, 0], [7, 0], [7, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [2, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[4, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[4, 1], [4, 1], [4, 3], [4, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[4, 3], [4, 3], [4, 3], [4, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[5, 0], [5, 0], [5, 0], [5, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[7, 0], [7, 0], [7, 0], [7, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [2, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [3, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[4, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[4, 1], [4, 3], [4, 1], [4, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[4, 3], [4, 3], [4, 3], [4, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[5, 0], [5, 0], [5, 0], [5, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[7, 0], [7, 0], [7, 0], [7, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[7, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[6, 2]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.row_and_col_separation&#34;, &#34;strategy_class&#34;: &#34;RowColumnSeparationStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;inferrable&#34;: true, &#34;possibly_empty&#34;: false, &#34;workable&#34;: true}}]}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;EquivalencePathRule&#34;, &#34;rules&#34;: [{&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;ReverseRule&#34;, &#34;original_rule&#34;: {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [2, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 4], [2, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 4], [2, 4]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 4], [2, 4]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 4], [2, 4]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 4], [2, 4]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 4], [2, 4]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [0, 4]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 3], [0, 4], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 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[[0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], 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&#34;pos&#34;: [[3, 2]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.row_and_col_separation&#34;, &#34;strategy_class&#34;: &#34;RowColumnSeparationStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;inferrable&#34;: true, &#34;possibly_empty&#34;: false, &#34;workable&#34;: true}}]}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;EquivalencePathRule&#34;, &#34;rules&#34;: [{&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 2]]}, {&#34;patt&#34;: [0, 1, 2], 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{&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_placement&#34;, &#34;strategy_class&#34;: &#34;RequirementPlacementStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}], &#34;indices&#34;: [0], &#34;direction&#34;: 0, &#34;own_col&#34;: true, &#34;own_row&#34;: true, &#34;include_empty&#34;: false}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 3], [0, 4]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 4], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 3], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 4], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 4], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 3], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 4], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 4], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 3], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 4], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 4], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 3], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 4], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 4], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 4], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 4], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 4], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 4], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 1], [0, 3], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 4], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 4], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 4], [0, 1], [0, 1], [0, 3], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 4], [0, 1], [0, 1], [0, 4], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 4], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 4], [0, 3], [0, 3], [0, 4], [0, 3]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 3], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 1], [0, 3], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 1], [0, 4], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 3], [0, 4], [0, 3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 3], [0, 4]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 4], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 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{&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 3], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 1], [0, 3], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 1], [0, 4], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 3], [0, 4], [0, 3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.row_and_col_separation&#34;, &#34;strategy_class&#34;: &#34;RowColumnSeparationStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;inferrable&#34;: true, &#34;possibly_empty&#34;: false, &#34;workable&#34;: true}}]}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;EquivalencePathRule&#34;, &#34;rules&#34;: [{&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 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&#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 4], [2, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 4], [3, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 4], [3, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 4], [2, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 4], [3, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 4], [3, 4]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [3, 4]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[3, 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3]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 3], [2, 4], [2, 3], [2, 3]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[0, 4], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[0, 4], [2, 3], [2, 4], [2, 3]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[2, 4], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[0, 4], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[0, 4], [2, 4], [2, 3], [2, 3]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[2, 4], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [2, 4]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 3], [2, 3], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 3], [2, 4], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[2, 1], [2, 3], [2, 3], [2, 3], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[2, 1], [2, 3], [2, 3], [2, 4], [2, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [2, 4]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 3], [2, 3], [2, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 4], [2, 3], [2, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[2, 1], [2, 3], [2, 3], [2, 3], [2, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[2, 1], [2, 3], [2, 4], [2, 3], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [2, 4]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[2, 1], [2, 3], [2, 1], [2, 3], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[2, 1], [2, 3], [2, 1], [2, 4], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[2, 1], [2, 3], [2, 3], [2, 3], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[2, 1], [2, 3], [2, 3], [2, 4], [2, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [2, 4]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[2, 1], [2, 3], [2, 3], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[2, 1], [2, 3], [2, 3], [2, 3], [2, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[2, 1], [2, 3], [2, 4], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[2, 1], [2, 3], [2, 4], [2, 3], [2, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [2, 4]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[2, 1], [2, 3], [2, 1], [2, 3], [2, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[2, 1], [2, 3], [2, 3], [2, 3], [2, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[2, 1], [2, 4], [2, 1], [2, 3], [2, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[2, 1], [2, 4], [2, 3], [2, 3], [2, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [2, 4]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[2, 1], [2, 3], [2, 3], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[2, 1], [2, 3], [2, 3], [2, 3], [2, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[2, 1], [2, 4], [2, 3], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[2, 1], [2, 4], [2, 3], [2, 3], [2, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [2, 4]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 4], [2, 1], [2, 1], [2, 3], [2, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 4], [2, 1], [2, 1], [2, 4], [2, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 4], [2, 1], [2, 3], [2, 3], [2, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 4], [2, 1], [2, 3], [2, 4], [2, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[2, 3], [2, 1], [2, 1], [2, 3], [2, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[2, 3], [2, 1], [2, 3], [2, 3], [2, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[2, 4], [2, 1], [2, 1], [2, 3], [2, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[2, 4], [2, 1], [2, 3], [2, 3], [2, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [2, 4]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 4], [2, 1], [2, 3], [2, 1], [2, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 4], [2, 1], [2, 3], [2, 3], [2, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 4], [2, 1], [2, 4], [2, 1], [2, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 4], [2, 1], [2, 4], [2, 3], [2, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[2, 3], [2, 1], [2, 3], [2, 1], [2, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[2, 3], [2, 1], [2, 3], [2, 3], [2, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[2, 4], [2, 1], [2, 3], [2, 1], [2, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[2, 4], [2, 1], [2, 3], [2, 3], [2, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 4]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_placement&#34;, &#34;strategy_class&#34;: &#34;RequirementPlacementStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], &#34;indices&#34;: [0], &#34;direction&#34;: 2, &#34;own_col&#34;: true, &#34;own_row&#34;: true, &#34;include_empty&#34;: false}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 4], [2, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 4], [3, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 4], [3, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 4], [2, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 4], [3, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 4], [3, 4]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [3, 4]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 4], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [3, 4]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[3, 0], [3, 4], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[2, 3], [2, 3], [2, 4], [2, 3]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[2, 3], [2, 4], [2, 3], [2, 3]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[2, 3], [2, 3], [2, 4], [2, 3]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 3], [2, 4], [2, 3], [2, 3]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[0, 4], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[0, 4], [2, 3], [2, 4], [2, 3]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[2, 4], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[0, 4], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[0, 4], [2, 4], [2, 3], [2, 3]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[2, 4], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, 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&#34;pos&#34;: [[2, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 4]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 0], [2, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 0], [2, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 4], [3, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 4], [3, 4]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [3, 4]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [3, 4], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [3, 0], [3, 4], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 3], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 1], [2, 3], [2, 3], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 4], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [3, 4]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [3, 4], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 1], [2, 3], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 1], [2, 3], [2, 3], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[3, 0], [3, 4], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 4]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.obstruction_inferral&#34;, &#34;strategy_class&#34;: &#34;ObstructionInferralStrategy&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: 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{&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [3, 4], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [3, 0], [3, 4], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 3], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 1], [2, 3], [2, 3], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 4], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [3, 4]]}, {&#34;patt&#34;: [0, 3, 2, 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2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[4, 4], [4, 4]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [4, 4]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 3], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 1], [2, 3], [2, 3], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[3, 0], [3, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[3, 0], [3, 0], [4, 4], [4, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[3, 0], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[3, 0], [4, 0], [4, 4], [4, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[4, 0], [4, 0], [4, 4], [4, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [4, 4]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 1], [2, 3], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 1], [2, 3], [2, 3], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [4, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[3, 0], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[3, 0], [4, 4], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[4, 0], [4, 4], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 4]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.row_and_col_separation&#34;, &#34;strategy_class&#34;: &#34;RowColumnSeparationStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;inferrable&#34;: true, &#34;possibly_empty&#34;: false, &#34;workable&#34;: true}}]}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;EquivalencePathRule&#34;, &#34;rules&#34;: [{&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [1, 0], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [1, 0], [1, 1], [1, 0], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]], &#34;assumptions&#34;: []}, 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[0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 1], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [1, 0], [1, 0], [3, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [1, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 3], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 3], [0, 3], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 3], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], 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4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1], [0, 3], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 1], [0, 3], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 3], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_placement&#34;, &#34;strategy_class&#34;: &#34;RequirementPlacementStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}], &#34;indices&#34;: [0], &#34;direction&#34;: 0, &#34;own_col&#34;: 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[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [1, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [1, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 1], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [1, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 4], [1, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 3], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 3], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 4], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 4], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 4], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 4], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 4], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 4], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 4], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 4], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 4], [0, 3], [0, 3], [0, 4], [0, 3]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 3], [0, 4], [0, 3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_placement&#34;, &#34;strategy_class&#34;: &#34;RequirementPlacementStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}], &#34;indices&#34;: [0], &#34;direction&#34;: 0, &#34;own_col&#34;: true, &#34;own_row&#34;: true, &#34;include_empty&#34;: false}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [1, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [1, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 1], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [1, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 4], [0, 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[0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 3], [0, 4], [0, 3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}]], 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[0], &#34;pos&#34;: [[4, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [2, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[4, 2], [4, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[4, 2], [4, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 1], [2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [2, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 4], [2, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], 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{&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[5, 0], [5, 0], [5, 0], [5, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 4], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 4], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 4], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 4], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 4], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 4], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 4], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 4], [0, 3], [0, 3], [0, 4], [0, 3]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 3], [0, 4], [0, 3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 2]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: 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[0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.row_and_col_separation&#34;, &#34;strategy_class&#34;: &#34;RowColumnSeparationStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;inferrable&#34;: true, &#34;possibly_empty&#34;: false, &#34;workable&#34;: true}}]}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;EquivalencePathRule&#34;, &#34;rules&#34;: [{&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 4], [1, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 4], [1, 4]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 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{&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 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{&#34;class_module&#34;: &#34;tilings.strategies.row_and_col_separation&#34;, &#34;strategy_class&#34;: &#34;RowColumnSeparationStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;inferrable&#34;: true, &#34;possibly_empty&#34;: false, &#34;workable&#34;: true}}]}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;EquivalencePathRule&#34;, &#34;rules&#34;: [{&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 4], [1, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 4], [1, 4]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], 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{&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 2], [0, 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&#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 4], [2, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 4], [2, 4]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 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{&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 4], [0, 4], [0, 3]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 4], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 3], [0, 4], [0, 3], [0, 4], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 4], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 4], [0, 4], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 4], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 4], [0, 3], [0, 4], [0, 3]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 4], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 4], [0, 4], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 4], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 4], [0, 3], [0, 3], [0, 4], [0, 3]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 3], [0, 4], [0, 3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 5]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.row_and_col_separation&#34;, &#34;strategy_class&#34;: &#34;RowColumnSeparationStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;inferrable&#34;: true, &#34;possibly_empty&#34;: false, &#34;workable&#34;: true}}]}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;EquivalencePathRule&#34;, &#34;rules&#34;: [{&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [2, 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{&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 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[1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [1, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 1], [1, 0], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], 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{&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [4, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [3, 1], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [3, 0], [3, 1], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 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{&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 3], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1], [0, 3], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [1, 0], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 1], [0, 3], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [1, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 3], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 3]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_placement&#34;, &#34;strategy_class&#34;: &#34;RequirementPlacementStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}], &#34;indices&#34;: [0], &#34;direction&#34;: 1, &#34;own_col&#34;: true, &#34;own_row&#34;: true, &#34;include_empty&#34;: false}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [3, 1]]}, 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3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [1, 0], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 1], [0, 3], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [1, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 3], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 1]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.row_and_col_separation&#34;, &#34;strategy_class&#34;: &#34;RowColumnSeparationStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;inferrable&#34;: true, &#34;possibly_empty&#34;: false, &#34;workable&#34;: true}}]}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;EquivalencePathRule&#34;, &#34;rules&#34;: [{&#34;class_module&#34;: 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[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], 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1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [3, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 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1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}]}}}]}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;EquivalencePathRule&#34;, &#34;rules&#34;: [{&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;EquivalenceRule&#34;, &#34;original_rule&#34;: 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[0], &#34;pos&#34;: [[2, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]}}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;EquivalenceRule&#34;, &#34;original_rule&#34;: {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 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[1, 0], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]}}}]}, {&#34;class_module&#34;: 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1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [1, 0], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [1, 0], [1, 1], [1, 0], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]}}}]}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;EquivalencePathRule&#34;, &#34;rules&#34;: [{&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;ReverseRule&#34;, &#34;original_rule&#34;: {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, 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4], [0, 4]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [1, 0], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 4], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 4], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 4], [0, 2], [0, 2], [0, 4], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [1, 0], [1, 2], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 2], [0, 4], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 5]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.row_and_col_separation&#34;, &#34;strategy_class&#34;: &#34;RowColumnSeparationStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;inferrable&#34;: true, &#34;possibly_empty&#34;: false, &#34;workable&#34;: true}}, &#34;idx&#34;: 0}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;ReverseRule&#34;, &#34;original_rule&#34;: {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 2], [1, 2], [2, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 2], [1, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0, 2], 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{&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [1, 3]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [2, 3]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [3, 3]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [1, 1], [1, 2], [1, 1], [1, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [1, 1], [1, 2], [1, 2], [1, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [1, 1], [1, 3], [1, 1], [1, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [1, 1], [1, 3], [1, 2], [1, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [2, 0], [2, 3], [2, 0], [2, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[1, 2], [1, 1], [1, 2], [1, 1], [1, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[1, 2], [1, 1], [1, 2], [1, 2], [1, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[1, 3], [1, 1], [1, 2], [1, 1], [1, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[1, 3], [1, 1], [1, 2], [1, 2], [1, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[1, 3], [1, 1], [1, 3], [1, 1], [1, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[1, 3], [1, 1], [1, 3], [1, 2], [1, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[1, 3], [2, 0], [2, 3], [2, 0], [2, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[2, 3], [2, 0], [2, 3], [2, 0], [2, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [1, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [2, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 3], [1, 3], [2, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 3], [1, 3], [2, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [1, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [2, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 3], [1, 3], [2, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 3], [1, 3], [2, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [1, 3]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [2, 3]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 3], [1, 3], [2, 3]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[1, 3], [1, 3], [2, 3]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[1, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 3], [0, 3], [1, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 3], [0, 3], [2, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 3], [1, 3], [2, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 3], [1, 3], [2, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 3], [0, 3], [1, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 3], [0, 3], [2, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 3], [1, 3], [2, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 3], [1, 3], [2, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 3], [0, 3], [1, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 3], [0, 3], [2, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 3], [1, 3], [2, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 3], [1, 3], [2, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 2]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 2]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[0, 3], [0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 3], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[0, 3], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[0, 3], [0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[0, 3], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[0, 3], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 3], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 3], [0, 3], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 3], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 3], [0, 3], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 3], [1, 3], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 3], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 3], [0, 3], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 3], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 3], [0, 3], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 3], [1, 3], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 3], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 3], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1], [0, 3], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 2], [0, 3], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 0], [1, 3], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 3], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 3], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 3], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1], [0, 3], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 2], [0, 3], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 0], [1, 3], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 3], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 1], [0, 3], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 2], [0, 3], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [1, 0], [1, 0], [1, 3], [1, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[1, 3], [1, 0], [1, 0], [1, 3], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 3], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 3], [0, 2], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [1, 0], [1, 3], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[1, 3], [1, 0], [1, 3], [1, 0], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 3], [1, 3], [2, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 3], [1, 3], [3, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 3], [2, 3], [3, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 3], [2, 3], [3, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 3], [1, 3], [2, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 3], [1, 3], [3, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 3], [2, 3], [3, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 3], [2, 3], [3, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[1, 3], [1, 3], [2, 3]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[1, 3], [1, 3], [3, 3]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[1, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[1, 3], [2, 3], [3, 3]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[1, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[2, 3], [2, 3], [3, 3]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[2, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 3], [1, 3], [2, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 3], [1, 3], [3, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 3], [2, 3], [3, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 3], [2, 3], [3, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 3], [1, 3], [2, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 3], [1, 3], [3, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 3], [2, 3], [3, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 3], [1, 3], [2, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 3], [1, 3], [3, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 3], [2, 3], [3, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 3], [2, 3], [3, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 3], [1, 3], [2, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 3], [1, 3], [3, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 3], [2, 3], [3, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 3], [1, 3], [2, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 3], [1, 3], [3, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 3], [2, 3], [3, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 3], [2, 3], [3, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 2], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 2], [1, 2], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 2], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 2], [1, 2], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[1, 2], [1, 3], [1, 3], [1, 2]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[1, 2], [1, 3], [1, 3], [1, 2]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[1, 3], [1, 2], [1, 3], [1, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 2], [1, 2]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[0, 3], [1, 2], [1, 3], [1, 2]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[1, 3], [1, 2], [1, 3], [1, 2]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[0, 3], [1, 3], [1, 2], [1, 2]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 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{&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[1, 1], [1, 2], [1, 3], [1, 3], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 3], [2, 3], [2, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [1, 3]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [2, 3]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [3, 3]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 3], [1, 3], [1, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[1, 1], [1, 2], [1, 3], [1, 3], [1, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 3], [2, 3], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 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1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [3, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 1], [2, 0], [2, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [3, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [2, 0], [2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [2, 0], [2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[2, 1], [2, 0], [2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [3, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [2, 0], [2, 1], [2, 0], [2, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [2, 0], [2, 1], [2, 0], [2, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[2, 1], [2, 0], [2, 1], [2, 0], [2, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[1, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [1, 0], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [1, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 1], [1, 0], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 1], [1, 1], [3, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 1], [2, 1], [3, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 1], [3, 1], [3, 1]]}, 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&#34;pos&#34;: [[2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 2], [2, 2], [3, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [2, 2], [3, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 2], [2, 2], [3, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [2, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 2], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 2], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [3, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [2, 2], [3, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [3, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 2], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [3, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [3, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 2], [2, 0], [2, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [3, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [2, 0], [2, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[2, 2], [2, 0], [2, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [3, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [2, 0], [2, 2], [2, 0], [2, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[2, 2], [2, 0], [2, 2], [2, 0], [2, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}], 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&#34;pos&#34;: [[2, 2], [2, 2], [3, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 2], [1, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 2], [1, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 2], [2, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 2], [2, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[1, 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2], [2, 0], [2, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[2, 2], [2, 0], [2, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [3, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [1, 1], [1, 2], [1, 1], [1, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [2, 0], [2, 2], [2, 0], [2, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[1, 2], [1, 1], [1, 2], [1, 1], [1, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[1, 2], [2, 0], [2, 2], [2, 0], [2, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[2, 2], [2, 0], [2, 2], [2, 0], [2, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}]}}}]}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;EquivalencePathRule&#34;, &#34;rules&#34;: [{&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;EquivalenceRule&#34;, &#34;original_rule&#34;: {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, 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[0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [3, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [3, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 2], [2, 0], [2, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [3, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [2, 0], [2, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[2, 2], [2, 0], [2, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [3, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [2, 0], [2, 2], [2, 0], [2, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[2, 2], [2, 0], [2, 2], [2, 0], [2, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 2], [1, 2], [2, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 2], [1, 2], [3, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 2], [2, 2], [3, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 2], [2, 2], [3, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 2], [1, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 2], [1, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 2], [2, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 2], [2, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[1, 2], [1, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[1, 2], [1, 2], [3, 2]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[1, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[1, 2], [2, 2], [3, 2]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[1, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[2, 2], [2, 2], [3, 2]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[2, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 2], [1, 2], [2, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 2], [1, 2], [3, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 2], [2, 2], [3, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 2], [2, 2], [3, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 2], [1, 2], [2, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 2], [1, 2], [3, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 2], [2, 2], [3, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 2], [1, 2], [2, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 2], [1, 2], [3, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 2], [2, 2], [3, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 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2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 2], [2, 2], [3, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 2], [2, 2], [3, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[1, 1], [1, 2], [1, 2], [1, 1]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[1, 1], [1, 2], [1, 2], [1, 1]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[1, 2], [1, 1], [1, 2], [1, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[0, 2], [1, 1], [1, 2], [1, 1]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[1, 2], [1, 1], [1, 2], [1, 1]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[0, 2], [1, 2], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [1, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [1, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 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2], [0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [3, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [2, 0], [2, 2], [2, 0], [2, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[1, 2], [2, 0], [2, 2], [2, 0], [2, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[2, 2], [2, 0], [2, 2], [2, 0], [2, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}]}}}]}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;EquivalencePathRule&#34;, &#34;rules&#34;: [{&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;EquivalenceRule&#34;, &#34;original_rule&#34;: {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, 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{&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [2, 3], [3, 3]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[1, 1], [1, 3], [1, 1], [1, 3], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[1, 1], [1, 3], [1, 2], [1, 3], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[2, 0], [2, 3], [2, 0], [2, 3], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [1, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [2, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [3, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 1], [1, 3], [1, 3], [1, 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[0, 3], [0, 3], [1, 3]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [2, 3]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [3, 3]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 3], [1, 3], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 3], [1, 3], [1, 2], [1, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 3], [2, 3], [2, 0], [2, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [1, 3]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [2, 3]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [3, 3]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [1, 1], [1, 1], [1, 3], [1, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 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&#34;pos&#34;: [[0, 3], [1, 1], [1, 3], [1, 2], [1, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [2, 0], [2, 3], [2, 0], [2, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[1, 3], [1, 1], [1, 3], [1, 1], [1, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[1, 3], [1, 1], [1, 3], [1, 2], [1, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[1, 3], [2, 0], [2, 3], [2, 0], [2, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[2, 3], [2, 0], [2, 3], [2, 0], [2, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 3], [2, 3], [3, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 3], [2, 3], [3, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[2, 3], [2, 3], [3, 3]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[2, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 3], [2, 3], [3, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 3], [2, 3], [3, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [2, 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{&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 2], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 2], [1, 2], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [2, 3]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [3, 3]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [2, 3], [3, 3]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 3], [2, 3], [2, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [2, 3]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [3, 3]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 3], [2, 3], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [2, 3]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [3, 3]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [2, 3], [3, 3]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[2, 0], [2, 3], [2, 0], [2, 3], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [2, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [3, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[2, 0], [2, 3], [2, 3], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [2, 3]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [3, 3]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 3], [2, 0], [2, 3], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [2, 3]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [3, 3]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 3], [2, 3], [2, 0], [2, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [2, 3]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [3, 3]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [2, 0], [2, 0], [2, 3], [2, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[2, 3], [2, 0], [2, 0], [2, 3], [2, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [2, 3]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [3, 3]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [2, 0], [2, 3], [2, 0], [2, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[2, 3], [2, 0], [2, 3], [2, 0], [2, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 3], [1, 3], [2, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 3], [1, 3], [3, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 3], [2, 3], [3, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 3], [2, 3], [3, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 3], [1, 3], [2, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 3], [1, 3], [3, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 3], [2, 3], [3, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 3], [2, 3], [3, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[1, 3], [1, 3], [2, 3]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[1, 3], [1, 3], [3, 3]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[1, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[1, 3], [2, 3], [3, 3]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[1, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[2, 3], [2, 3], [3, 3]]}, {&#34;patt&#34;: [1, 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{&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [1, 0], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[1, 2], [1, 0], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [1, 0], [1, 2], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[1, 2], [1, 0], [1, 2], [1, 0], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 4], [2, 4], [2, 4]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 4], [2, 4], [3, 4]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 4], [3, 4], [3, 4]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[3, 4], [3, 4], [3, 4]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 4], [2, 4], [2, 4]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 4], [2, 4], [3, 4]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 4], [3, 4], [3, 4]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 4], [3, 4], [3, 4]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[2, 4], [2, 4], [2, 4]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[2, 4], [2, 4], [3, 4]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[2, 4], [3, 4], [3, 4]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[3, 4], [3, 4], [3, 4]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 4], [2, 4], [2, 4]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 4], [2, 4], [3, 4]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 4], [3, 4], [3, 4]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 4], [3, 4], [3, 4]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 4], [2, 4], [2, 4]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 4], [2, 4], [3, 4]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 4], [3, 4], [3, 4]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 4], [2, 4], [2, 4]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 4], [2, 4], [3, 4]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 4], [3, 4], [3, 4]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[3, 4], [3, 4], [3, 4]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 4], [2, 4], [2, 4]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 4], [2, 4], [3, 4]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 4], [3, 4], [3, 4]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 4], [2, 4], [2, 4]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 4], [2, 4], [3, 4]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 4], [3, 4], [3, 4]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 4], [3, 4], [3, 4]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [0, 4]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 1], [0, 3], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 1], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 1], [0, 4], [0, 4], [2, 4]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 1], [0, 4], [0, 4], [3, 4]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 1], [0, 4], [2, 4], [2, 4]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 1], [0, 4], [2, 4], [3, 4]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 1], [0, 4], [3, 4], [3, 4]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 3], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 3], [0, 4], [0, 4], [2, 4]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 3], [0, 4], [0, 4], [3, 4]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 3], [0, 4], [2, 4], [2, 4]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 3], [0, 4], [2, 4], [3, 4]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 3], [0, 4], [3, 4], [3, 4]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 3], [0, 4], [0, 3]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 3], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 4], [0, 4], [2, 4]]}, {&#34;patt&#34;: [0, 1, 3, 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{&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 1], [0, 4], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 3], [0, 4], [0, 3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [2, 4]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [3, 4]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 4], [3, 0], [3, 4], [3, 0], [3, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[2, 4], [3, 0], [3, 4], [3, 0], [3, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[3, 4], [3, 0], [3, 4], [3, 0], [3, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 4]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_placement&#34;, &#34;strategy_class&#34;: &#34;RequirementPlacementStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], &#34;indices&#34;: [0], &#34;direction&#34;: 0, &#34;own_col&#34;: true, &#34;own_row&#34;: true, &#34;include_empty&#34;: false}}, &#34;idx&#34;: 0}]}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;EquivalencePathRule&#34;, &#34;rules&#34;: [{&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;ReverseRule&#34;, &#34;original_rule&#34;: {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: 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{&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 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4], [0, 4], [0, 4], [0, 4], [0, 4]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_placement&#34;, &#34;strategy_class&#34;: &#34;RequirementPlacementStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}], &#34;indices&#34;: [0], &#34;direction&#34;: 3, &#34;own_col&#34;: true, &#34;own_row&#34;: true, &#34;include_empty&#34;: false}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: 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2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [1, 0], [1, 2], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 2], [0, 4], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: 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0, 2, 3, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [1, 0], [1, 2], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 2], [0, 4], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_placement&#34;, &#34;strategy_class&#34;: &#34;RequirementPlacementStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}], &#34;indices&#34;: [0], &#34;direction&#34;: 0, &#34;own_col&#34;: true, &#34;own_row&#34;: true, &#34;include_empty&#34;: false}}, &#34;idx&#34;: 0}]}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;EquivalencePathRule&#34;, &#34;rules&#34;: [{&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[1, 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1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [0, 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{&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 1], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 1], [2, 0], [2, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [2, 0], [2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [2, 0], [2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[2, 1], [2, 0], [2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [2, 0], [2, 1], [2, 0], [2, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [2, 0], [2, 1], [2, 0], [2, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[2, 1], [2, 0], [2, 1], [2, 0], [2, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [3, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [3, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 3], [3, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 1], [3, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 3], [3, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [1, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [3, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [3, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [3, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [3, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [3, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 3], [3, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 3], [3, 3]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [1, 3]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [1, 3]]}, 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[0, 1], [0, 3], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 3], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_placement&#34;, &#34;strategy_class&#34;: &#34;RequirementPlacementStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}], &#34;indices&#34;: [0], &#34;direction&#34;: 0, &#34;own_col&#34;: true, &#34;own_row&#34;: true, &#34;include_empty&#34;: false}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0, 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{&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 3], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1], [0, 3], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 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[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 3], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], 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{&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 3], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 3], [0, 3], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 3], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1], [0, 3], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 3], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1], [0, 3], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 1], [0, 3], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 3], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 4]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.row_and_col_separation&#34;, &#34;strategy_class&#34;: &#34;RowColumnSeparationStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;inferrable&#34;: true, &#34;possibly_empty&#34;: false, &#34;workable&#34;: true}}]}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;EquivalencePathRule&#34;, &#34;rules&#34;: 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0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [2, 0], [2, 2], [2, 0], [2, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[1, 2], [2, 0], [2, 2], [2, 0], [2, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[2, 2], [2, 0], [2, 2], [2, 0], [2, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 4], [2, 4], [2, 4]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 4], [2, 4], [3, 4]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 4], [2, 4], [4, 4]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 4], [3, 4], [3, 4]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 4], [3, 4], [4, 4]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 4], [4, 4], [4, 4]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[3, 4], [3, 4], [3, 4]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[3, 4], [3, 4], [4, 4]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[3, 4], [4, 4], [4, 4]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[4, 4], [4, 4], [4, 4]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 4], [2, 4], [2, 4]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 4], [2, 4], [3, 4]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 4], [2, 4], [4, 4]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 4], [3, 4], [3, 4]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 4], [3, 4], [4, 4]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 4], [4, 4], [4, 4]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 4], [3, 4], [3, 4]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 4], [3, 4], [4, 4]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 4], [4, 4], [4, 4]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[4, 4], [4, 4], [4, 4]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[2, 4], [2, 4], [2, 4]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[2, 4], [2, 4], [3, 4]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[2, 4], [2, 4], [4, 4]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[2, 4], [3, 4], [3, 4]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[2, 4], [3, 4], [4, 4]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[2, 4], [4, 4], [4, 4]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[3, 4], [3, 4], [3, 4]]}, 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&#34;pos&#34;: [[0, 3], [2, 0], [2, 0], [2, 3], [2, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[1, 3], [2, 0], [2, 0], [2, 3], [2, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[2, 3], [2, 0], [2, 0], [2, 3], [2, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 3], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [1, 3]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [2, 3]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [2, 0], [2, 3], [2, 0], [2, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[1, 3], [2, 0], [2, 3], [2, 0], [2, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[2, 3], [2, 0], [2, 3], [2, 0], [2, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 3], [1, 5]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 3], [3, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 3], [3, 5]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 5], [1, 5]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 5], [3, 5]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 4], [2, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 3], [3, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 3], [3, 5]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 5], [3, 5]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 5], [1, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 5], [1, 5]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 5], [3, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 5], [3, 5]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [3, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 5], [1, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 5], [1, 5]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 5], [3, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 5], [3, 5]]}, {&#34;patt&#34;: [1, 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{&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 3], [1, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 3], [1, 5]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 3], [3, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 3], [3, 5]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 5], [1, 5]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 5], [3, 5]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [1, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [3, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 5], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [1, 3]]}, {&#34;patt&#34;: [0, 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0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [2, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.row_and_col_separation&#34;, &#34;strategy_class&#34;: &#34;RowColumnSeparationStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;inferrable&#34;: true, &#34;possibly_empty&#34;: false, &#34;workable&#34;: true}}]}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;EquivalencePathRule&#34;, &#34;rules&#34;: [{&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, 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0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [1, 0], [1, 2], [1, 0], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.obstruction_inferral&#34;, &#34;strategy_class&#34;: &#34;ObstructionInferralStrategy&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}]}}]}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;EquivalencePathRule&#34;, &#34;rules&#34;: [{&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;ReverseRule&#34;, &#34;original_rule&#34;: {&#34;class_module&#34;: 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{&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [1, 0], [1, 2], [1, 0], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.obstruction_inferral&#34;, &#34;strategy_class&#34;: &#34;ObstructionInferralStrategy&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}]}}, &#34;idx&#34;: 0}]}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;EquivalencePathRule&#34;, 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{&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 4], [2, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 4], [2, 4]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.row_and_col_separation&#34;, &#34;strategy_class&#34;: &#34;RowColumnSeparationStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;inferrable&#34;: true, &#34;possibly_empty&#34;: false, &#34;workable&#34;: true}}]}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;EquivalencePathRule&#34;, &#34;rules&#34;: [{&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 3], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 3], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 3], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 3], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 3], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 3], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 3], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[2, 3], [2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[2, 3], [2, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}], 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3], [0, 2], [0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 4], [3, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 4], [3, 4]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 2], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 3], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 3], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 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{&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 4]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.row_and_col_separation&#34;, &#34;strategy_class&#34;: &#34;RowColumnSeparationStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;inferrable&#34;: true, &#34;possibly_empty&#34;: false, &#34;workable&#34;: true}}]}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;EquivalencePathRule&#34;, &#34;rules&#34;: [{&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;EquivalenceRule&#34;, &#34;original_rule&#34;: {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 1], [1, 1], [3, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 1], [2, 1], [3, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 1], [2, 1], [3, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [2, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 1], [2, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [3, 1]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[1, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[1, 1], [2, 1], [3, 1]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[1, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [3, 1]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[2, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [3, 1]]}, {&#34;patt&#34;: [1, 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1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 1], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 1], [2, 0], [2, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [2, 0], [2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [2, 0], [2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[2, 1], [2, 0], [2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [2, 0], [2, 1], [2, 0], [2, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [2, 0], [2, 1], [2, 0], [2, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[2, 1], [2, 0], [2, 1], [2, 0], [2, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 1], [1, 1], [3, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 1], [2, 1], [3, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 1], [2, 1], [3, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [2, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 1], [2, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [3, 1]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[1, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[1, 1], [2, 1], [3, 1]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[1, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [3, 1]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[2, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [3, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [2, 1], [3, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 1], [2, 1], [3, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 1], [1, 1], [3, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 1], [2, 1], [3, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 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[3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [2, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 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1], [3, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [3, 0], [3, 0], [3, 1], [3, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[2, 1], [3, 0], [3, 0], [3, 1], [3, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[3, 1], [3, 0], [3, 0], [3, 1], [3, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [3, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [3, 0], [3, 1], [3, 0], [3, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [3, 0], [3, 1], [3, 0], [3, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[2, 1], [3, 0], [3, 1], [3, 0], [3, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[3, 1], [3, 0], [3, 1], [3, 0], [3, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [2, 1], [2, 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{&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 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{&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 1], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 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[2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[2, 1], [2, 0], [2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [2, 0], [2, 1], [2, 0], [2, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [2, 0], [2, 1], [2, 0], [2, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[2, 1], [2, 0], [2, 1], [2, 0], [2, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: 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0], [3, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [3, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[3, 0], [3, 2], [3, 0], [3, 2], [3, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [3, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[3, 0], [3, 2], [3, 2], [3, 0], [3, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [3, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [3, 0], [3, 0], [3, 2], [3, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[1, 2], [3, 0], [3, 0], [3, 2], [3, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[2, 2], [3, 0], [3, 0], [3, 2], [3, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[3, 2], [3, 0], [3, 0], [3, 2], [3, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [3, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [3, 0], [3, 2], [3, 0], [3, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[1, 2], [3, 0], [3, 2], [3, 0], [3, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[2, 2], [3, 0], [3, 2], [3, 0], [3, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[3, 2], [3, 0], [3, 2], [3, 0], [3, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 2], [1, 2], [2, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 2], [1, 2], [3, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 2], [2, 2], [3, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 2], [2, 2], [3, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 2], [1, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 2], [1, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 2], [2, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 2], [2, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[1, 2], [1, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[1, 2], [1, 2], [3, 2]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[1, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[1, 2], [2, 2], [3, 2]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[1, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[2, 2], [2, 2], [3, 2]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[2, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 2], [1, 2], [2, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 2], [1, 2], [3, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 2], [2, 2], [3, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 2], [2, 2], [3, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 2], [1, 2], [2, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 2], [1, 2], [3, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 2], [2, 2], [3, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 2], [2, 2], [3, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 2], [1, 2], [2, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 2], [1, 2], [3, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 2], [2, 2], [3, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 2], [2, 2], [3, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 2], [3, 2], [3, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 2], [3, 2], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[3, 0], [3, 2], [3, 0], [3, 2], [3, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[3, 0], [3, 2], [3, 2], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[3, 0], [3, 2], [3, 0], [3, 2], [3, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[3, 0], [3, 2], [3, 2], [3, 0], [3, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[1, 2], [3, 0], [3, 0], [3, 2], [3, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[2, 2], [3, 0], [3, 0], [3, 2], [3, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[3, 2], [3, 0], [3, 0], [3, 2], [3, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[1, 2], [3, 0], [3, 2], [3, 0], [3, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[2, 2], [3, 0], [3, 2], [3, 0], [3, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[3, 2], [3, 0], [3, 2], [3, 0], [3, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 2], [1, 2], [2, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 2], [1, 2], [3, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 2], [2, 2], [3, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 2], [2, 2], [3, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 2], [1, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 2], [1, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 2], [2, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 2], [2, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[1, 2], [1, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[1, 2], [1, 2], [3, 2]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[1, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[1, 2], [2, 2], [3, 2]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[1, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[2, 2], [2, 2], [3, 2]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[2, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 2], [1, 2], [2, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 2], [1, 2], [3, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 2], [2, 2], [3, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 2], [2, 2], [3, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 2], [1, 2], [2, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 2], [1, 2], [3, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 2], [2, 2], [3, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 2], [1, 2], [2, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 2], [1, 2], [3, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 2], [2, 2], [3, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 2], [2, 2], [3, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [1, 2], [2, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [1, 2], [3, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [2, 2], [3, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 2], [1, 2], [2, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 2], [1, 2], [3, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 2], [2, 2], [3, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 2], [2, 2], [3, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [3, 2]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 1], [0, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 1], [0, 2], [1, 2], [2, 2]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 1], [0, 2], [1, 2], [3, 2]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 1], [0, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 1], [0, 2], [2, 2], [3, 2]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 1], [0, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [3, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 2], [1, 2], [2, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 2], [1, 2], [3, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 2], [2, 2], [3, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 1], [0, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 1], [0, 2], [1, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 1], [0, 2], [1, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 1], [0, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 1], [0, 2], [2, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 1], [0, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [1, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [1, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [2, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], 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[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 2], [2, 0], [2, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [2, 0], [2, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[1, 2], [2, 0], [2, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[2, 2], [2, 0], [2, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [2, 0], [2, 2], [2, 0], [2, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[1, 2], [2, 0], [2, 2], [2, 0], [2, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[2, 2], [2, 0], [2, 2], [2, 0], [2, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 2], [1, 2], [2, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 2], [1, 2], [3, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 2], [2, 2], [3, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 2], [2, 2], [3, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 2], [1, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 2], [1, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 2], [2, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 2], [2, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[1, 2], [1, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[1, 2], [1, 2], [3, 2]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[1, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[1, 2], [2, 2], [3, 2]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[1, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[2, 2], [2, 2], [3, 2]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[2, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 2], [1, 2], [2, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 2], [1, 2], [3, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 2], [2, 2], [3, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 2], [2, 2], [3, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 2], [1, 2], [2, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 2], [1, 2], [3, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 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{&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [3, 2]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 1], [0, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 1], [0, 2], [1, 2], [2, 2]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 1], [0, 2], [1, 2], [3, 2]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 1], [0, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 1], [0, 2], [2, 2], [3, 2]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 1], [0, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 1, 3, 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2], [0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 3], [3, 3], [3, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 3], [3, 3], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[3, 0], [3, 3], [3, 0], [3, 3], [3, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[3, 0], [3, 3], [3, 3], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[3, 0], [3, 3], [3, 0], [3, 3], [3, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[3, 0], [3, 3], [3, 3], [3, 0], [3, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[1, 3], [3, 0], [3, 0], [3, 3], [3, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[2, 3], [3, 0], [3, 0], [3, 3], [3, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[3, 3], [3, 0], [3, 0], [3, 3], [3, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[1, 3], [3, 0], [3, 3], [3, 0], [3, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[2, 3], [3, 0], [3, 3], [3, 0], [3, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[3, 3], [3, 0], [3, 3], [3, 0], [3, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 3], [1, 3], [2, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 3], [1, 3], [3, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 3], [2, 3], [3, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 3], [2, 3], [3, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 3], [1, 3], [2, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 3], [1, 3], [3, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 3], [2, 3], [3, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 3], [2, 3], [3, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[1, 3], [1, 3], [2, 3]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[1, 3], [1, 3], [3, 3]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[1, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[1, 3], [2, 3], [3, 3]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[1, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[2, 3], [2, 3], [3, 3]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[2, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 3], [1, 3], [2, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 3], [1, 3], [3, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 3], [2, 3], [3, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 3], [2, 3], [3, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 3], [1, 3], [2, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 3], [1, 3], [3, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 3], [2, 3], [3, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 3], [1, 3], [2, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 3], [1, 3], [3, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 3], [2, 3], [3, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 3], [2, 3], [3, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[3, 3], [3, 3], [3, 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2], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 1], [0, 3], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [1, 3]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [2, 3]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [3, 3]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [3, 0], [3, 0], [3, 3], [3, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[1, 3], [3, 0], [3, 0], [3, 3], [3, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[2, 3], [3, 0], [3, 0], [3, 3], [3, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[3, 3], [3, 0], [3, 0], [3, 3], [3, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 3], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [1, 3]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [2, 3]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [3, 3]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [3, 0], [3, 3], [3, 0], [3, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[1, 3], [3, 0], [3, 3], [3, 0], [3, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[2, 3], [3, 0], [3, 3], [3, 0], [3, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[3, 3], [3, 0], [3, 3], [3, 0], [3, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}]}}}]}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;EquivalencePathRule&#34;, &#34;rules&#34;: [{&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 3], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 3], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [2, 3], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 3], [3, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 3], [3, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [3, 3], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [3, 0], [3, 3], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [3, 3], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.row_and_col_separation&#34;, &#34;strategy_class&#34;: &#34;RowColumnSeparationStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;inferrable&#34;: true, &#34;possibly_empty&#34;: false, &#34;workable&#34;: true}}]}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;EquivalencePathRule&#34;, &#34;rules&#34;: [{&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;EquivalenceRule&#34;, &#34;original_rule&#34;: {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [2, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [2, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 1], [2, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [2, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]}}}]}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;EquivalencePathRule&#34;, &#34;rules&#34;: [{&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;EquivalenceRule&#34;, &#34;original_rule&#34;: {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 3], [2, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 3], [2, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 3], [2, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 4], [2, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [2, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 4], [2, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 4], [2, 4]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 3], [1, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 3], [2, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 3], [2, 4]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 3], [1, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 3], [2, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 3], [2, 4]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [1, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [2, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [1, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [2, 3]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], 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{&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_placement&#34;, &#34;strategy_class&#34;: &#34;RequirementPlacementStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], &#34;indices&#34;: [0], &#34;direction&#34;: 1, &#34;own_col&#34;: true, &#34;own_row&#34;: true, &#34;include_empty&#34;: false}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.row_and_col_separation&#34;, &#34;strategy_class&#34;: &#34;RowColumnSeparationStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;inferrable&#34;: true, &#34;possibly_empty&#34;: false, &#34;workable&#34;: true}}]}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;VerificationRule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.verification&#34;, &#34;strategy_class&#34;: &#34;BasicVerificationStrategy&#34;}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;VerificationRule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}, &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.verification&#34;, &#34;strategy_class&#34;: &#34;BasicVerificationStrategy&#34;}}, {&#34;class_module&#34;: &#34;tilings.strategies.verification&#34;, &#34;rule_class&#34;: &#34;OneByOneVerificationRule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.verification&#34;, &#34;strategy_class&#34;: &#34;OneByOneVerificationStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;basis&#34;: [[0, 2, 3, 4, 1], [0, 2, 4, 3, 1], [0, 3, 2, 4, 1], [0, 3, 4, 2, 1], [0, 4, 2, 3, 1], [0, 4, 3, 2, 1], [4, 0, 2, 3, 1], [4, 0, 3, 2, 1]], &#34;symmetry&#34;: true}}, {&#34;class_module&#34;: &#34;tilings.strategies.verification&#34;, &#34;rule_class&#34;: &#34;OneByOneVerificationRule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}, &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.verification&#34;, &#34;strategy_class&#34;: &#34;OneByOneVerificationStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;basis&#34;: [[0, 2, 3, 4, 1], [0, 2, 4, 3, 1], [0, 3, 2, 4, 1], [0, 3, 4, 2, 1], [0, 4, 2, 3, 1], [0, 4, 3, 2, 1], [4, 0, 2, 3, 1], [4, 0, 3, 2, 1]], &#34;symmetry&#34;: true}}]}<br /><br />

  Specification 2<br />
  Strategy pack name: point_placements_tracked_fusion_tracked_component_fusion_symmetries<br />
  Tree: http://www.permpal.com/tree/24860/<br />
  System of equations in Maple syntax:<br />
  
    F[0,x] = F[1,x]+F[2,x]<br />
  
    F[1,x] = 1<br />
  
    F[2,x] = F[3,x]<br />
  
    F[3,x] = F[37,x]*F[4,x]<br />
  
    F[4,x] = F[0,x]+F[5,x]<br />
  
    F[5,x] = F[6,x,1]<br />
  
    F[6,x,k[0]] = F[7,x,k[0]]+F[86,x,k[0]]<br />
  
    F[7,x,k[0]] = F[8,x,k[0]]<br />
  
    F[8,x,k[0]] = F[10,x,k[0]]*F[9,x,k[0]]<br />
  
    F[9,x,k[0]] = k[0]*x<br />
  
    F[10,x,k[0]] = F[11,x,k[0]]<br />
  
    F[11,x,k[0]] = F[12,x,k[0]]+F[23,x,k[0]]<br />
  
    F[12,x,k[0]] = F[1,x]+F[13,x,k[0]]<br />
  
    F[13,x,k[0]] = F[14,x,k[0]]<br />
  
    F[14,x,k[0]] = F[15,x,k[0]]*F[9,x,k[0]]<br />
  
    F[15,x,k[0]] = F[12,x,k[0]]+F[16,x,k[0]]<br />
  
    F[16,x,k[0]] = F[17,x,k[0]]+F[20,x,k[0]]<br />
  
    F[17,x,k[0]] = F[18,x,k[0]]<br />
  
    F[18,x,k[0]] = F[19,x,k[0]]*F[9,x,k[0]]<br />
  
    F[19,x,k[0]] = F[1,x]+F[17,x,k[0]]<br />
  
    F[20,x,k[0]] = F[21,x,k[0]]<br />
  
    F[21,x,k[0]] = F[22,x,k[0]]*F[9,x,k[0]]<br />
  
    F[22,x,k[0]] = F[13,x,k[0]]+F[20,x,k[0]]<br />
  
    F[23,x,k[0]] = F[24,x,k[0]]+F[7,x,k[0]]<br />
  
    F[24,x,k[0]] = F[25,x]+F[26,x,k[0]]+F[42,x,k[0]]<br />
  
    F[25,x] = 0<br />
  
    F[26,x,k[0]] = F[27,x,k[0]]*F[9,x,k[0]]<br />
  
    F[27,x,k[0]] = F[28,x,k[0]]+F[29,x,k[0]]<br />
  
    F[28,x,k[0]] = F[13,x,k[0]]+F[24,x,k[0]]<br />
  
    F[29,x,k[0]] = F[30,x,k[0]]+F[45,x,k[0]]<br />
  
    F[30,x,k[0]] = F[25,x]+F[31,x,k[0]]+F[42,x,k[0]]<br />
  
    F[31,x,k[0]] = F[32,x,k[0]]*F[9,x,k[0]]<br />
  
    F[32,x,k[0]] = F[33,x,k[0]]+F[41,x,k[0]]<br />
  
    F[33,x,k[0]] = F[13,x,k[0]]+F[34,x,k[0]]<br />
  
    F[34,x,k[0]] = k[0]*F[35,x,k[0]]<br />
  
    F[35,x,k[0]] = F[25,x]+F[36,x,k[0]]+F[38,x,k[0]]<br />
  
    F[36,x,k[0]] = F[13,x,k[0]]*F[37,x]<br />
  
    F[37,x] = x<br />
  
    F[38,x,k[0]] = F[39,x,k[0]]*F[9,x,k[0]]<br />
  
    F[39,x,k[0]] = F[40,x,k[0]]<br />
  
    F[40,x,k[0]] = F[35,x,k[0]]+F[37,x]<br />
  
    F[41,x,k[0]] = F[34,x,k[0]]<br />
  
    F[42,x,k[0]] = F[43,x,k[0]]*F[9,x,k[0]]<br />
  
    F[43,x,k[0]] = F[44,x,k[0]]<br />
  
    F[44,x,k[0]] = F[34,x,k[0]]+F[9,x,k[0]]<br />
  
    F[45,x,k[0]] = F[25,x]+F[46,x,k[0]]+F[69,x,k[0]]+F[77,x,k[0]]<br />
  
    F[46,x,k[0]] = F[47,x,k[0]]*F[9,x,k[0]]<br />
  
    F[47,x,k[0]] = F[48,x,k[0]]+F[68,x,k[0]]<br />
  
    F[48,x,k[0]] = F[24,x,k[0]]+F[49,x,k[0]]<br />
  
    F[49,x,k[0]] = k[0]*F[50,x,k[0]]<br />
  
    F[50,x,k[0]] = F[25,x]+F[51,x,k[0]]+F[52,x,k[0]]+F[60,x,k[0]]<br />
  
    F[51,x,k[0]] = F[24,x,k[0]]*F[37,x]<br />
  
    F[52,x,k[0]] = F[53,x,k[0]]*F[9,x,k[0]]<br />
  
    F[53,x,k[0]] = F[54,x,k[0]]+F[55,x,k[0]]<br />
  
    F[54,x,k[0]] = F[35,x,k[0]]+F[50,x,k[0]]<br />
  
    F[55,x,k[0]] = F[56,x,k[0]]+F[61,x,k[0]]<br />
  
    F[56,x,k[0]] = F[25,x]+F[57,x,k[0]]+F[58,x,k[0]]+F[60,x,k[0]]<br />
  
    F[57,x,k[0]] = F[34,x,k[0]]*F[37,x]<br />
  
    F[58,x,k[0]] = F[59,x,k[0]]*F[9,x,k[0]]<br />
  
    F[59,x,k[0]] = F[35,x,k[0]]<br />
  
    F[60,x,k[0]] = 0<br />
  
    F[61,x,k[0]] = F[25,x]+F[62,x,k[0]]+F[63,x,k[0]]+F[65,x,k[0]]+F[67,x,k[0]]<br />
  
    F[62,x,k[0]] = F[37,x]*F[49,x,k[0]]<br />
  
    F[63,x,k[0]] = F[64,x,k[0]]*F[9,x,k[0]]<br />
  
    F[64,x,k[0]] = F[50,x,k[0]]<br />
  
    F[65,x,k[0]] = F[66,x,k[0]]*F[9,x,k[0]]<br />
  
    F[66,x,k[0]] = F[55,x,k[0]]<br />
  
    F[67,x,k[0]] = 0<br />
  
    F[68,x,k[0]] = F[49,x,k[0]]<br />
  
    F[69,x,k[0]] = F[70,x,k[0]]*F[9,x,k[0]]<br />
  
    F[70,x,k[0]] = F[29,x,k[0]]+F[71,x,k[0]]<br />
  
    F[71,x,k[0]] = F[72,x,k[0]]+F[78,x,k[0]]<br />
  
    F[72,x,k[0]] = F[25,x]+F[73,x,k[0]]+F[75,x,k[0]]+F[77,x,k[0]]<br />
  
    F[73,x,k[0]] = F[74,x,k[0]]*F[9,x,k[0]]<br />
  
    F[74,x,k[0]] = F[34,x,k[0]]<br />
  
    F[75,x,k[0]] = F[76,x,k[0]]*F[9,x,k[0]]<br />
  
    F[76,x,k[0]] = F[41,x,k[0]]<br />
  
    F[77,x,k[0]] = 0<br />
  
    F[78,x,k[0]] = F[25,x]+F[79,x,k[0]]+F[81,x,k[0]]+F[83,x,k[0]]+F[85,x,k[0]]<br />
  
    F[79,x,k[0]] = F[80,x,k[0]]*F[9,x,k[0]]<br />
  
    F[80,x,k[0]] = F[49,x,k[0]]<br />
  
    F[81,x,k[0]] = F[82,x,k[0]]*F[9,x,k[0]]<br />
  
    F[82,x,k[0]] = F[68,x,k[0]]<br />
  
    F[83,x,k[0]] = F[84,x,k[0]]*F[9,x,k[0]]<br />
  
    F[84,x,k[0]] = F[71,x,k[0]]<br />
  
    F[85,x,k[0]] = 0<br />
  
    F[86,x,k[0]] = F[87,x,k[0]]<br />
  
    F[87,x,k[0]] = F[37,x]*F[88,x,k[0]]<br />
  
    F[88,x,k[0]] = F[89,x,k[0]]+F[90,x,k[0]]<br />
  
    F[89,x,k[0]] = -k[0]*(F[6,x,1]-F[6,x,k[0]])/(-1+k[0])<br />
  
    F[90,x,k[0]] = F[91,x,k[0]]<br />
  
    F[91,x,k[0]] = F[9,x,k[0]]*F[92,x,k[0]]<br />
  
    F[93,x,k[0]] = F[37,x]*F[92,x,k[0]]<br />
  
    F[93,x,k[0]] = F[94,x,k[0]]<br />
  
    F[94,x,k[0]] = F[95,x,k[0]]+F[96,x,k[0]]<br />
  
    F[95,x,k[0]] = F[2,x]+F[86,x,k[0]]<br />
  
    F[96,x,k[0]] = F[97,x,k[0]]<br />
  
    F[97,x,k[0]] = F[9,x,k[0]]*F[98,x,k[0]]<br />
  
    F[98,x,k[0]] = F[418,x,k[0]]+F[99,x,k[0]]<br />
  
    F[99,x,k[0]] = F[100,x,k[0]]+F[403,x,k[0]]<br />
  
    F[100,x,k[0]] = F[101,x,k[0]]+F[401,x,k[0]]<br />
  
    F[101,x,k[0]] = F[102,x,k[0]]+F[103,x,k[0]]<br />
  
    F[102,x,k[0]] = F[19,x,k[0]]*F[2,x]<br />
  
    F[103,x,k[0]] = F[104,x,k[0]]<br />
  
    F[104,x,k[0]] = F[105,x,k[0]]*F[19,x,k[0]]*F[9,x,k[0]]<br />
  
    F[105,x,k[0]] = F[106,x,k[0]]+F[108,x,k[0]]<br />
  
    F[106,x,k[0]] = F[107,x,k[0]]*F[19,x,k[0]]<br />
  
    F[100,x,k[0]] = F[107,x,k[0]]+F[108,x,k[0]]<br />
  
    F[109,x,k[0]] = F[108,x,k[0]]+F[111,x,k[0]]<br />
  
    F[110,x,k[0]] = F[109,x,k[0]]*F[9,x,k[0]]<br />
  
    F[110,x,k[0]] = F[6,x,k[0]]<br />
  
    F[111,x,k[0]] = F[112,x,k[0]]+F[385,x,k[0]]<br />
  
    F[112,x,k[0]] = F[0,x]+F[113,x,k[0]]<br />
  
    F[113,x,k[0]] = F[114,x,k[0]]<br />
  
    F[114,x,k[0]] = F[115,x,k[0]]*F[9,x,k[0]]<br />
  
    F[115,x,k[0]] = F[116,x,k[0]]+F[122,x,k[0]]<br />
  
    F[116,x,k[0]] = F[112,x,k[0]]+F[117,x,k[0]]<br />
  
    F[117,x,k[0]] = k[0]*F[118,x,k[0]]<br />
  
    F[118,x,k[0]] = F[119,x,k[0]]<br />
  
    F[119,x,k[0]] = F[120,x,k[0]]*F[37,x]<br />
  
    F[121,x,k[0]] = F[120,x,k[0]]*F[9,x,k[0]]<br />
  
    F[121,x,k[0]] = F[113,x,k[0]]<br />
  
    F[122,x,k[0]] = F[123,x,k[0]]<br />
  
    F[123,x,k[0]] = F[124,x,k[0]]*F[37,x]<br />
  
    F[124,x,k[0]] = F[125,x,k[0]]+F[383,x,k[0]]<br />
  
    F[125,x,k[0]] = F[126,x]+F[172,x,k[0]]<br />
  
    F[126,x] = -F[171,x]+F[127,x]<br />
  
    F[127,x] = 1/F[37,x]*F[128,x]<br />
  
    F[128,x] = F[129,x]<br />
  
    F[129,x] = F[130,x]+F[160,x]<br />
  
    F[130,x] = F[131,x]+F[2,x]<br />
  
    F[131,x] = F[132,x]<br />
  
    F[132,x] = F[133,x]*F[37,x]<br />
  
    F[133,x] = F[134,x]+F[138,x]<br />
  
    F[134,x] = F[135,x]*F[137,x]<br />
  
    F[135,x] = 1/F[37,x]*F[136,x]<br />
  
    F[136,x] = F[2,x]<br />
  
    F[137,x] = (1+F[137,x])*x+F[137,x]^2<br />
  
    F[138,x] = F[139,x]+F[148,x]<br />
  
    F[139,x] = F[140,x]+F[144,x]<br />
  
    F[140,x] = -F[143,x]+F[141,x]<br />
  
    F[141,x] = 1/F[37,x]*F[142,x]<br />
  
    F[142,x] = F[2,x]<br />
  
    F[143,x] = 2+F[143,x]^2+(-2+x)*F[143,x]<br />
  
    F[144,x] = F[145,x]*F[2,x]<br />
  
    F[145,x] = F[146,x,1]<br />
  
    F[146,x,k[0]] = -k[0]*(F[147,x,1]-F[147,x,k[0]])/(-1+k[0])<br />
  
    F[147,x,k[0]] = x*(1+F[147,x,k[0]])*k[0]+F[147,x,k[0]]^2<br />
  
    F[148,x] = F[149,x]*F[150,x]<br />
  
    F[149,x] = -F[0,x]+F[135,x]<br />
  
    F[150,x] = -F[143,x]+F[151,x]<br />
  
    F[151,x] = F[152,x,1]<br />
  
    F[152,x,k[0]] = F[153,x,k[0]]+F[154,x,k[0]]<br />
  
    F[153,x,k[0]] = x*F[153,x,k[0]]*k[0]+F[153,x,k[0]]^2-2*F[153,x,k[0]]+2<br />
  
    F[154,x,k[0]] = F[155,x,k[0]]<br />
  
    F[155,x,k[0]] = F[153,x,k[0]]*F[156,x,k[0]]*F[37,x]<br />
  
    F[156,x,k[0]] = F[152,x,k[0]]+F[157,x,k[0]]<br />
  
    F[157,x,k[0]] = F[158,x,k[0]]<br />
  
    F[158,x,k[0]] = F[152,x,k[0]]*F[159,x]*F[37,x]<br />
  
    F[159,x] = F[156,x,1]<br />
  
    F[160,x] = F[161,x]<br />
  
    F[161,x] = F[162,x]*F[37,x]<br />
  
    F[162,x] = F[163,x]<br />
  
    F[163,x] = F[164,x]*F[37,x]<br />
  
    F[164,x] = F[165,x]+F[170,x]<br />
  
    F[165,x] = F[135,x]+F[166,x]<br />
  
    F[166,x] = F[167,x]*F[2,x]<br />
  
    F[167,x] = F[143,x]+F[168,x]<br />
  
    F[168,x] = F[169,x]<br />
  
    F[169,x] = F[151,x]*F[167,x]*F[37,x]<br />
  
    F[170,x] = F[130,x]*F[167,x]<br />
  
    F[171,x] = F[162,x]<br />
  
    F[173,x,k[0]] = F[172,x,k[0]]+F[382,x,k[0]]<br />
  
    F[174,x,k[0]] = F[173,x,k[0]]*F[37,x]<br />
  
    F[174,x,k[0]] = F[175,x,k[0]]<br />
  
    F[175,x,k[0]] = F[176,x,k[0]]+F[340,x,k[0]]<br />
  
    F[177,x,k[0]] = F[113,x,k[0]]+F[176,x,k[0]]<br />
  
    F[178,x,k[0]] = F[177,x,k[0]]+F[339,x]<br />
  
    F[178,x,k[0]] = F[179,x,k[0]]+F[180,x,k[0]]<br />
  
    F[179,x,k[0]] = F[0,x]*F[12,x,k[0]]<br />
  
    F[180,x,k[0]] = F[181,x,k[0]]<br />
  
    F[181,x,k[0]] = F[182,x,k[0]]*F[37,x]<br />
  
    F[182,x,k[0]] = F[183,x,k[0]]+F[251,x,k[0]]<br />
  
    F[183,x,k[0]] = F[143,x]*F[184,x,k[0]]<br />
  
    F[185,x,k[0]] = F[184,x,k[0]]*F[37,x]<br />
  
    F[185,x,k[0]] = F[186,x,k[0]]<br />
  
    F[186,x,k[0]] = F[187,x,k[0]]+F[2,x]<br />
  
    F[187,x,k[0]] = F[188,x,k[0]]<br />
  
    F[188,x,k[0]] = F[189,x,k[0]]*F[9,x,k[0]]<br />
  
    F[190,x,k[0]] = F[189,x,k[0]]*F[195,x,k[0]]<br />
  
    F[191,x,k[0]] = F[190,x,k[0]]+F[196,x,k[0]]<br />
  
    F[192,x,k[0]] = F[191,x,k[0]]*F[9,x,k[0]]<br />
  
    F[192,x,k[0]] = F[193,x,k[0]]<br />
  
    F[107,x,k[0]] = F[193,x,k[0]]+F[194,x,k[0]]<br />
  
    F[194,x,k[0]] = F[195,x,k[0]]*F[2,x]<br />
  
    F[195,x,k[0]] = F[1,x]+F[7,x,k[0]]<br />
  
    F[196,x,k[0]] = F[197,x,k[0]]<br />
  
    F[197,x,k[0]] = k[0]*F[198,x,k[0]]<br />
  
    F[198,x,k[0]] = F[199,x,k[0]]+F[209,x,k[0]]<br />
  
    F[199,x,k[0]] = F[200,x,k[0]]<br />
  
    F[200,x,k[0]] = F[10,x,k[0]]*F[201,x,k[0]]*F[37,x]<br />
  
    F[202,x,k[0]] = F[10,x,k[0]]*F[201,x,k[0]]*F[9,x,k[0]]<br />
  
    F[202,x,k[0]] = F[203,x,k[0]]<br />
  
    F[203,x,k[0]] = F[204,x,k[0]]+F[205,x,k[0]]<br />
  
    F[204,x,k[0]] = F[2,x]*F[7,x,k[0]]<br />
  
    F[205,x,k[0]] = F[206,x,k[0]]<br />
  
    F[206,x,k[0]] = F[207,x,k[0]]*F[9,x,k[0]]<br />
  
    F[207,x,k[0]] = F[196,x,k[0]]+F[208,x,k[0]]<br />
  
    F[208,x,k[0]] = F[189,x,k[0]]*F[7,x,k[0]]<br />
  
    F[209,x,k[0]] = F[2,x]*F[210,x,k[0]]<br />
  
    F[210,x,k[0]] = F[211,x,k[0]]<br />
  
    F[211,x,k[0]] = F[10,x,k[0]]*F[212,x,k[0]]*F[37,x]<br />
  
    F[212,x,k[0]] = F[213,x,k[0]]+F[226,x,k[0]]<br />
  
    F[213,x,k[0]] = F[19,x,k[0]]+F[214,x,k[0]]<br />
  
    F[214,x,k[0]] = F[13,x,k[0]]+F[215,x,k[0]]<br />
  
    F[215,x,k[0]] = F[216,x,k[0]]<br />
  
    F[216,x,k[0]] = F[217,x,k[0]]*F[9,x,k[0]]<br />
  
    F[217,x,k[0]] = F[218,x,k[0]]+F[219,x,k[0]]<br />
  
    F[218,x,k[0]] = F[17,x,k[0]]+F[215,x,k[0]]<br />
  
    F[219,x,k[0]] = F[220,x,k[0]]+F[222,x,k[0]]<br />
  
    F[220,x,k[0]] = F[221,x,k[0]]<br />
  
    F[221,x,k[0]] = F[17,x,k[0]]*F[9,x,k[0]]<br />
  
    F[222,x,k[0]] = 2*F[25,x]+F[223,x,k[0]]+F[224,x,k[0]]<br />
  
    F[223,x,k[0]] = F[215,x,k[0]]*F[9,x,k[0]]<br />
  
    F[224,x,k[0]] = F[225,x,k[0]]*F[9,x,k[0]]<br />
  
    F[225,x,k[0]] = F[219,x,k[0]]<br />
  
    F[226,x,k[0]] = F[227,x,k[0]]+F[247,x,k[0]]<br />
  
    F[227,x,k[0]] = F[137,x]+F[228,x,k[0]]<br />
  
    F[229,x,k[0]] = F[13,x,k[0]]+F[228,x,k[0]]<br />
  
    F[229,x,k[0]] = F[230,x,k[0]]<br />
  
    F[230,x,k[0]] = F[231,x,k[0]]*F[9,x,k[0]]<br />
  
    F[231,x,k[0]] = F[232,x,k[0]]+F[244,x,k[0]]<br />
  
    F[232,x,k[0]] = F[233,x,k[0]]+F[234,x,k[0]]<br />
  
    F[233,x,k[0]] = F[143,x]+F[229,x,k[0]]<br />
  
    F[234,x,k[0]] = F[235,x,k[0]]<br />
  
    F[235,x,k[0]] = F[167,x]*F[236,x,k[0]]*F[37,x]<br />
  
    F[236,x,k[0]] = F[151,x]+F[237,x,k[0]]<br />
  
    F[238,x,k[0]] = F[237,x,k[0]]+F[240,x,k[0]]<br />
  
    F[239,x,k[0]] = F[238,x,k[0]]*F[37,x]<br />
  
    F[239,x,k[0]] = F[228,x,k[0]]<br />
  
    F[240,x,k[0]] = F[241,x,k[0]]<br />
  
    F[241,x,k[0]] = F[19,x,k[0]]*F[242,x,k[0]]*F[9,x,k[0]]<br />
  
    F[243,x,k[0]] = F[19,x,k[0]]*F[242,x,k[0]]*F[37,x]<br />
  
    F[243,x,k[0]] = F[226,x,k[0]]<br />
  
    F[244,x,k[0]] = k[0]*F[245,x,k[0]]<br />
  
    F[245,x,k[0]] = F[246,x,k[0]]<br />
  
    F[246,x,k[0]] = F[167,x]*F[212,x,k[0]]*F[37,x]<br />
  
    F[247,x,k[0]] = F[248,x,k[0]]<br />
  
    F[248,x,k[0]] = F[249,x,k[0]]*F[9,x,k[0]]<br />
  
    F[249,x,k[0]] = F[226,x,k[0]]+F[250,x,k[0]]<br />
  
    F[250,x,k[0]] = F[137,x]*F[212,x,k[0]]<br />
  
    F[251,x,k[0]] = F[252,x,k[0]]<br />
  
    F[252,x,k[0]] = F[253,x,k[0]]+F[268,x,k[0]]<br />
  
    F[253,x,k[0]] = F[12,x,k[0]]*F[254,x,k[0]]<br />
  
    F[254,x,k[0]] = F[255,x,k[0]]+F[256,x,k[0]]<br />
  
    F[255,x,k[0]] = F[140,x]*F[19,x,k[0]]<br />
  
    F[256,x,k[0]] = F[145,x]*F[257,x,k[0]]<br />
  
    F[257,x,k[0]] = F[258,x,k[0]]<br />
  
    F[258,x,k[0]] = F[19,x,k[0]]*F[259,x,k[0]]*F[37,x]<br />
  
    F[259,x,k[0]] = F[260,x,k[0]]+F[4,x]<br />
  
    F[260,x,k[0]] = F[261,x,k[0]]<br />
  
    F[261,x,k[0]] = F[262,x,k[0]]*F[9,x,k[0]]<br />
  
    F[262,x,k[0]] = F[259,x,k[0]]+F[263,x,k[0]]<br />
  
    F[263,x,k[0]] = F[2,x]*F[264,x,k[0]]<br />
  
    F[264,x,k[0]] = F[265,x]+F[266,x,k[0]]<br />
  
    F[265,x] = F[233,x,1]<br />
  
    F[266,x,k[0]] = F[267,x,k[0]]<br />
  
    F[267,x,k[0]] = F[143,x]*F[264,x,k[0]]*F[9,x,k[0]]<br />
  
    F[268,x,k[0]] = F[150,x]*F[269,x,k[0]]<br />
  
    F[270,x,k[0]] = F[167,x]*F[269,x,k[0]]<br />
  
    F[271,x,k[0]] = F[270,x,k[0]]+F[335,x,k[0]]<br />
  
    F[272,x,k[0]] = F[271,x,k[0]]*F[37,x]<br />
  
    F[272,x,k[0]] = F[273,x,k[0]]<br />
  
    F[273,x,k[0]] = F[274,x,k[0]]+F[275,x,k[0]]<br />
  
    F[274,x,k[0]] = F[135,x]*F[40,x,k[0]]<br />
  
    F[275,x,k[0]] = F[276,x,k[0]]<br />
  
    F[276,x,k[0]] = F[167,x]*F[277,x,k[0]]*F[37,x]<br />
  
    F[277,x,k[0]] = F[278,x,k[0]]+F[279,x,k[0]]<br />
  
    F[278,x,k[0]] = F[186,x,k[0]]*F[19,x,k[0]]<br />
  
    F[279,x,k[0]] = F[280,x,k[0]]+F[287,x,k[0]]<br />
  
    F[280,x,k[0]] = F[281,x]+F[282,x,k[0]]<br />
  
    F[281,x] = -F[0,x]+F[135,x]<br />
  
    F[283,x,k[0]] = F[113,x,k[0]]+F[282,x,k[0]]<br />
  
    F[283,x,k[0]] = F[284,x,k[0]]<br />
  
    F[284,x,k[0]] = F[285,x,k[0]]*F[9,x,k[0]]<br />
  
    F[124,x,k[0]] = F[285,x,k[0]]+F[286,x,k[0]]<br />
  
    F[286,x,k[0]] = F[273,x,k[0]]<br />
  
    F[288,x,k[0]] = F[287,x,k[0]]+F[334,x,k[0]]<br />
  
    F[288,x,k[0]] = F[289,x,k[0]]<br />
  
    F[289,x,k[0]] = F[290,x,k[0]]*F[9,x,k[0]]<br />
  
    F[291,x,k[0]] = F[290,x,k[0]]*F[37,x]<br />
  
    F[291,x,k[0]] = F[292,x,k[0]]<br />
  
    F[292,x,k[0]] = F[293,x]+F[299,x,k[0]]<br />
  
    F[293,x] = F[294,x]<br />
  
    F[294,x] = F[295,x]*F[37,x]<br />
  
    F[295,x] = F[296,x]+F[298,x]<br />
  
    F[296,x] = F[0,x]+F[297,x]<br />
  
    F[297,x] = F[143,x]*F[2,x]<br />
  
    F[298,x] = F[143,x]*F[281,x]<br />
  
    F[299,x,k[0]] = F[300,x,k[0]]<br />
  
    F[300,x,k[0]] = F[301,x,k[0]]*F[37,x]<br />
  
    F[301,x,k[0]] = F[302,x,k[0]]+F[308,x,k[0]]<br />
  
    F[302,x,k[0]] = F[283,x,k[0]]+F[303,x,k[0]]<br />
  
    F[303,x,k[0]] = F[304,x,k[0]]+F[307,x,k[0]]<br />
  
    F[304,x,k[0]] = F[305,x,k[0]]+F[306,x,k[0]]<br />
  
    F[305,x,k[0]] = F[13,x,k[0]]*F[2,x]<br />
  
    F[306,x,k[0]] = F[137,x]*F[187,x,k[0]]<br />
  
    F[307,x,k[0]] = F[137,x]*F[282,x,k[0]]<br />
  
    F[308,x,k[0]] = F[288,x,k[0]]+F[309,x,k[0]]<br />
  
    F[310,x,k[0]] = F[303,x,k[0]]+F[309,x,k[0]]<br />
  
    F[310,x,k[0]] = F[311,x,k[0]]+F[324,x,k[0]]<br />
  
    F[312,x,k[0]] = F[311,x,k[0]]+F[321,x,k[0]]<br />
  
    F[312,x,k[0]] = F[313,x,k[0]]<br />
  
    F[313,x,k[0]] = F[314,x,k[0]]*F[9,x,k[0]]<br />
  
    F[314,x,k[0]] = F[315,x,k[0]]+F[316,x,k[0]]<br />
  
    F[315,x,k[0]] = F[19,x,k[0]]*F[295,x]<br />
  
    F[316,x,k[0]] = F[143,x]*F[317,x,k[0]]<br />
  
    F[317,x,k[0]] = F[318,x,k[0]]<br />
  
    F[318,x,k[0]] = F[19,x,k[0]]*F[319,x,k[0]]*F[37,x]<br />
  
    F[319,x,k[0]] = F[262,x,k[0]]+F[320,x,k[0]]<br />
  
    F[320,x,k[0]] = F[264,x,k[0]]*F[281,x]<br />
  
    F[321,x,k[0]] = F[322,x,k[0]]<br />
  
    F[322,x,k[0]] = F[323,x,k[0]]*F[9,x,k[0]]<br />
  
    F[323,x,k[0]] = F[295,x]+F[312,x,k[0]]<br />
  
    F[325,x,k[0]] = F[324,x,k[0]]+F[331,x,k[0]]<br />
  
    F[325,x,k[0]] = F[326,x,k[0]]+F[330,x,k[0]]<br />
  
    F[326,x,k[0]] = F[19,x,k[0]]*F[327,x,k[0]]<br />
  
    F[327,x,k[0]] = F[304,x,k[0]]+F[328,x]<br />
  
    F[328,x] = F[2,x]+F[329,x]<br />
  
    F[329,x] = F[137,x]*F[2,x]<br />
  
    F[330,x,k[0]] = F[137,x]*F[279,x,k[0]]<br />
  
    F[331,x,k[0]] = F[311,x,k[0]]+F[332,x]<br />
  
    F[332,x] = F[328,x]+F[333,x]<br />
  
    F[333,x] = F[137,x]*F[281,x]<br />
  
    F[334,x,k[0]] = F[112,x,k[0]]*F[17,x,k[0]]<br />
  
    F[335,x,k[0]] = F[12,x,k[0]]*F[336,x,k[0]]<br />
  
    F[336,x,k[0]] = F[337,x,k[0]]+F[338,x,k[0]]<br />
  
    F[337,x,k[0]] = F[135,x]*F[19,x,k[0]]<br />
  
    F[338,x,k[0]] = F[167,x]*F[257,x,k[0]]<br />
  
    F[339,x] = F[0,x]+F[130,x]<br />
  
    F[340,x,k[0]] = F[341,x,k[0]]<br />
  
    F[341,x,k[0]] = F[342,x,k[0]]*F[37,x]<br />
  
    F[343,x,k[0]] = F[162,x]+F[342,x,k[0]]<br />
  
    F[344,x,k[0]] = F[343,x,k[0]]*F[37,x]<br />
  
    F[344,x,k[0]] = F[345,x,k[0]]<br />
  
    F[345,x,k[0]] = F[346,x,k[0]]+F[347,x,k[0]]<br />
  
    F[346,x,k[0]] = F[2,x]*F[40,x,k[0]]<br />
  
    F[347,x,k[0]] = F[348,x,k[0]]<br />
  
    F[348,x,k[0]] = F[349,x,k[0]]*F[37,x]<br />
  
    F[349,x,k[0]] = F[350,x,k[0]]+F[356,x,k[0]]<br />
  
    F[350,x,k[0]] = F[351,x,k[0]]<br />
  
    F[351,x,k[0]] = F[137,x]*F[352,x,k[0]]<br />
  
    F[352,x,k[0]] = F[353,x,k[0]]<br />
  
    F[353,x,k[0]] = F[19,x,k[0]]*F[354,x,k[0]]*F[37,x]<br />
  
    F[355,x,k[0]] = F[354,x,k[0]]*F[37,x]<br />
  
    F[355,x,k[0]] = F[186,x,k[0]]<br />
  
    F[356,x,k[0]] = F[357,x,k[0]]<br />
  
    F[357,x,k[0]] = F[137,x]*F[19,x,k[0]]*F[358,x,k[0]]*F[37,x]<br />
  
    F[359,x,k[0]] = F[358,x,k[0]]*F[9,x,k[0]]<br />
  
    F[359,x,k[0]] = F[360,x,k[0]]<br />
  
    F[360,x,k[0]] = F[361,x,k[0]]*F[9,x,k[0]]<br />
  
    F[361,x,k[0]] = F[362,x,k[0]]+F[380,x,k[0]]<br />
  
    F[362,x,k[0]] = F[363,x]+F[373,x,k[0]]<br />
  
    F[363,x] = -F[366,x]+F[364,x]<br />
  
    F[364,x] = 1/F[37,x]*F[365,x]<br />
  
    F[365,x] = F[129,x]<br />
  
    F[366,x] = F[367,x]<br />
  
    F[367,x] = F[368,x]<br />
  
    F[368,x] = F[369,x]*F[37,x]<br />
  
    F[369,x] = F[370,x]+F[372,x]<br />
  
    F[370,x] = F[371,x]+F[4,x]<br />
  
    F[371,x] = F[2,x]*F[265,x]<br />
  
    F[372,x] = F[130,x]*F[265,x]<br />
  
    F[374,x,k[0]] = F[373,x,k[0]]+F[376,x,k[0]]<br />
  
    F[375,x,k[0]] = F[37,x]*F[374,x,k[0]]<br />
  
    F[375,x,k[0]] = F[175,x,k[0]]<br />
  
    F[376,x,k[0]] = F[377,x,k[0]]<br />
  
    F[378,x,k[0]] = F[367,x]+F[377,x,k[0]]<br />
  
    F[379,x,k[0]] = F[37,x]*F[378,x,k[0]]<br />
  
    F[379,x,k[0]] = F[345,x,k[0]]<br />
  
    F[380,x,k[0]] = F[381,x,k[0]]<br />
  
    F[381,x,k[0]] = k[0]*F[378,x,k[0]]<br />
  
    F[382,x,k[0]] = F[342,x,k[0]]<br />
  
    F[383,x,k[0]] = F[384,x,k[0]]<br />
  
    F[384,x,k[0]] = k[0]*F[343,x,k[0]]<br />
  
    F[385,x,k[0]] = F[203,x,k[0]]+F[386,x,k[0]]<br />
  
    F[386,x,k[0]] = F[387,x,k[0]]+F[7,x,k[0]]<br />
  
    F[387,x,k[0]] = F[25,x]+F[388,x,k[0]]+F[397,x,k[0]]<br />
  
    F[388,x,k[0]] = F[389,x,k[0]]*F[9,x,k[0]]<br />
  
    F[389,x,k[0]] = F[386,x,k[0]]+F[390,x,k[0]]<br />
  
    F[390,x,k[0]] = F[391,x,k[0]]+F[394,x,k[0]]<br />
  
    F[391,x,k[0]] = F[392,x,k[0]]<br />
  
    F[392,x,k[0]] = F[393,x,k[0]]*F[9,x,k[0]]<br />
  
    F[393,x,k[0]] = F[391,x,k[0]]+F[7,x,k[0]]<br />
  
    F[394,x,k[0]] = F[395,x,k[0]]<br />
  
    F[395,x,k[0]] = F[396,x,k[0]]*F[9,x,k[0]]<br />
  
    F[396,x,k[0]] = F[387,x,k[0]]+F[394,x,k[0]]<br />
  
    F[397,x,k[0]] = F[398,x,k[0]]*F[9,x,k[0]]<br />
  
    F[398,x,k[0]] = F[399,x,k[0]]+F[400,x,k[0]]<br />
  
    F[399,x,k[0]] = F[17,x,k[0]]+F[391,x,k[0]]<br />
  
    F[400,x,k[0]] = F[20,x,k[0]]+F[394,x,k[0]]<br />
  
    F[109,x,k[0]] = F[401,x,k[0]]+F[402,x,k[0]]<br />
  
    F[402,x,k[0]] = F[10,x,k[0]]+F[101,x,k[0]]<br />
  
    F[403,x,k[0]] = k[0]*F[404,x,k[0]]<br />
  
    F[404,x,k[0]] = F[405,x,k[0]]<br />
  
    F[405,x,k[0]] = F[37,x]*F[406,x,k[0]]<br />
  
    F[407,x,k[0]] = F[406,x,k[0]]+F[409,x,k[0]]<br />
  
    F[408,x,k[0]] = F[407,x,k[0]]*F[9,x,k[0]]<br />
  
    F[408,x,k[0]] = F[193,x,k[0]]<br />
  
    F[409,x,k[0]] = F[410,x,k[0]]<br />
  
    F[410,x,k[0]] = k[0]*F[411,x,k[0]]<br />
  
    F[411,x,k[0]] = F[412,x,k[0]]+F[415,x,k[0]]<br />
  
    F[412,x,k[0]] = F[2,x]*F[413,x,k[0]]<br />
  
    F[413,x,k[0]] = F[414,x,k[0]]<br />
  
    F[414,x,k[0]] = F[10,x,k[0]]*F[19,x,k[0]]*F[37,x]<br />
  
    F[415,x,k[0]] = F[143,x]*F[416,x,k[0]]<br />
  
    F[416,x,k[0]] = F[417,x,k[0]]<br />
  
    F[417,x,k[0]] = F[10,x,k[0]]*F[257,x,k[0]]*F[37,x]<br />
  
    F[418,x,k[0]] = F[419,x,k[0]]<br />
  
    F[419,x,k[0]] = k[0]*F[420,x,k[0]]<br />
  
    F[420,x,k[0]] = F[421,x,k[0]]<br />
  
    F[421,x,k[0]] = F[37,x]*F[422,x,k[0]]<br />
  
    F[422,x,k[0]] = F[106,x,k[0]]+F[423,x,k[0]]<br />
  
    F[423,x,k[0]] = F[424,x,k[0]]+F[460,x,k[0]]<br />
  
    F[424,x,k[0]] = F[425,x,k[0]]+F[426,x,k[0]]<br />
  
    F[425,x,k[0]] = F[195,x,k[0]]*F[281,x]<br />
  
    F[427,x,k[0]] = F[426,x,k[0]]+F[458,x,k[0]]<br />
  
    F[428,x,k[0]] = F[427,x,k[0]]+F[430,x,k[0]]<br />
  
    F[429,x,k[0]] = F[37,x]*F[428,x,k[0]]<br />
  
    F[429,x,k[0]] = F[193,x,k[0]]<br />
  
    F[430,x,k[0]] = F[431,x,k[0]]<br />
  
    F[431,x,k[0]] = F[432,x,k[0]]*F[9,x,k[0]]<br />
  
    F[432,x,k[0]] = F[433,x,k[0]]+F[454,x,k[0]]<br />
  
    F[433,x,k[0]] = F[434,x,k[0]]+F[446,x,k[0]]<br />
  
    F[434,x,k[0]] = F[19,x,k[0]]*F[435,x,k[0]]<br />
  
    F[435,x,k[0]] = F[436,x,k[0]]+F[439,x,k[0]]<br />
  
    F[436,x,k[0]] = F[430,x,k[0]]+F[437,x,k[0]]<br />
  
    F[437,x,k[0]] = F[427,x,k[0]]+F[438,x,k[0]]<br />
  
    F[438,x,k[0]] = F[135,x]*F[195,x,k[0]]<br />
  
    F[439,x,k[0]] = F[440,x,k[0]]<br />
  
    F[440,x,k[0]] = F[441,x,k[0]]+F[445,x,k[0]]<br />
  
    F[441,x,k[0]] = F[19,x,k[0]]*F[442,x,k[0]]<br />
  
    F[442,x,k[0]] = F[443,x,k[0]]+F[444,x,k[0]]<br />
  
    F[443,x,k[0]] = F[10,x,k[0]]*F[2,x]<br />
  
    F[444,x,k[0]] = F[107,x,k[0]]*F[137,x]<br />
  
    F[445,x,k[0]] = F[137,x]*F[423,x,k[0]]<br />
  
    F[446,x,k[0]] = F[447,x,k[0]]<br />
  
    F[447,x,k[0]] = k[0]*F[448,x,k[0]]<br />
  
    F[448,x,k[0]] = F[449,x,k[0]]<br />
  
    F[450,x,k[0]] = F[449,x,k[0]]+F[452,x,k[0]]<br />
  
    F[451,x,k[0]] = F[37,x]*F[450,x,k[0]]<br />
  
    F[451,x,k[0]] = F[404,x,k[0]]<br />
  
    F[452,x,k[0]] = F[453,x,k[0]]<br />
  
    F[453,x,k[0]] = F[19,x,k[0]]*F[37,x]*F[435,x,k[0]]<br />
  
    F[454,x,k[0]] = F[455,x,k[0]]<br />
  
    F[455,x,k[0]] = k[0]*F[456,x,k[0]]<br />
  
    F[457,x,k[0]] = F[37,x]*F[456,x,k[0]]<br />
  
    F[457,x,k[0]] = F[416,x,k[0]]<br />
  
    F[458,x,k[0]] = F[193,x,k[0]]+F[459,x,k[0]]<br />
  
    F[459,x,k[0]] = F[28,x,k[0]]<br />
  
    F[461,x,k[0]] = F[460,x,k[0]]+F[467,x,k[0]]<br />
  
    F[461,x,k[0]] = F[462,x,k[0]]<br />
  
    F[462,x,k[0]] = F[463,x,k[0]]*F[9,x,k[0]]<br />
  
    F[463,x,k[0]] = F[464,x,k[0]]+F[466,x,k[0]]<br />
  
    F[464,x,k[0]] = F[19,x,k[0]]*F[465,x,k[0]]<br />
  
    F[465,x,k[0]] = F[111,x,k[0]]+F[442,x,k[0]]<br />
  
    F[466,x,k[0]] = F[143,x]*F[423,x,k[0]]<br />
  
    F[467,x,k[0]] = F[111,x,k[0]]*F[17,x,k[0]]<br />
  
  System of equations in latex syntax:<br />
  
    F_{0}\! \left(x \right) = F_{1}\! \left(x \right)+F_{2}\! \left(x \right)<br />
  
    F_{1}\! \left(x \right) = 1<br />
  
    F_{2}\! \left(x \right) = F_{3}\! \left(x \right)<br />
  
    F_{3}\! \left(x \right) = F_{37}\! \left(x \right) F_{4}\! \left(x \right)<br />
  
    F_{4}\! \left(x \right) = F_{0}\! \left(x \right)+F_{5}\! \left(x \right)<br />
  
    F_{5}\! \left(x \right) = F_{6}\! \left(x , 1\right)<br />
  
    F_{6}\! \left(x , y\right) = F_{7}\! \left(x , y\right)+F_{86}\! \left(x , y\right)<br />
  
    F_{7}\! \left(x , y\right) = F_{8}\! \left(x , y\right)<br />
  
    F_{8}\! \left(x , y\right) = F_{10}\! \left(x , y\right) F_{9}\! \left(x , y\right)<br />
  
    F_{9}\! \left(x , y\right) = y x<br />
  
    F_{10}\! \left(x , y\right) = F_{11}\! \left(x , y\right)<br />
  
    F_{11}\! \left(x , y\right) = F_{12}\! \left(x , y\right)+F_{23}\! \left(x , y\right)<br />
  
    F_{12}\! \left(x , y\right) = F_{1}\! \left(x \right)+F_{13}\! \left(x , y\right)<br />
  
    F_{13}\! \left(x , y\right) = F_{14}\! \left(x , y\right)<br />
  
    F_{14}\! \left(x , y\right) = F_{15}\! \left(x , y\right) F_{9}\! \left(x , y\right)<br />
  
    F_{15}\! \left(x , y\right) = F_{12}\! \left(x , y\right)+F_{16}\! \left(x , y\right)<br />
  
    F_{16}\! \left(x , y\right) = F_{17}\! \left(x , y\right)+F_{20}\! \left(x , y\right)<br />
  
    F_{17}\! \left(x , y\right) = F_{18}\! \left(x , y\right)<br />
  
    F_{18}\! \left(x , y\right) = F_{19}\! \left(x , y\right) F_{9}\! \left(x , y\right)<br />
  
    F_{19}\! \left(x , y\right) = F_{1}\! \left(x \right)+F_{17}\! \left(x , y\right)<br />
  
    F_{20}\! \left(x , y\right) = F_{21}\! \left(x , y\right)<br />
  
    F_{21}\! \left(x , y\right) = F_{22}\! \left(x , y\right) F_{9}\! \left(x , y\right)<br />
  
    F_{22}\! \left(x , y\right) = F_{13}\! \left(x , y\right)+F_{20}\! \left(x , y\right)<br />
  
    F_{23}\! \left(x , y\right) = F_{24}\! \left(x , y\right)+F_{7}\! \left(x , y\right)<br />
  
    F_{24}\! \left(x , y\right) = F_{25}\! \left(x \right)+F_{26}\! \left(x , y\right)+F_{42}\! \left(x , y\right)<br />
  
    F_{25}\! \left(x \right) = 0<br />
  
    F_{26}\! \left(x , y\right) = F_{27}\! \left(x , y\right) F_{9}\! \left(x , y\right)<br />
  
    F_{27}\! \left(x , y\right) = F_{28}\! \left(x , y\right)+F_{29}\! \left(x , y\right)<br />
  
    F_{28}\! \left(x , y\right) = F_{13}\! \left(x , y\right)+F_{24}\! \left(x , y\right)<br />
  
    F_{29}\! \left(x , y\right) = F_{30}\! \left(x , y\right)+F_{45}\! \left(x , y\right)<br />
  
    F_{30}\! \left(x , y\right) = F_{25}\! \left(x \right)+F_{31}\! \left(x , y\right)+F_{42}\! \left(x , y\right)<br />
  
    F_{31}\! \left(x , y\right) = F_{32}\! \left(x , y\right) F_{9}\! \left(x , y\right)<br />
  
    F_{32}\! \left(x , y\right) = F_{33}\! \left(x , y\right)+F_{41}\! \left(x , y\right)<br />
  
    F_{33}\! \left(x , y\right) = F_{13}\! \left(x , y\right)+F_{34}\! \left(x , y\right)<br />
  
    F_{34}\! \left(x , y\right) = y F_{35}\! \left(x , y\right)<br />
  
    F_{35}\! \left(x , y\right) = F_{25}\! \left(x \right)+F_{36}\! \left(x , y\right)+F_{38}\! \left(x , y\right)<br />
  
    F_{36}\! \left(x , y\right) = F_{13}\! \left(x , y\right) F_{37}\! \left(x \right)<br />
  
    F_{37}\! \left(x \right) = x<br />
  
    F_{38}\! \left(x , y\right) = F_{39}\! \left(x , y\right) F_{9}\! \left(x , y\right)<br />
  
    F_{39}\! \left(x , y\right) = F_{40}\! \left(x , y\right)<br />
  
    F_{40}\! \left(x , y\right) = F_{35}\! \left(x , y\right)+F_{37}\! \left(x \right)<br />
  
    F_{41}\! \left(x , y\right) = F_{34}\! \left(x , y\right)<br />
  
    F_{42}\! \left(x , y\right) = F_{43}\! \left(x , y\right) F_{9}\! \left(x , y\right)<br />
  
    F_{43}\! \left(x , y\right) = F_{44}\! \left(x , y\right)<br />
  
    F_{44}\! \left(x , y\right) = F_{34}\! \left(x , y\right)+F_{9}\! \left(x , y\right)<br />
  
    F_{45}\! \left(x , y\right) = F_{25}\! \left(x \right)+F_{46}\! \left(x , y\right)+F_{69}\! \left(x , y\right)+F_{77}\! \left(x , y\right)<br />
  
    F_{46}\! \left(x , y\right) = F_{47}\! \left(x , y\right) F_{9}\! \left(x , y\right)<br />
  
    F_{47}\! \left(x , y\right) = F_{48}\! \left(x , y\right)+F_{68}\! \left(x , y\right)<br />
  
    F_{48}\! \left(x , y\right) = F_{24}\! \left(x , y\right)+F_{49}\! \left(x , y\right)<br />
  
    F_{49}\! \left(x , y\right) = y F_{50}\! \left(x , y\right)<br />
  
    F_{50}\! \left(x , y\right) = F_{25}\! \left(x \right)+F_{51}\! \left(x , y\right)+F_{52}\! \left(x , y\right)+F_{60}\! \left(x , y\right)<br />
  
    F_{51}\! \left(x , y\right) = F_{24}\! \left(x , y\right) F_{37}\! \left(x \right)<br />
  
    F_{52}\! \left(x , y\right) = F_{53}\! \left(x , y\right) F_{9}\! \left(x , y\right)<br />
  
    F_{53}\! \left(x , y\right) = F_{54}\! \left(x , y\right)+F_{55}\! \left(x , y\right)<br />
  
    F_{54}\! \left(x , y\right) = F_{35}\! \left(x , y\right)+F_{50}\! \left(x , y\right)<br />
  
    F_{55}\! \left(x , y\right) = F_{56}\! \left(x , y\right)+F_{61}\! \left(x , y\right)<br />
  
    F_{56}\! \left(x , y\right) = F_{25}\! \left(x \right)+F_{57}\! \left(x , y\right)+F_{58}\! \left(x , y\right)+F_{60}\! \left(x , y\right)<br />
  
    F_{57}\! \left(x , y\right) = F_{34}\! \left(x , y\right) F_{37}\! \left(x \right)<br />
  
    F_{58}\! \left(x , y\right) = F_{59}\! \left(x , y\right) F_{9}\! \left(x , y\right)<br />
  
    F_{59}\! \left(x , y\right) = F_{35}\! \left(x , y\right)<br />
  
    F_{60}\! \left(x , y\right) = 0<br />
  
    F_{61}\! \left(x , y\right) = F_{25}\! \left(x \right)+F_{62}\! \left(x , y\right)+F_{63}\! \left(x , y\right)+F_{65}\! \left(x , y\right)+F_{67}\! \left(x , y\right)<br />
  
    F_{62}\! \left(x , y\right) = F_{37}\! \left(x \right) F_{49}\! \left(x , y\right)<br />
  
    F_{63}\! \left(x , y\right) = F_{64}\! \left(x , y\right) F_{9}\! \left(x , y\right)<br />
  
    F_{64}\! \left(x , y\right) = F_{50}\! \left(x , y\right)<br />
  
    F_{65}\! \left(x , y\right) = F_{66}\! \left(x , y\right) F_{9}\! \left(x , y\right)<br />
  
    F_{66}\! \left(x , y\right) = F_{55}\! \left(x , y\right)<br />
  
    F_{67}\! \left(x , y\right) = 0<br />
  
    F_{68}\! \left(x , y\right) = F_{49}\! \left(x , y\right)<br />
  
    F_{69}\! \left(x , y\right) = F_{70}\! \left(x , y\right) F_{9}\! \left(x , y\right)<br />
  
    F_{70}\! \left(x , y\right) = F_{29}\! \left(x , y\right)+F_{71}\! \left(x , y\right)<br />
  
    F_{71}\! \left(x , y\right) = F_{72}\! \left(x , y\right)+F_{78}\! \left(x , y\right)<br />
  
    F_{72}\! \left(x , y\right) = F_{25}\! \left(x \right)+F_{73}\! \left(x , y\right)+F_{75}\! \left(x , y\right)+F_{77}\! \left(x , y\right)<br />
  
    F_{73}\! \left(x , y\right) = F_{74}\! \left(x , y\right) F_{9}\! \left(x , y\right)<br />
  
    F_{74}\! \left(x , y\right) = F_{34}\! \left(x , y\right)<br />
  
    F_{75}\! \left(x , y\right) = F_{76}\! \left(x , y\right) F_{9}\! \left(x , y\right)<br />
  
    F_{76}\! \left(x , y\right) = F_{41}\! \left(x , y\right)<br />
  
    F_{77}\! \left(x , y\right) = 0<br />
  
    F_{78}\! \left(x , y\right) = F_{25}\! \left(x \right)+F_{79}\! \left(x , y\right)+F_{81}\! \left(x , y\right)+F_{83}\! \left(x , y\right)+F_{85}\! \left(x , y\right)<br />
  
    F_{79}\! \left(x , y\right) = F_{80}\! \left(x , y\right) F_{9}\! \left(x , y\right)<br />
  
    F_{80}\! \left(x , y\right) = F_{49}\! \left(x , y\right)<br />
  
    F_{81}\! \left(x , y\right) = F_{82}\! \left(x , y\right) F_{9}\! \left(x , y\right)<br />
  
    F_{82}\! \left(x , y\right) = F_{68}\! \left(x , y\right)<br />
  
    F_{83}\! \left(x , y\right) = F_{84}\! \left(x , y\right) F_{9}\! \left(x , y\right)<br />
  
    F_{84}\! \left(x , y\right) = F_{71}\! \left(x , y\right)<br />
  
    F_{85}\! \left(x , y\right) = 0<br />
  
    F_{86}\! \left(x , y\right) = F_{87}\! \left(x , y\right)<br />
  
    F_{87}\! \left(x , y\right) = F_{37}\! \left(x \right) F_{88}\! \left(x , y\right)<br />
  
    F_{88}\! \left(x , y\right) = F_{89}\! \left(x , y\right)+F_{90}\! \left(x , y\right)<br />
  
    F_{89}\! \left(x , y\right) = -\frac{y \left(F_{6}\! \left(x , 1\right)-F_{6}\! \left(x , y\right)\right)}{-1+y}<br />
  
    F_{90}\! \left(x , y\right) = F_{91}\! \left(x , y\right)<br />
  
    F_{91}\! \left(x , y\right) = F_{9}\! \left(x , y\right) F_{92}\! \left(x , y\right)<br />
  
    F_{93}\! \left(x , y\right) = F_{37}\! \left(x \right) F_{92}\! \left(x , y\right)<br />
  
    F_{93}\! \left(x , y\right) = F_{94}\! \left(x , y\right)<br />
  
    F_{94}\! \left(x , y\right) = F_{95}\! \left(x , y\right)+F_{96}\! \left(x , y\right)<br />
  
    F_{95}\! \left(x , y\right) = F_{2}\! \left(x \right)+F_{86}\! \left(x , y\right)<br />
  
    F_{96}\! \left(x , y\right) = F_{97}\! \left(x , y\right)<br />
  
    F_{97}\! \left(x , y\right) = F_{9}\! \left(x , y\right) F_{98}\! \left(x , y\right)<br />
  
    F_{98}\! \left(x , y\right) = F_{418}\! \left(x , y\right)+F_{99}\! \left(x , y\right)<br />
  
    F_{99}\! \left(x , y\right) = F_{100}\! \left(x , y\right)+F_{403}\! \left(x , y\right)<br />
  
    F_{100}\! \left(x , y\right) = F_{101}\! \left(x , y\right)+F_{401}\! \left(x , y\right)<br />
  
    F_{101}\! \left(x , y\right) = F_{102}\! \left(x , y\right)+F_{103}\! \left(x , y\right)<br />
  
    F_{102}\! \left(x , y\right) = F_{19}\! \left(x , y\right) F_{2}\! \left(x \right)<br />
  
    F_{103}\! \left(x , y\right) = F_{104}\! \left(x , y\right)<br />
  
    F_{104}\! \left(x , y\right) = F_{105}\! \left(x , y\right) F_{19}\! \left(x , y\right) F_{9}\! \left(x , y\right)<br />
  
    F_{105}\! \left(x , y\right) = F_{106}\! \left(x , y\right)+F_{108}\! \left(x , y\right)<br />
  
    F_{106}\! \left(x , y\right) = F_{107}\! \left(x , y\right) F_{19}\! \left(x , y\right)<br />
  
    F_{100}\! \left(x , y\right) = F_{107}\! \left(x , y\right)+F_{108}\! \left(x , y\right)<br />
  
    F_{109}\! \left(x , y\right) = F_{108}\! \left(x , y\right)+F_{111}\! \left(x , y\right)<br />
  
    F_{110}\! \left(x , y\right) = F_{109}\! \left(x , y\right) F_{9}\! \left(x , y\right)<br />
  
    F_{110}\! \left(x , y\right) = F_{6}\! \left(x , y\right)<br />
  
    F_{111}\! \left(x , y\right) = F_{112}\! \left(x , y\right)+F_{385}\! \left(x , y\right)<br />
  
    F_{112}\! \left(x , y\right) = F_{0}\! \left(x \right)+F_{113}\! \left(x , y\right)<br />
  
    F_{113}\! \left(x , y\right) = F_{114}\! \left(x , y\right)<br />
  
    F_{114}\! \left(x , y\right) = F_{115}\! \left(x , y\right) F_{9}\! \left(x , y\right)<br />
  
    F_{115}\! \left(x , y\right) = F_{116}\! \left(x , y\right)+F_{122}\! \left(x , y\right)<br />
  
    F_{116}\! \left(x , y\right) = F_{112}\! \left(x , y\right)+F_{117}\! \left(x , y\right)<br />
  
    F_{117}\! \left(x , y\right) = y F_{118}\! \left(x , y\right)<br />
  
    F_{118}\! \left(x , y\right) = F_{119}\! \left(x , y\right)<br />
  
    F_{119}\! \left(x , y\right) = F_{120}\! \left(x , y\right) F_{37}\! \left(x \right)<br />
  
    F_{121}\! \left(x , y\right) = F_{120}\! \left(x , y\right) F_{9}\! \left(x , y\right)<br />
  
    F_{121}\! \left(x , y\right) = F_{113}\! \left(x , y\right)<br />
  
    F_{122}\! \left(x , y\right) = F_{123}\! \left(x , y\right)<br />
  
    F_{123}\! \left(x , y\right) = F_{124}\! \left(x , y\right) F_{37}\! \left(x \right)<br />
  
    F_{124}\! \left(x , y\right) = F_{125}\! \left(x , y\right)+F_{383}\! \left(x , y\right)<br />
  
    F_{125}\! \left(x , y\right) = F_{126}\! \left(x \right)+F_{172}\! \left(x , y\right)<br />
  
    F_{126}\! \left(x \right) = -F_{171}\! \left(x \right)+F_{127}\! \left(x \right)<br />
  
    F_{127}\! \left(x \right) = \frac{F_{128}\! \left(x \right)}{F_{37}\! \left(x \right)}<br />
  
    F_{128}\! \left(x \right) = F_{129}\! \left(x \right)<br />
  
    F_{129}\! \left(x \right) = F_{130}\! \left(x \right)+F_{160}\! \left(x \right)<br />
  
    F_{130}\! \left(x \right) = F_{131}\! \left(x \right)+F_{2}\! \left(x \right)<br />
  
    F_{131}\! \left(x \right) = F_{132}\! \left(x \right)<br />
  
    F_{132}\! \left(x \right) = F_{133}\! \left(x \right) F_{37}\! \left(x \right)<br />
  
    F_{133}\! \left(x \right) = F_{134}\! \left(x \right)+F_{138}\! \left(x \right)<br />
  
    F_{134}\! \left(x \right) = F_{135}\! \left(x \right) F_{137}\! \left(x \right)<br />
  
    F_{135}\! \left(x \right) = \frac{F_{136}\! \left(x \right)}{F_{37}\! \left(x \right)}<br />
  
    F_{136}\! \left(x \right) = F_{2}\! \left(x \right)<br />
  
    F_{137}\! \left(x \right) = F_{137}\! \left(x \right) x +F_{137} \left(x \right)^{2}+x<br />
  
    F_{138}\! \left(x \right) = F_{139}\! \left(x \right)+F_{148}\! \left(x \right)<br />
  
    F_{139}\! \left(x \right) = F_{140}\! \left(x \right)+F_{144}\! \left(x \right)<br />
  
    F_{140}\! \left(x \right) = -F_{143}\! \left(x \right)+F_{141}\! \left(x \right)<br />
  
    F_{141}\! \left(x \right) = \frac{F_{142}\! \left(x \right)}{F_{37}\! \left(x \right)}<br />
  
    F_{142}\! \left(x \right) = F_{2}\! \left(x \right)<br />
  
    F_{143}\! \left(x \right) = F_{143}\! \left(x \right) x +F_{143} \left(x \right)^{2}-2 F_{143}\! \left(x \right)+2<br />
  
    F_{144}\! \left(x \right) = F_{145}\! \left(x \right) F_{2}\! \left(x \right)<br />
  
    F_{145}\! \left(x \right) = F_{146}\! \left(x , 1\right)<br />
  
    F_{146}\! \left(x , y\right) = -\frac{y \left(F_{147}\! \left(x , 1\right)-F_{147}\! \left(x , y\right)\right)}{-1+y}<br />
  
    F_{147}\! \left(x , y\right) = x F_{147}\! \left(x , y\right) y +y x +F_{147}\! \left(x , y\right)^{2}<br />
  
    F_{148}\! \left(x \right) = F_{149}\! \left(x \right) F_{150}\! \left(x \right)<br />
  
    F_{149}\! \left(x \right) = -F_{0}\! \left(x \right)+F_{135}\! \left(x \right)<br />
  
    F_{150}\! \left(x \right) = -F_{143}\! \left(x \right)+F_{151}\! \left(x \right)<br />
  
    F_{151}\! \left(x \right) = F_{152}\! \left(x , 1\right)<br />
  
    F_{152}\! \left(x , y\right) = F_{153}\! \left(x , y\right)+F_{154}\! \left(x , y\right)<br />
  
    F_{153}\! \left(x , y\right) = x F_{153}\! \left(x , y\right) y +F_{153}\! \left(x , y\right)^{2}-2 F_{153}\! \left(x , y\right)+2<br />
  
    F_{154}\! \left(x , y\right) = F_{155}\! \left(x , y\right)<br />
  
    F_{155}\! \left(x , y\right) = F_{153}\! \left(x , y\right) F_{156}\! \left(x , y\right) F_{37}\! \left(x \right)<br />
  
    F_{156}\! \left(x , y\right) = F_{152}\! \left(x , y\right)+F_{157}\! \left(x , y\right)<br />
  
    F_{157}\! \left(x , y\right) = F_{158}\! \left(x , y\right)<br />
  
    F_{158}\! \left(x , y\right) = F_{152}\! \left(x , y\right) F_{159}\! \left(x \right) F_{37}\! \left(x \right)<br />
  
    F_{159}\! \left(x \right) = F_{156}\! \left(x , 1\right)<br />
  
    F_{160}\! \left(x \right) = F_{161}\! \left(x \right)<br />
  
    F_{161}\! \left(x \right) = F_{162}\! \left(x \right) F_{37}\! \left(x \right)<br />
  
    F_{162}\! \left(x \right) = F_{163}\! \left(x \right)<br />
  
    F_{163}\! \left(x \right) = F_{164}\! \left(x \right) F_{37}\! \left(x \right)<br />
  
    F_{164}\! \left(x \right) = F_{165}\! \left(x \right)+F_{170}\! \left(x \right)<br />
  
    F_{165}\! \left(x \right) = F_{135}\! \left(x \right)+F_{166}\! \left(x \right)<br />
  
    F_{166}\! \left(x \right) = F_{167}\! \left(x \right) F_{2}\! \left(x \right)<br />
  
    F_{167}\! \left(x \right) = F_{143}\! \left(x \right)+F_{168}\! \left(x \right)<br />
  
    F_{168}\! \left(x \right) = F_{169}\! \left(x \right)<br />
  
    F_{169}\! \left(x \right) = F_{151}\! \left(x \right) F_{167}\! \left(x \right) F_{37}\! \left(x \right)<br />
  
    F_{170}\! \left(x \right) = F_{130}\! \left(x \right) F_{167}\! \left(x \right)<br />
  
    F_{171}\! \left(x \right) = F_{162}\! \left(x \right)<br />
  
    F_{173}\! \left(x , y\right) = F_{172}\! \left(x , y\right)+F_{382}\! \left(x , y\right)<br />
  
    F_{174}\! \left(x , y\right) = F_{173}\! \left(x , y\right) F_{37}\! \left(x \right)<br />
  
    F_{174}\! \left(x , y\right) = F_{175}\! \left(x , y\right)<br />
  
    F_{175}\! \left(x , y\right) = F_{176}\! \left(x , y\right)+F_{340}\! \left(x , y\right)<br />
  
    F_{177}\! \left(x , y\right) = F_{113}\! \left(x , y\right)+F_{176}\! \left(x , y\right)<br />
  
    F_{178}\! \left(x , y\right) = F_{177}\! \left(x , y\right)+F_{339}\! \left(x \right)<br />
  
    F_{178}\! \left(x , y\right) = F_{179}\! \left(x , y\right)+F_{180}\! \left(x , y\right)<br />
  
    F_{179}\! \left(x , y\right) = F_{0}\! \left(x \right) F_{12}\! \left(x , y\right)<br />
  
    F_{180}\! \left(x , y\right) = F_{181}\! \left(x , y\right)<br />
  
    F_{181}\! \left(x , y\right) = F_{182}\! \left(x , y\right) F_{37}\! \left(x \right)<br />
  
    F_{182}\! \left(x , y\right) = F_{183}\! \left(x , y\right)+F_{251}\! \left(x , y\right)<br />
  
    F_{183}\! \left(x , y\right) = F_{143}\! \left(x \right) F_{184}\! \left(x , y\right)<br />
  
    F_{185}\! \left(x , y\right) = F_{184}\! \left(x , y\right) F_{37}\! \left(x \right)<br />
  
    F_{185}\! \left(x , y\right) = F_{186}\! \left(x , y\right)<br />
  
    F_{186}\! \left(x , y\right) = F_{187}\! \left(x , y\right)+F_{2}\! \left(x \right)<br />
  
    F_{187}\! \left(x , y\right) = F_{188}\! \left(x , y\right)<br />
  
    F_{188}\! \left(x , y\right) = F_{189}\! \left(x , y\right) F_{9}\! \left(x , y\right)<br />
  
    F_{190}\! \left(x , y\right) = F_{189}\! \left(x , y\right) F_{195}\! \left(x , y\right)<br />
  
    F_{191}\! \left(x , y\right) = F_{190}\! \left(x , y\right)+F_{196}\! \left(x , y\right)<br />
  
    F_{192}\! \left(x , y\right) = F_{191}\! \left(x , y\right) F_{9}\! \left(x , y\right)<br />
  
    F_{192}\! \left(x , y\right) = F_{193}\! \left(x , y\right)<br />
  
    F_{107}\! \left(x , y\right) = F_{193}\! \left(x , y\right)+F_{194}\! \left(x , y\right)<br />
  
    F_{194}\! \left(x , y\right) = F_{195}\! \left(x , y\right) F_{2}\! \left(x \right)<br />
  
    F_{195}\! \left(x , y\right) = F_{1}\! \left(x \right)+F_{7}\! \left(x , y\right)<br />
  
    F_{196}\! \left(x , y\right) = F_{197}\! \left(x , y\right)<br />
  
    F_{197}\! \left(x , y\right) = y F_{198}\! \left(x , y\right)<br />
  
    F_{198}\! \left(x , y\right) = F_{199}\! \left(x , y\right)+F_{209}\! \left(x , y\right)<br />
  
    F_{199}\! \left(x , y\right) = F_{200}\! \left(x , y\right)<br />
  
    F_{200}\! \left(x , y\right) = F_{10}\! \left(x , y\right) F_{201}\! \left(x , y\right) F_{37}\! \left(x \right)<br />
  
    F_{202}\! \left(x , y\right) = F_{10}\! \left(x , y\right) F_{201}\! \left(x , y\right) F_{9}\! \left(x , y\right)<br />
  
    F_{202}\! \left(x , y\right) = F_{203}\! \left(x , y\right)<br />
  
    F_{203}\! \left(x , y\right) = F_{204}\! \left(x , y\right)+F_{205}\! \left(x , y\right)<br />
  
    F_{204}\! \left(x , y\right) = F_{2}\! \left(x \right) F_{7}\! \left(x , y\right)<br />
  
    F_{205}\! \left(x , y\right) = F_{206}\! \left(x , y\right)<br />
  
    F_{206}\! \left(x , y\right) = F_{207}\! \left(x , y\right) F_{9}\! \left(x , y\right)<br />
  
    F_{207}\! \left(x , y\right) = F_{196}\! \left(x , y\right)+F_{208}\! \left(x , y\right)<br />
  
    F_{208}\! \left(x , y\right) = F_{189}\! \left(x , y\right) F_{7}\! \left(x , y\right)<br />
  
    F_{209}\! \left(x , y\right) = F_{2}\! \left(x \right) F_{210}\! \left(x , y\right)<br />
  
    F_{210}\! \left(x , y\right) = F_{211}\! \left(x , y\right)<br />
  
    F_{211}\! \left(x , y\right) = F_{10}\! \left(x , y\right) F_{212}\! \left(x , y\right) F_{37}\! \left(x \right)<br />
  
    F_{212}\! \left(x , y\right) = F_{213}\! \left(x , y\right)+F_{226}\! \left(x , y\right)<br />
  
    F_{213}\! \left(x , y\right) = F_{19}\! \left(x , y\right)+F_{214}\! \left(x , y\right)<br />
  
    F_{214}\! \left(x , y\right) = F_{13}\! \left(x , y\right)+F_{215}\! \left(x , y\right)<br />
  
    F_{215}\! \left(x , y\right) = F_{216}\! \left(x , y\right)<br />
  
    F_{216}\! \left(x , y\right) = F_{217}\! \left(x , y\right) F_{9}\! \left(x , y\right)<br />
  
    F_{217}\! \left(x , y\right) = F_{218}\! \left(x , y\right)+F_{219}\! \left(x , y\right)<br />
  
    F_{218}\! \left(x , y\right) = F_{17}\! \left(x , y\right)+F_{215}\! \left(x , y\right)<br />
  
    F_{219}\! \left(x , y\right) = F_{220}\! \left(x , y\right)+F_{222}\! \left(x , y\right)<br />
  
    F_{220}\! \left(x , y\right) = F_{221}\! \left(x , y\right)<br />
  
    F_{221}\! \left(x , y\right) = F_{17}\! \left(x , y\right) F_{9}\! \left(x , y\right)<br />
  
    F_{222}\! \left(x , y\right) = 2 F_{25}\! \left(x \right)+F_{223}\! \left(x , y\right)+F_{224}\! \left(x , y\right)<br />
  
    F_{223}\! \left(x , y\right) = F_{215}\! \left(x , y\right) F_{9}\! \left(x , y\right)<br />
  
    F_{224}\! \left(x , y\right) = F_{225}\! \left(x , y\right) F_{9}\! \left(x , y\right)<br />
  
    F_{225}\! \left(x , y\right) = F_{219}\! \left(x , y\right)<br />
  
    F_{226}\! \left(x , y\right) = F_{227}\! \left(x , y\right)+F_{247}\! \left(x , y\right)<br />
  
    F_{227}\! \left(x , y\right) = F_{137}\! \left(x \right)+F_{228}\! \left(x , y\right)<br />
  
    F_{229}\! \left(x , y\right) = F_{13}\! \left(x , y\right)+F_{228}\! \left(x , y\right)<br />
  
    F_{229}\! \left(x , y\right) = F_{230}\! \left(x , y\right)<br />
  
    F_{230}\! \left(x , y\right) = F_{231}\! \left(x , y\right) F_{9}\! \left(x , y\right)<br />
  
    F_{231}\! \left(x , y\right) = F_{232}\! \left(x , y\right)+F_{244}\! \left(x , y\right)<br />
  
    F_{232}\! \left(x , y\right) = F_{233}\! \left(x , y\right)+F_{234}\! \left(x , y\right)<br />
  
    F_{233}\! \left(x , y\right) = F_{143}\! \left(x \right)+F_{229}\! \left(x , y\right)<br />
  
    F_{234}\! \left(x , y\right) = F_{235}\! \left(x , y\right)<br />
  
    F_{235}\! \left(x , y\right) = F_{167}\! \left(x \right) F_{236}\! \left(x , y\right) F_{37}\! \left(x \right)<br />
  
    F_{236}\! \left(x , y\right) = F_{151}\! \left(x \right)+F_{237}\! \left(x , y\right)<br />
  
    F_{238}\! \left(x , y\right) = F_{237}\! \left(x , y\right)+F_{240}\! \left(x , y\right)<br />
  
    F_{239}\! \left(x , y\right) = F_{238}\! \left(x , y\right) F_{37}\! \left(x \right)<br />
  
    F_{239}\! \left(x , y\right) = F_{228}\! \left(x , y\right)<br />
  
    F_{240}\! \left(x , y\right) = F_{241}\! \left(x , y\right)<br />
  
    F_{241}\! \left(x , y\right) = F_{19}\! \left(x , y\right) F_{242}\! \left(x , y\right) F_{9}\! \left(x , y\right)<br />
  
    F_{243}\! \left(x , y\right) = F_{19}\! \left(x , y\right) F_{242}\! \left(x , y\right) F_{37}\! \left(x \right)<br />
  
    F_{243}\! \left(x , y\right) = F_{226}\! \left(x , y\right)<br />
  
    F_{244}\! \left(x , y\right) = y F_{245}\! \left(x , y\right)<br />
  
    F_{245}\! \left(x , y\right) = F_{246}\! \left(x , y\right)<br />
  
    F_{246}\! \left(x , y\right) = F_{167}\! \left(x \right) F_{212}\! \left(x , y\right) F_{37}\! \left(x \right)<br />
  
    F_{247}\! \left(x , y\right) = F_{248}\! \left(x , y\right)<br />
  
    F_{248}\! \left(x , y\right) = F_{249}\! \left(x , y\right) F_{9}\! \left(x , y\right)<br />
  
    F_{249}\! \left(x , y\right) = F_{226}\! \left(x , y\right)+F_{250}\! \left(x , y\right)<br />
  
    F_{250}\! \left(x , y\right) = F_{137}\! \left(x \right) F_{212}\! \left(x , y\right)<br />
  
    F_{251}\! \left(x , y\right) = F_{252}\! \left(x , y\right)<br />
  
    F_{252}\! \left(x , y\right) = F_{253}\! \left(x , y\right)+F_{268}\! \left(x , y\right)<br />
  
    F_{253}\! \left(x , y\right) = F_{12}\! \left(x , y\right) F_{254}\! \left(x , y\right)<br />
  
    F_{254}\! \left(x , y\right) = F_{255}\! \left(x , y\right)+F_{256}\! \left(x , y\right)<br />
  
    F_{255}\! \left(x , y\right) = F_{140}\! \left(x \right) F_{19}\! \left(x , y\right)<br />
  
    F_{256}\! \left(x , y\right) = F_{145}\! \left(x \right) F_{257}\! \left(x , y\right)<br />
  
    F_{257}\! \left(x , y\right) = F_{258}\! \left(x , y\right)<br />
  
    F_{258}\! \left(x , y\right) = F_{19}\! \left(x , y\right) F_{259}\! \left(x , y\right) F_{37}\! \left(x \right)<br />
  
    F_{259}\! \left(x , y\right) = F_{260}\! \left(x , y\right)+F_{4}\! \left(x \right)<br />
  
    F_{260}\! \left(x , y\right) = F_{261}\! \left(x , y\right)<br />
  
    F_{261}\! \left(x , y\right) = F_{262}\! \left(x , y\right) F_{9}\! \left(x , y\right)<br />
  
    F_{262}\! \left(x , y\right) = F_{259}\! \left(x , y\right)+F_{263}\! \left(x , y\right)<br />
  
    F_{263}\! \left(x , y\right) = F_{2}\! \left(x \right) F_{264}\! \left(x , y\right)<br />
  
    F_{264}\! \left(x , y\right) = F_{265}\! \left(x \right)+F_{266}\! \left(x , y\right)<br />
  
    F_{265}\! \left(x \right) = F_{233}\! \left(x , 1\right)<br />
  
    F_{266}\! \left(x , y\right) = F_{267}\! \left(x , y\right)<br />
  
    F_{267}\! \left(x , y\right) = F_{143}\! \left(x \right) F_{264}\! \left(x , y\right) F_{9}\! \left(x , y\right)<br />
  
    F_{268}\! \left(x , y\right) = F_{150}\! \left(x \right) F_{269}\! \left(x , y\right)<br />
  
    F_{270}\! \left(x , y\right) = F_{167}\! \left(x \right) F_{269}\! \left(x , y\right)<br />
  
    F_{271}\! \left(x , y\right) = F_{270}\! \left(x , y\right)+F_{335}\! \left(x , y\right)<br />
  
    F_{272}\! \left(x , y\right) = F_{271}\! \left(x , y\right) F_{37}\! \left(x \right)<br />
  
    F_{272}\! \left(x , y\right) = F_{273}\! \left(x , y\right)<br />
  
    F_{273}\! \left(x , y\right) = F_{274}\! \left(x , y\right)+F_{275}\! \left(x , y\right)<br />
  
    F_{274}\! \left(x , y\right) = F_{135}\! \left(x \right) F_{40}\! \left(x , y\right)<br />
  
    F_{275}\! \left(x , y\right) = F_{276}\! \left(x , y\right)<br />
  
    F_{276}\! \left(x , y\right) = F_{167}\! \left(x \right) F_{277}\! \left(x , y\right) F_{37}\! \left(x \right)<br />
  
    F_{277}\! \left(x , y\right) = F_{278}\! \left(x , y\right)+F_{279}\! \left(x , y\right)<br />
  
    F_{278}\! \left(x , y\right) = F_{186}\! \left(x , y\right) F_{19}\! \left(x , y\right)<br />
  
    F_{279}\! \left(x , y\right) = F_{280}\! \left(x , y\right)+F_{287}\! \left(x , y\right)<br />
  
    F_{280}\! \left(x , y\right) = F_{281}\! \left(x \right)+F_{282}\! \left(x , y\right)<br />
  
    F_{281}\! \left(x \right) = -F_{0}\! \left(x \right)+F_{135}\! \left(x \right)<br />
  
    F_{283}\! \left(x , y\right) = F_{113}\! \left(x , y\right)+F_{282}\! \left(x , y\right)<br />
  
    F_{283}\! \left(x , y\right) = F_{284}\! \left(x , y\right)<br />
  
    F_{284}\! \left(x , y\right) = F_{285}\! \left(x , y\right) F_{9}\! \left(x , y\right)<br />
  
    F_{124}\! \left(x , y\right) = F_{285}\! \left(x , y\right)+F_{286}\! \left(x , y\right)<br />
  
    F_{286}\! \left(x , y\right) = F_{273}\! \left(x , y\right)<br />
  
    F_{288}\! \left(x , y\right) = F_{287}\! \left(x , y\right)+F_{334}\! \left(x , y\right)<br />
  
    F_{288}\! \left(x , y\right) = F_{289}\! \left(x , y\right)<br />
  
    F_{289}\! \left(x , y\right) = F_{290}\! \left(x , y\right) F_{9}\! \left(x , y\right)<br />
  
    F_{291}\! \left(x , y\right) = F_{290}\! \left(x , y\right) F_{37}\! \left(x \right)<br />
  
    F_{291}\! \left(x , y\right) = F_{292}\! \left(x , y\right)<br />
  
    F_{292}\! \left(x , y\right) = F_{293}\! \left(x \right)+F_{299}\! \left(x , y\right)<br />
  
    F_{293}\! \left(x \right) = F_{294}\! \left(x \right)<br />
  
    F_{294}\! \left(x \right) = F_{295}\! \left(x \right) F_{37}\! \left(x \right)<br />
  
    F_{295}\! \left(x \right) = F_{296}\! \left(x \right)+F_{298}\! \left(x \right)<br />
  
    F_{296}\! \left(x \right) = F_{0}\! \left(x \right)+F_{297}\! \left(x \right)<br />
  
    F_{297}\! \left(x \right) = F_{143}\! \left(x \right) F_{2}\! \left(x \right)<br />
  
    F_{298}\! \left(x \right) = F_{143}\! \left(x \right) F_{281}\! \left(x \right)<br />
  
    F_{299}\! \left(x , y\right) = F_{300}\! \left(x , y\right)<br />
  
    F_{300}\! \left(x , y\right) = F_{301}\! \left(x , y\right) F_{37}\! \left(x \right)<br />
  
    F_{301}\! \left(x , y\right) = F_{302}\! \left(x , y\right)+F_{308}\! \left(x , y\right)<br />
  
    F_{302}\! \left(x , y\right) = F_{283}\! \left(x , y\right)+F_{303}\! \left(x , y\right)<br />
  
    F_{303}\! \left(x , y\right) = F_{304}\! \left(x , y\right)+F_{307}\! \left(x , y\right)<br />
  
    F_{304}\! \left(x , y\right) = F_{305}\! \left(x , y\right)+F_{306}\! \left(x , y\right)<br />
  
    F_{305}\! \left(x , y\right) = F_{13}\! \left(x , y\right) F_{2}\! \left(x \right)<br />
  
    F_{306}\! \left(x , y\right) = F_{137}\! \left(x \right) F_{187}\! \left(x , y\right)<br />
  
    F_{307}\! \left(x , y\right) = F_{137}\! \left(x \right) F_{282}\! \left(x , y\right)<br />
  
    F_{308}\! \left(x , y\right) = F_{288}\! \left(x , y\right)+F_{309}\! \left(x , y\right)<br />
  
    F_{310}\! \left(x , y\right) = F_{303}\! \left(x , y\right)+F_{309}\! \left(x , y\right)<br />
  
    F_{310}\! \left(x , y\right) = F_{311}\! \left(x , y\right)+F_{324}\! \left(x , y\right)<br />
  
    F_{312}\! \left(x , y\right) = F_{311}\! \left(x , y\right)+F_{321}\! \left(x , y\right)<br />
  
    F_{312}\! \left(x , y\right) = F_{313}\! \left(x , y\right)<br />
  
    F_{313}\! \left(x , y\right) = F_{314}\! \left(x , y\right) F_{9}\! \left(x , y\right)<br />
  
    F_{314}\! \left(x , y\right) = F_{315}\! \left(x , y\right)+F_{316}\! \left(x , y\right)<br />
  
    F_{315}\! \left(x , y\right) = F_{19}\! \left(x , y\right) F_{295}\! \left(x \right)<br />
  
    F_{316}\! \left(x , y\right) = F_{143}\! \left(x \right) F_{317}\! \left(x , y\right)<br />
  
    F_{317}\! \left(x , y\right) = F_{318}\! \left(x , y\right)<br />
  
    F_{318}\! \left(x , y\right) = F_{19}\! \left(x , y\right) F_{319}\! \left(x , y\right) F_{37}\! \left(x \right)<br />
  
    F_{319}\! \left(x , y\right) = F_{262}\! \left(x , y\right)+F_{320}\! \left(x , y\right)<br />
  
    F_{320}\! \left(x , y\right) = F_{264}\! \left(x , y\right) F_{281}\! \left(x \right)<br />
  
    F_{321}\! \left(x , y\right) = F_{322}\! \left(x , y\right)<br />
  
    F_{322}\! \left(x , y\right) = F_{323}\! \left(x , y\right) F_{9}\! \left(x , y\right)<br />
  
    F_{323}\! \left(x , y\right) = F_{295}\! \left(x \right)+F_{312}\! \left(x , y\right)<br />
  
    F_{325}\! \left(x , y\right) = F_{324}\! \left(x , y\right)+F_{331}\! \left(x , y\right)<br />
  
    F_{325}\! \left(x , y\right) = F_{326}\! \left(x , y\right)+F_{330}\! \left(x , y\right)<br />
  
    F_{326}\! \left(x , y\right) = F_{19}\! \left(x , y\right) F_{327}\! \left(x , y\right)<br />
  
    F_{327}\! \left(x , y\right) = F_{304}\! \left(x , y\right)+F_{328}\! \left(x \right)<br />
  
    F_{328}\! \left(x \right) = F_{2}\! \left(x \right)+F_{329}\! \left(x \right)<br />
  
    F_{329}\! \left(x \right) = F_{137}\! \left(x \right) F_{2}\! \left(x \right)<br />
  
    F_{330}\! \left(x , y\right) = F_{137}\! \left(x \right) F_{279}\! \left(x , y\right)<br />
  
    F_{331}\! \left(x , y\right) = F_{311}\! \left(x , y\right)+F_{332}\! \left(x \right)<br />
  
    F_{332}\! \left(x \right) = F_{328}\! \left(x \right)+F_{333}\! \left(x \right)<br />
  
    F_{333}\! \left(x \right) = F_{137}\! \left(x \right) F_{281}\! \left(x \right)<br />
  
    F_{334}\! \left(x , y\right) = F_{112}\! \left(x , y\right) F_{17}\! \left(x , y\right)<br />
  
    F_{335}\! \left(x , y\right) = F_{12}\! \left(x , y\right) F_{336}\! \left(x , y\right)<br />
  
    F_{336}\! \left(x , y\right) = F_{337}\! \left(x , y\right)+F_{338}\! \left(x , y\right)<br />
  
    F_{337}\! \left(x , y\right) = F_{135}\! \left(x \right) F_{19}\! \left(x , y\right)<br />
  
    F_{338}\! \left(x , y\right) = F_{167}\! \left(x \right) F_{257}\! \left(x , y\right)<br />
  
    F_{339}\! \left(x \right) = F_{0}\! \left(x \right)+F_{130}\! \left(x \right)<br />
  
    F_{340}\! \left(x , y\right) = F_{341}\! \left(x , y\right)<br />
  
    F_{341}\! \left(x , y\right) = F_{342}\! \left(x , y\right) F_{37}\! \left(x \right)<br />
  
    F_{343}\! \left(x , y\right) = F_{162}\! \left(x \right)+F_{342}\! \left(x , y\right)<br />
  
    F_{344}\! \left(x , y\right) = F_{343}\! \left(x , y\right) F_{37}\! \left(x \right)<br />
  
    F_{344}\! \left(x , y\right) = F_{345}\! \left(x , y\right)<br />
  
    F_{345}\! \left(x , y\right) = F_{346}\! \left(x , y\right)+F_{347}\! \left(x , y\right)<br />
  
    F_{346}\! \left(x , y\right) = F_{2}\! \left(x \right) F_{40}\! \left(x , y\right)<br />
  
    F_{347}\! \left(x , y\right) = F_{348}\! \left(x , y\right)<br />
  
    F_{348}\! \left(x , y\right) = F_{349}\! \left(x , y\right) F_{37}\! \left(x \right)<br />
  
    F_{349}\! \left(x , y\right) = F_{350}\! \left(x , y\right)+F_{356}\! \left(x , y\right)<br />
  
    F_{350}\! \left(x , y\right) = F_{351}\! \left(x , y\right)<br />
  
    F_{351}\! \left(x , y\right) = F_{137}\! \left(x \right) F_{352}\! \left(x , y\right)<br />
  
    F_{352}\! \left(x , y\right) = F_{353}\! \left(x , y\right)<br />
  
    F_{353}\! \left(x , y\right) = F_{19}\! \left(x , y\right) F_{354}\! \left(x , y\right) F_{37}\! \left(x \right)<br />
  
    F_{355}\! \left(x , y\right) = F_{354}\! \left(x , y\right) F_{37}\! \left(x \right)<br />
  
    F_{355}\! \left(x , y\right) = F_{186}\! \left(x , y\right)<br />
  
    F_{356}\! \left(x , y\right) = F_{357}\! \left(x , y\right)<br />
  
    F_{357}\! \left(x , y\right) = F_{137}\! \left(x \right) F_{19}\! \left(x , y\right) F_{358}\! \left(x , y\right) F_{37}\! \left(x \right)<br />
  
    F_{359}\! \left(x , y\right) = F_{358}\! \left(x , y\right) F_{9}\! \left(x , y\right)<br />
  
    F_{359}\! \left(x , y\right) = F_{360}\! \left(x , y\right)<br />
  
    F_{360}\! \left(x , y\right) = F_{361}\! \left(x , y\right) F_{9}\! \left(x , y\right)<br />
  
    F_{361}\! \left(x , y\right) = F_{362}\! \left(x , y\right)+F_{380}\! \left(x , y\right)<br />
  
    F_{362}\! \left(x , y\right) = F_{363}\! \left(x \right)+F_{373}\! \left(x , y\right)<br />
  
    F_{363}\! \left(x \right) = -F_{366}\! \left(x \right)+F_{364}\! \left(x \right)<br />
  
    F_{364}\! \left(x \right) = \frac{F_{365}\! \left(x \right)}{F_{37}\! \left(x \right)}<br />
  
    F_{365}\! \left(x \right) = F_{129}\! \left(x \right)<br />
  
    F_{366}\! \left(x \right) = F_{367}\! \left(x \right)<br />
  
    F_{367}\! \left(x \right) = F_{368}\! \left(x \right)<br />
  
    F_{368}\! \left(x \right) = F_{369}\! \left(x \right) F_{37}\! \left(x \right)<br />
  
    F_{369}\! \left(x \right) = F_{370}\! \left(x \right)+F_{372}\! \left(x \right)<br />
  
    F_{370}\! \left(x \right) = F_{371}\! \left(x \right)+F_{4}\! \left(x \right)<br />
  
    F_{371}\! \left(x \right) = F_{2}\! \left(x \right) F_{265}\! \left(x \right)<br />
  
    F_{372}\! \left(x \right) = F_{130}\! \left(x \right) F_{265}\! \left(x \right)<br />
  
    F_{374}\! \left(x , y\right) = F_{373}\! \left(x , y\right)+F_{376}\! \left(x , y\right)<br />
  
    F_{375}\! \left(x , y\right) = F_{37}\! \left(x \right) F_{374}\! \left(x , y\right)<br />
  
    F_{375}\! \left(x , y\right) = F_{175}\! \left(x , y\right)<br />
  
    F_{376}\! \left(x , y\right) = F_{377}\! \left(x , y\right)<br />
  
    F_{378}\! \left(x , y\right) = F_{367}\! \left(x \right)+F_{377}\! \left(x , y\right)<br />
  
    F_{379}\! \left(x , y\right) = F_{37}\! \left(x \right) F_{378}\! \left(x , y\right)<br />
  
    F_{379}\! \left(x , y\right) = F_{345}\! \left(x , y\right)<br />
  
    F_{380}\! \left(x , y\right) = F_{381}\! \left(x , y\right)<br />
  
    F_{381}\! \left(x , y\right) = y F_{378}\! \left(x , y\right)<br />
  
    F_{382}\! \left(x , y\right) = F_{342}\! \left(x , y\right)<br />
  
    F_{383}\! \left(x , y\right) = F_{384}\! \left(x , y\right)<br />
  
    F_{384}\! \left(x , y\right) = y F_{343}\! \left(x , y\right)<br />
  
    F_{385}\! \left(x , y\right) = F_{203}\! \left(x , y\right)+F_{386}\! \left(x , y\right)<br />
  
    F_{386}\! \left(x , y\right) = F_{387}\! \left(x , y\right)+F_{7}\! \left(x , y\right)<br />
  
    F_{387}\! \left(x , y\right) = F_{25}\! \left(x \right)+F_{388}\! \left(x , y\right)+F_{397}\! \left(x , y\right)<br />
  
    F_{388}\! \left(x , y\right) = F_{389}\! \left(x , y\right) F_{9}\! \left(x , y\right)<br />
  
    F_{389}\! \left(x , y\right) = F_{386}\! \left(x , y\right)+F_{390}\! \left(x , y\right)<br />
  
    F_{390}\! \left(x , y\right) = F_{391}\! \left(x , y\right)+F_{394}\! \left(x , y\right)<br />
  
    F_{391}\! \left(x , y\right) = F_{392}\! \left(x , y\right)<br />
  
    F_{392}\! \left(x , y\right) = F_{393}\! \left(x , y\right) F_{9}\! \left(x , y\right)<br />
  
    F_{393}\! \left(x , y\right) = F_{391}\! \left(x , y\right)+F_{7}\! \left(x , y\right)<br />
  
    F_{394}\! \left(x , y\right) = F_{395}\! \left(x , y\right)<br />
  
    F_{395}\! \left(x , y\right) = F_{396}\! \left(x , y\right) F_{9}\! \left(x , y\right)<br />
  
    F_{396}\! \left(x , y\right) = F_{387}\! \left(x , y\right)+F_{394}\! \left(x , y\right)<br />
  
    F_{397}\! \left(x , y\right) = F_{398}\! \left(x , y\right) F_{9}\! \left(x , y\right)<br />
  
    F_{398}\! \left(x , y\right) = F_{399}\! \left(x , y\right)+F_{400}\! \left(x , y\right)<br />
  
    F_{399}\! \left(x , y\right) = F_{17}\! \left(x , y\right)+F_{391}\! \left(x , y\right)<br />
  
    F_{400}\! \left(x , y\right) = F_{20}\! \left(x , y\right)+F_{394}\! \left(x , y\right)<br />
  
    F_{109}\! \left(x , y\right) = F_{401}\! \left(x , y\right)+F_{402}\! \left(x , y\right)<br />
  
    F_{402}\! \left(x , y\right) = F_{10}\! \left(x , y\right)+F_{101}\! \left(x , y\right)<br />
  
    F_{403}\! \left(x , y\right) = y F_{404}\! \left(x , y\right)<br />
  
    F_{404}\! \left(x , y\right) = F_{405}\! \left(x , y\right)<br />
  
    F_{405}\! \left(x , y\right) = F_{37}\! \left(x \right) F_{406}\! \left(x , y\right)<br />
  
    F_{407}\! \left(x , y\right) = F_{406}\! \left(x , y\right)+F_{409}\! \left(x , y\right)<br />
  
    F_{408}\! \left(x , y\right) = F_{407}\! \left(x , y\right) F_{9}\! \left(x , y\right)<br />
  
    F_{408}\! \left(x , y\right) = F_{193}\! \left(x , y\right)<br />
  
    F_{409}\! \left(x , y\right) = F_{410}\! \left(x , y\right)<br />
  
    F_{410}\! \left(x , y\right) = y F_{411}\! \left(x , y\right)<br />
  
    F_{411}\! \left(x , y\right) = F_{412}\! \left(x , y\right)+F_{415}\! \left(x , y\right)<br />
  
    F_{412}\! \left(x , y\right) = F_{2}\! \left(x \right) F_{413}\! \left(x , y\right)<br />
  
    F_{413}\! \left(x , y\right) = F_{414}\! \left(x , y\right)<br />
  
    F_{414}\! \left(x , y\right) = F_{10}\! \left(x , y\right) F_{19}\! \left(x , y\right) F_{37}\! \left(x \right)<br />
  
    F_{415}\! \left(x , y\right) = F_{143}\! \left(x \right) F_{416}\! \left(x , y\right)<br />
  
    F_{416}\! \left(x , y\right) = F_{417}\! \left(x , y\right)<br />
  
    F_{417}\! \left(x , y\right) = F_{10}\! \left(x , y\right) F_{257}\! \left(x , y\right) F_{37}\! \left(x \right)<br />
  
    F_{418}\! \left(x , y\right) = F_{419}\! \left(x , y\right)<br />
  
    F_{419}\! \left(x , y\right) = y F_{420}\! \left(x , y\right)<br />
  
    F_{420}\! \left(x , y\right) = F_{421}\! \left(x , y\right)<br />
  
    F_{421}\! \left(x , y\right) = F_{37}\! \left(x \right) F_{422}\! \left(x , y\right)<br />
  
    F_{422}\! \left(x , y\right) = F_{106}\! \left(x , y\right)+F_{423}\! \left(x , y\right)<br />
  
    F_{423}\! \left(x , y\right) = F_{424}\! \left(x , y\right)+F_{460}\! \left(x , y\right)<br />
  
    F_{424}\! \left(x , y\right) = F_{425}\! \left(x , y\right)+F_{426}\! \left(x , y\right)<br />
  
    F_{425}\! \left(x , y\right) = F_{195}\! \left(x , y\right) F_{281}\! \left(x \right)<br />
  
    F_{427}\! \left(x , y\right) = F_{426}\! \left(x , y\right)+F_{458}\! \left(x , y\right)<br />
  
    F_{428}\! \left(x , y\right) = F_{427}\! \left(x , y\right)+F_{430}\! \left(x , y\right)<br />
  
    F_{429}\! \left(x , y\right) = F_{37}\! \left(x \right) F_{428}\! \left(x , y\right)<br />
  
    F_{429}\! \left(x , y\right) = F_{193}\! \left(x , y\right)<br />
  
    F_{430}\! \left(x , y\right) = F_{431}\! \left(x , y\right)<br />
  
    F_{431}\! \left(x , y\right) = F_{432}\! \left(x , y\right) F_{9}\! \left(x , y\right)<br />
  
    F_{432}\! \left(x , y\right) = F_{433}\! \left(x , y\right)+F_{454}\! \left(x , y\right)<br />
  
    F_{433}\! \left(x , y\right) = F_{434}\! \left(x , y\right)+F_{446}\! \left(x , y\right)<br />
  
    F_{434}\! \left(x , y\right) = F_{19}\! \left(x , y\right) F_{435}\! \left(x , y\right)<br />
  
    F_{435}\! \left(x , y\right) = F_{436}\! \left(x , y\right)+F_{439}\! \left(x , y\right)<br />
  
    F_{436}\! \left(x , y\right) = F_{430}\! \left(x , y\right)+F_{437}\! \left(x , y\right)<br />
  
    F_{437}\! \left(x , y\right) = F_{427}\! \left(x , y\right)+F_{438}\! \left(x , y\right)<br />
  
    F_{438}\! \left(x , y\right) = F_{135}\! \left(x \right) F_{195}\! \left(x , y\right)<br />
  
    F_{439}\! \left(x , y\right) = F_{440}\! \left(x , y\right)<br />
  
    F_{440}\! \left(x , y\right) = F_{441}\! \left(x , y\right)+F_{445}\! \left(x , y\right)<br />
  
    F_{441}\! \left(x , y\right) = F_{19}\! \left(x , y\right) F_{442}\! \left(x , y\right)<br />
  
    F_{442}\! \left(x , y\right) = F_{443}\! \left(x , y\right)+F_{444}\! \left(x , y\right)<br />
  
    F_{443}\! \left(x , y\right) = F_{10}\! \left(x , y\right) F_{2}\! \left(x \right)<br />
  
    F_{444}\! \left(x , y\right) = F_{107}\! \left(x , y\right) F_{137}\! \left(x \right)<br />
  
    F_{445}\! \left(x , y\right) = F_{137}\! \left(x \right) F_{423}\! \left(x , y\right)<br />
  
    F_{446}\! \left(x , y\right) = F_{447}\! \left(x , y\right)<br />
  
    F_{447}\! \left(x , y\right) = y F_{448}\! \left(x , y\right)<br />
  
    F_{448}\! \left(x , y\right) = F_{449}\! \left(x , y\right)<br />
  
    F_{450}\! \left(x , y\right) = F_{449}\! \left(x , y\right)+F_{452}\! \left(x , y\right)<br />
  
    F_{451}\! \left(x , y\right) = F_{37}\! \left(x \right) F_{450}\! \left(x , y\right)<br />
  
    F_{451}\! \left(x , y\right) = F_{404}\! \left(x , y\right)<br />
  
    F_{452}\! \left(x , y\right) = F_{453}\! \left(x , y\right)<br />
  
    F_{453}\! \left(x , y\right) = F_{19}\! \left(x , y\right) F_{37}\! \left(x \right) F_{435}\! \left(x , y\right)<br />
  
    F_{454}\! \left(x , y\right) = F_{455}\! \left(x , y\right)<br />
  
    F_{455}\! \left(x , y\right) = y F_{456}\! \left(x , y\right)<br />
  
    F_{457}\! \left(x , y\right) = F_{37}\! \left(x \right) F_{456}\! \left(x , y\right)<br />
  
    F_{457}\! \left(x , y\right) = F_{416}\! \left(x , y\right)<br />
  
    F_{458}\! \left(x , y\right) = F_{193}\! \left(x , y\right)+F_{459}\! \left(x , y\right)<br />
  
    F_{459}\! \left(x , y\right) = F_{28}\! \left(x , y\right)<br />
  
    F_{461}\! \left(x , y\right) = F_{460}\! \left(x , y\right)+F_{467}\! \left(x , y\right)<br />
  
    F_{461}\! \left(x , y\right) = F_{462}\! \left(x , y\right)<br />
  
    F_{462}\! \left(x , y\right) = F_{463}\! \left(x , y\right) F_{9}\! \left(x , y\right)<br />
  
    F_{463}\! \left(x , y\right) = F_{464}\! \left(x , y\right)+F_{466}\! \left(x , y\right)<br />
  
    F_{464}\! \left(x , y\right) = F_{19}\! \left(x , y\right) F_{465}\! \left(x , y\right)<br />
  
    F_{465}\! \left(x , y\right) = F_{111}\! \left(x , y\right)+F_{442}\! \left(x , y\right)<br />
  
    F_{466}\! \left(x , y\right) = F_{143}\! \left(x \right) F_{423}\! \left(x , y\right)<br />
  
    F_{467}\! \left(x , y\right) = F_{111}\! \left(x , y\right) F_{17}\! \left(x , y\right)<br />
  
  System of equations in sympy syntax:<br />
  
    Eq(F_0(x), F_1(x) + F_2(x))<br />
  
    Eq(F_1(x), 1)<br />
  
    Eq(F_2(x), F_3(x))<br />
  
    Eq(F_3(x), F_37(x)*F_4(x))<br />
  
    Eq(F_4(x), F_0(x) + F_5(x))<br />
  
    Eq(F_5(x), F_6(x, 1))<br />
  
    Eq(F_6(x, k_0), F_7(x, k_0) + F_86(x, k_0))<br />
  
    Eq(F_7(x, k_0), F_8(x, k_0))<br />
  
    Eq(F_8(x, k_0), F_10(x, k_0)*F_9(x, k_0))<br />
  
    Eq(F_9(x, k_0), k_0*x)<br />
  
    Eq(F_10(x, k_0), F_11(x, k_0))<br />
  
    Eq(F_11(x, k_0), F_12(x, k_0) + F_23(x, k_0))<br />
  
    Eq(F_12(x, k_0), F_1(x) + F_13(x, k_0))<br />
  
    Eq(F_13(x, k_0), F_14(x, k_0))<br />
  
    Eq(F_14(x, k_0), F_15(x, k_0)*F_9(x, k_0))<br />
  
    Eq(F_15(x, k_0), F_12(x, k_0) + F_16(x, k_0))<br />
  
    Eq(F_16(x, k_0), F_17(x, k_0) + F_20(x, k_0))<br />
  
    Eq(F_17(x, k_0), F_18(x, k_0))<br />
  
    Eq(F_18(x, k_0), F_19(x, k_0)*F_9(x, k_0))<br />
  
    Eq(F_19(x, k_0), F_1(x) + F_17(x, k_0))<br />
  
    Eq(F_20(x, k_0), F_21(x, k_0))<br />
  
    Eq(F_21(x, k_0), F_22(x, k_0)*F_9(x, k_0))<br />
  
    Eq(F_22(x, k_0), F_13(x, k_0) + F_20(x, k_0))<br />
  
    Eq(F_23(x, k_0), F_24(x, k_0) + F_7(x, k_0))<br />
  
    Eq(F_24(x, k_0), F_25(x) + F_26(x, k_0) + F_42(x, k_0))<br />
  
    Eq(F_25(x), 0)<br />
  
    Eq(F_26(x, k_0), F_27(x, k_0)*F_9(x, k_0))<br />
  
    Eq(F_27(x, k_0), F_28(x, k_0) + F_29(x, k_0))<br />
  
    Eq(F_28(x, k_0), F_13(x, k_0) + F_24(x, k_0))<br />
  
    Eq(F_29(x, k_0), F_30(x, k_0) + F_45(x, k_0))<br />
  
    Eq(F_30(x, k_0), F_25(x) + F_31(x, k_0) + F_42(x, k_0))<br />
  
    Eq(F_31(x, k_0), F_32(x, k_0)*F_9(x, k_0))<br />
  
    Eq(F_32(x, k_0), F_33(x, k_0) + F_41(x, k_0))<br />
  
    Eq(F_33(x, k_0), F_13(x, k_0) + F_34(x, k_0))<br />
  
    Eq(F_34(x, k_0), k_0*F_35(x, k_0))<br />
  
    Eq(F_35(x, k_0), F_25(x) + F_36(x, k_0) + F_38(x, k_0))<br />
  
    Eq(F_36(x, k_0), F_13(x, k_0)*F_37(x))<br />
  
    Eq(F_37(x), x)<br />
  
    Eq(F_38(x, k_0), F_39(x, k_0)*F_9(x, k_0))<br />
  
    Eq(F_39(x, k_0), F_40(x, k_0))<br />
  
    Eq(F_40(x, k_0), F_35(x, k_0) + F_37(x))<br />
  
    Eq(F_41(x, k_0), F_34(x, k_0))<br />
  
    Eq(F_42(x, k_0), F_43(x, k_0)*F_9(x, k_0))<br />
  
    Eq(F_43(x, k_0), F_44(x, k_0))<br />
  
    Eq(F_44(x, k_0), F_34(x, k_0) + F_9(x, k_0))<br />
  
    Eq(F_45(x, k_0), F_25(x) + F_46(x, k_0) + F_69(x, k_0) + F_77(x, k_0))<br />
  
    Eq(F_46(x, k_0), F_47(x, k_0)*F_9(x, k_0))<br />
  
    Eq(F_47(x, k_0), F_48(x, k_0) + F_68(x, k_0))<br />
  
    Eq(F_48(x, k_0), F_24(x, k_0) + F_49(x, k_0))<br />
  
    Eq(F_49(x, k_0), k_0*F_50(x, k_0))<br />
  
    Eq(F_50(x, k_0), F_25(x) + F_51(x, k_0) + F_52(x, k_0) + F_60(x, k_0))<br />
  
    Eq(F_51(x, k_0), F_24(x, k_0)*F_37(x))<br />
  
    Eq(F_52(x, k_0), F_53(x, k_0)*F_9(x, k_0))<br />
  
    Eq(F_53(x, k_0), F_54(x, k_0) + F_55(x, k_0))<br />
  
    Eq(F_54(x, k_0), F_35(x, k_0) + F_50(x, k_0))<br />
  
    Eq(F_55(x, k_0), F_56(x, k_0) + F_61(x, k_0))<br />
  
    Eq(F_56(x, k_0), F_25(x) + F_57(x, k_0) + F_58(x, k_0) + F_60(x, k_0))<br />
  
    Eq(F_57(x, k_0), F_34(x, k_0)*F_37(x))<br />
  
    Eq(F_58(x, k_0), F_59(x, k_0)*F_9(x, k_0))<br />
  
    Eq(F_59(x, k_0), F_35(x, k_0))<br />
  
    Eq(F_60(x, k_0), 0)<br />
  
    Eq(F_61(x, k_0), F_25(x) + F_62(x, k_0) + F_63(x, k_0) + F_65(x, k_0) + F_67(x, k_0))<br />
  
    Eq(F_62(x, k_0), F_37(x)*F_49(x, k_0))<br />
  
    Eq(F_63(x, k_0), F_64(x, k_0)*F_9(x, k_0))<br />
  
    Eq(F_64(x, k_0), F_50(x, k_0))<br />
  
    Eq(F_65(x, k_0), F_66(x, k_0)*F_9(x, k_0))<br />
  
    Eq(F_66(x, k_0), F_55(x, k_0))<br />
  
    Eq(F_67(x, k_0), 0)<br />
  
    Eq(F_68(x, k_0), F_49(x, k_0))<br />
  
    Eq(F_69(x, k_0), F_70(x, k_0)*F_9(x, k_0))<br />
  
    Eq(F_70(x, k_0), F_29(x, k_0) + F_71(x, k_0))<br />
  
    Eq(F_71(x, k_0), F_72(x, k_0) + F_78(x, k_0))<br />
  
    Eq(F_72(x, k_0), F_25(x) + F_73(x, k_0) + F_75(x, k_0) + F_77(x, k_0))<br />
  
    Eq(F_73(x, k_0), F_74(x, k_0)*F_9(x, k_0))<br />
  
    Eq(F_74(x, k_0), F_34(x, k_0))<br />
  
    Eq(F_75(x, k_0), F_76(x, k_0)*F_9(x, k_0))<br />
  
    Eq(F_76(x, k_0), F_41(x, k_0))<br />
  
    Eq(F_77(x, k_0), 0)<br />
  
    Eq(F_78(x, k_0), F_25(x) + F_79(x, k_0) + F_81(x, k_0) + F_83(x, k_0) + F_85(x, k_0))<br />
  
    Eq(F_79(x, k_0), F_80(x, k_0)*F_9(x, k_0))<br />
  
    Eq(F_80(x, k_0), F_49(x, k_0))<br />
  
    Eq(F_81(x, k_0), F_82(x, k_0)*F_9(x, k_0))<br />
  
    Eq(F_82(x, k_0), F_68(x, k_0))<br />
  
    Eq(F_83(x, k_0), F_84(x, k_0)*F_9(x, k_0))<br />
  
    Eq(F_84(x, k_0), F_71(x, k_0))<br />
  
    Eq(F_85(x, k_0), 0)<br />
  
    Eq(F_86(x, k_0), F_87(x, k_0))<br />
  
    Eq(F_87(x, k_0), F_37(x)*F_88(x, k_0))<br />
  
    Eq(F_88(x, k_0), F_89(x, k_0) + F_90(x, k_0))<br />
  
    Eq(F_89(x, k_0), -F_6(x, 1) + (k_0*F_6(x, k_0) - F_6(x, 1))/(k_0 - 1))<br />
  
    Eq(F_90(x, k_0), F_91(x, k_0))<br />
  
    Eq(F_91(x, k_0), F_9(x, k_0)*F_92(x, k_0))<br />
  
    Eq(F_93(x, k_0), F_37(x)*F_92(x, k_0))<br />
  
    Eq(F_93(x, k_0), F_94(x, k_0))<br />
  
    Eq(F_94(x, k_0), F_95(x, k_0) + F_96(x, k_0))<br />
  
    Eq(F_95(x, k_0), F_2(x) + F_86(x, k_0))<br />
  
    Eq(F_96(x, k_0), F_97(x, k_0))<br />
  
    Eq(F_97(x, k_0), F_9(x, k_0)*F_98(x, k_0))<br />
  
    Eq(F_98(x, k_0), F_418(x, k_0) + F_99(x, k_0))<br />
  
    Eq(F_99(x, k_0), F_100(x, k_0) + F_403(x, k_0))<br />
  
    Eq(F_100(x, k_0), F_101(x, k_0) + F_401(x, k_0))<br />
  
    Eq(F_101(x, k_0), F_102(x, k_0) + F_103(x, k_0))<br />
  
    Eq(F_102(x, k_0), F_19(x, k_0)*F_2(x))<br />
  
    Eq(F_103(x, k_0), F_104(x, k_0))<br />
  
    Eq(F_104(x, k_0), F_105(x, k_0)*F_19(x, k_0)*F_9(x, k_0))<br />
  
    Eq(F_105(x, k_0), F_106(x, k_0) + F_108(x, k_0))<br />
  
    Eq(F_106(x, k_0), F_107(x, k_0)*F_19(x, k_0))<br />
  
    Eq(F_100(x, k_0), F_107(x, k_0) + F_108(x, k_0))<br />
  
    Eq(F_109(x, k_0), F_108(x, k_0) + F_111(x, k_0))<br />
  
    Eq(F_110(x, k_0), F_109(x, k_0)*F_9(x, k_0))<br />
  
    Eq(F_110(x, k_0), F_6(x, k_0))<br />
  
    Eq(F_111(x, k_0), F_112(x, k_0) + F_385(x, k_0))<br />
  
    Eq(F_112(x, k_0), F_0(x) + F_113(x, k_0))<br />
  
    Eq(F_113(x, k_0), F_114(x, k_0))<br />
  
    Eq(F_114(x, k_0), F_115(x, k_0)*F_9(x, k_0))<br />
  
    Eq(F_115(x, k_0), F_116(x, k_0) + F_122(x, k_0))<br />
  
    Eq(F_116(x, k_0), F_112(x, k_0) + F_117(x, k_0))<br />
  
    Eq(F_117(x, k_0), k_0*F_118(x, k_0))<br />
  
    Eq(F_118(x, k_0), F_119(x, k_0))<br />
  
    Eq(F_119(x, k_0), F_120(x, k_0)*F_37(x))<br />
  
    Eq(F_121(x, k_0), F_120(x, k_0)*F_9(x, k_0))<br />
  
    Eq(F_121(x, k_0), F_113(x, k_0))<br />
  
    Eq(F_122(x, k_0), F_123(x, k_0))<br />
  
    Eq(F_123(x, k_0), F_124(x, k_0)*F_37(x))<br />
  
    Eq(F_124(x, k_0), F_125(x, k_0) + F_383(x, k_0))<br />
  
    Eq(F_125(x, k_0), F_126(x) + F_172(x, k_0))<br />
  
    Eq(F_126(x), F_127(x) - F_171(x))<br />
  
    Eq(F_127(x), F_128(x)/F_37(x))<br />
  
    Eq(F_128(x), F_129(x))<br />
  
    Eq(F_129(x), F_130(x) + F_160(x))<br />
  
    Eq(F_130(x), F_131(x) + F_2(x))<br />
  
    Eq(F_131(x), F_132(x))<br />
  
    Eq(F_132(x), F_133(x)*F_37(x))<br />
  
    Eq(F_133(x), F_134(x) + F_138(x))<br />
  
    Eq(F_134(x), F_135(x)*F_137(x))<br />
  
    Eq(F_135(x), F_136(x)/F_37(x))<br />
  
    Eq(F_136(x), F_2(x))<br />
  
    Eq(F_137(x), (x - 3)*(F_137(x) + 1) + (F_137(x) + 1)**2 + F_137(x) + 2)<br />
  
    Eq(F_138(x), F_139(x) + F_148(x))<br />
  
    Eq(F_139(x), F_140(x) + F_144(x))<br />
  
    Eq(F_140(x), F_141(x) - F_143(x))<br />
  
    Eq(F_141(x), F_142(x)/F_37(x))<br />
  
    Eq(F_142(x), F_2(x))<br />
  
    Eq(F_143(x), (x - 2)*F_143(x) + F_143(x)**2 + 2)<br />
  
    Eq(F_144(x), F_145(x)*F_2(x))<br />
  
    Eq(F_145(x), F_146(x, 1))<br />
  
    Eq(F_146(x, k_0), -F_147(x, 1) + (-k_0*F_147(x, k_0) + F_147(x, 1))/(1 - k_0))<br />
  
    Eq(F_147(x, k_0), (k_0*x - 3)*(F_147(x, k_0) + 1) + (F_147(x, k_0) + 1)**2 + F_147(x, k_0) + 2)<br />
  
    Eq(F_148(x), F_149(x)*F_150(x))<br />
  
    Eq(F_149(x), -F_0(x) + F_135(x))<br />
  
    Eq(F_150(x), -F_143(x) + F_151(x))<br />
  
    Eq(F_151(x), F_152(x, 1))<br />
  
    Eq(F_152(x, k_0), F_153(x, k_0) + F_154(x, k_0))<br />
  
    Eq(F_153(x, k_0), (k_0*x - 2)*F_153(x, k_0) + F_153(x, k_0)**2 + 2)<br />
  
    Eq(F_154(x, k_0), F_155(x, k_0))<br />
  
    Eq(F_155(x, k_0), F_153(x, k_0)*F_156(x, k_0)*F_37(x))<br />
  
    Eq(F_156(x, k_0), F_152(x, k_0) + F_157(x, k_0))<br />
  
    Eq(F_157(x, k_0), F_158(x, k_0))<br />
  
    Eq(F_158(x, k_0), F_152(x, k_0)*F_159(x)*F_37(x))<br />
  
    Eq(F_159(x), F_156(x, 1))<br />
  
    Eq(F_160(x), F_161(x))<br />
  
    Eq(F_161(x), F_162(x)*F_37(x))<br />
  
    Eq(F_162(x), F_163(x))<br />
  
    Eq(F_163(x), F_164(x)*F_37(x))<br />
  
    Eq(F_164(x), F_165(x) + F_170(x))<br />
  
    Eq(F_165(x), F_135(x) + F_166(x))<br />
  
    Eq(F_166(x), F_167(x)*F_2(x))<br />
  
    Eq(F_167(x), F_143(x) + F_168(x))<br />
  
    Eq(F_168(x), F_169(x))<br />
  
    Eq(F_169(x), F_151(x)*F_167(x)*F_37(x))<br />
  
    Eq(F_170(x), F_130(x)*F_167(x))<br />
  
    Eq(F_171(x), F_162(x))<br />
  
    Eq(F_173(x, k_0), F_172(x, k_0) + F_382(x, k_0))<br />
  
    Eq(F_174(x, k_0), F_173(x, k_0)*F_37(x))<br />
  
    Eq(F_174(x, k_0), F_175(x, k_0))<br />
  
    Eq(F_175(x, k_0), F_176(x, k_0) + F_340(x, k_0))<br />
  
    Eq(F_177(x, k_0), F_113(x, k_0) + F_176(x, k_0))<br />
  
    Eq(F_178(x, k_0), F_177(x, k_0) + F_339(x))<br />
  
    Eq(F_178(x, k_0), F_179(x, k_0) + F_180(x, k_0))<br />
  
    Eq(F_179(x, k_0), F_0(x)*F_12(x, k_0))<br />
  
    Eq(F_180(x, k_0), F_181(x, k_0))<br />
  
    Eq(F_181(x, k_0), F_182(x, k_0)*F_37(x))<br />
  
    Eq(F_182(x, k_0), F_183(x, k_0) + F_251(x, k_0))<br />
  
    Eq(F_183(x, k_0), F_143(x)*F_184(x, k_0))<br />
  
    Eq(F_185(x, k_0), F_184(x, k_0)*F_37(x))<br />
  
    Eq(F_185(x, k_0), F_186(x, k_0))<br />
  
    Eq(F_186(x, k_0), F_187(x, k_0) + F_2(x))<br />
  
    Eq(F_187(x, k_0), F_188(x, k_0))<br />
  
    Eq(F_188(x, k_0), F_189(x, k_0)*F_9(x, k_0))<br />
  
    Eq(F_190(x, k_0), F_189(x, k_0)*F_195(x, k_0))<br />
  
    Eq(F_191(x, k_0), F_190(x, k_0) + F_196(x, k_0))<br />
  
    Eq(F_192(x, k_0), F_191(x, k_0)*F_9(x, k_0))<br />
  
    Eq(F_192(x, k_0), F_193(x, k_0))<br />
  
    Eq(F_107(x, k_0), F_193(x, k_0) + F_194(x, k_0))<br />
  
    Eq(F_194(x, k_0), F_195(x, k_0)*F_2(x))<br />
  
    Eq(F_195(x, k_0), F_1(x) + F_7(x, k_0))<br />
  
    Eq(F_196(x, k_0), F_197(x, k_0))<br />
  
    Eq(F_197(x, k_0), k_0*F_198(x, k_0))<br />
  
    Eq(F_198(x, k_0), F_199(x, k_0) + F_209(x, k_0))<br />
  
    Eq(F_199(x, k_0), F_200(x, k_0))<br />
  
    Eq(F_200(x, k_0), F_10(x, k_0)*F_201(x, k_0)*F_37(x))<br />
  
    Eq(F_202(x, k_0), F_10(x, k_0)*F_201(x, k_0)*F_9(x, k_0))<br />
  
    Eq(F_202(x, k_0), F_203(x, k_0))<br />
  
    Eq(F_203(x, k_0), F_204(x, k_0) + F_205(x, k_0))<br />
  
    Eq(F_204(x, k_0), F_2(x)*F_7(x, k_0))<br />
  
    Eq(F_205(x, k_0), F_206(x, k_0))<br />
  
    Eq(F_206(x, k_0), F_207(x, k_0)*F_9(x, k_0))<br />
  
    Eq(F_207(x, k_0), F_196(x, k_0) + F_208(x, k_0))<br />
  
    Eq(F_208(x, k_0), F_189(x, k_0)*F_7(x, k_0))<br />
  
    Eq(F_209(x, k_0), F_2(x)*F_210(x, k_0))<br />
  
    Eq(F_210(x, k_0), F_211(x, k_0))<br />
  
    Eq(F_211(x, k_0), F_10(x, k_0)*F_212(x, k_0)*F_37(x))<br />
  
    Eq(F_212(x, k_0), F_213(x, k_0) + F_226(x, k_0))<br />
  
    Eq(F_213(x, k_0), F_19(x, k_0) + F_214(x, k_0))<br />
  
    Eq(F_214(x, k_0), F_13(x, k_0) + F_215(x, k_0))<br />
  
    Eq(F_215(x, k_0), F_216(x, k_0))<br />
  
    Eq(F_216(x, k_0), F_217(x, k_0)*F_9(x, k_0))<br />
  
    Eq(F_217(x, k_0), F_218(x, k_0) + F_219(x, k_0))<br />
  
    Eq(F_218(x, k_0), F_17(x, k_0) + F_215(x, k_0))<br />
  
    Eq(F_219(x, k_0), F_220(x, k_0) + F_222(x, k_0))<br />
  
    Eq(F_220(x, k_0), F_221(x, k_0))<br />
  
    Eq(F_221(x, k_0), F_17(x, k_0)*F_9(x, k_0))<br />
  
    Eq(F_222(x, k_0), F_223(x, k_0) + F_224(x, k_0) + 2*F_25(x))<br />
  
    Eq(F_223(x, k_0), F_215(x, k_0)*F_9(x, k_0))<br />
  
    Eq(F_224(x, k_0), F_225(x, k_0)*F_9(x, k_0))<br />
  
    Eq(F_225(x, k_0), F_219(x, k_0))<br />
  
    Eq(F_226(x, k_0), F_227(x, k_0) + F_247(x, k_0))<br />
  
    Eq(F_227(x, k_0), F_137(x) + F_228(x, k_0))<br />
  
    Eq(F_229(x, k_0), F_13(x, k_0) + F_228(x, k_0))<br />
  
    Eq(F_229(x, k_0), F_230(x, k_0))<br />
  
    Eq(F_230(x, k_0), F_231(x, k_0)*F_9(x, k_0))<br />
  
    Eq(F_231(x, k_0), F_232(x, k_0) + F_244(x, k_0))<br />
  
    Eq(F_232(x, k_0), F_233(x, k_0) + F_234(x, k_0))<br />
  
    Eq(F_233(x, k_0), F_143(x) + F_229(x, k_0))<br />
  
    Eq(F_234(x, k_0), F_235(x, k_0))<br />
  
    Eq(F_235(x, k_0), F_167(x)*F_236(x, k_0)*F_37(x))<br />
  
    Eq(F_236(x, k_0), F_151(x) + F_237(x, k_0))<br />
  
    Eq(F_238(x, k_0), F_237(x, k_0) + F_240(x, k_0))<br />
  
    Eq(F_239(x, k_0), F_238(x, k_0)*F_37(x))<br />
  
    Eq(F_239(x, k_0), F_228(x, k_0))<br />
  
    Eq(F_240(x, k_0), F_241(x, k_0))<br />
  
    Eq(F_241(x, k_0), F_19(x, k_0)*F_242(x, k_0)*F_9(x, k_0))<br />
  
    Eq(F_243(x, k_0), F_19(x, k_0)*F_242(x, k_0)*F_37(x))<br />
  
    Eq(F_243(x, k_0), F_226(x, k_0))<br />
  
    Eq(F_244(x, k_0), k_0*F_245(x, k_0))<br />
  
    Eq(F_245(x, k_0), F_246(x, k_0))<br />
  
    Eq(F_246(x, k_0), F_167(x)*F_212(x, k_0)*F_37(x))<br />
  
    Eq(F_247(x, k_0), F_248(x, k_0))<br />
  
    Eq(F_248(x, k_0), F_249(x, k_0)*F_9(x, k_0))<br />
  
    Eq(F_249(x, k_0), F_226(x, k_0) + F_250(x, k_0))<br />
  
    Eq(F_250(x, k_0), F_137(x)*F_212(x, k_0))<br />
  
    Eq(F_251(x, k_0), F_252(x, k_0))<br />
  
    Eq(F_252(x, k_0), F_253(x, k_0) + F_268(x, k_0))<br />
  
    Eq(F_253(x, k_0), F_12(x, k_0)*F_254(x, k_0))<br />
  
    Eq(F_254(x, k_0), F_255(x, k_0) + F_256(x, k_0))<br />
  
    Eq(F_255(x, k_0), F_140(x)*F_19(x, k_0))<br />
  
    Eq(F_256(x, k_0), F_145(x)*F_257(x, k_0))<br />
  
    Eq(F_257(x, k_0), F_258(x, k_0))<br />
  
    Eq(F_258(x, k_0), F_19(x, k_0)*F_259(x, k_0)*F_37(x))<br />
  
    Eq(F_259(x, k_0), F_260(x, k_0) + F_4(x))<br />
  
    Eq(F_260(x, k_0), F_261(x, k_0))<br />
  
    Eq(F_261(x, k_0), F_262(x, k_0)*F_9(x, k_0))<br />
  
    Eq(F_262(x, k_0), F_259(x, k_0) + F_263(x, k_0))<br />
  
    Eq(F_263(x, k_0), F_2(x)*F_264(x, k_0))<br />
  
    Eq(F_264(x, k_0), F_265(x) + F_266(x, k_0))<br />
  
    Eq(F_265(x), F_233(x, 1))<br />
  
    Eq(F_266(x, k_0), F_267(x, k_0))<br />
  
    Eq(F_267(x, k_0), F_143(x)*F_264(x, k_0)*F_9(x, k_0))<br />
  
    Eq(F_268(x, k_0), F_150(x)*F_269(x, k_0))<br />
  
    Eq(F_270(x, k_0), F_167(x)*F_269(x, k_0))<br />
  
    Eq(F_271(x, k_0), F_270(x, k_0) + F_335(x, k_0))<br />
  
    Eq(F_272(x, k_0), F_271(x, k_0)*F_37(x))<br />
  
    Eq(F_272(x, k_0), F_273(x, k_0))<br />
  
    Eq(F_273(x, k_0), F_274(x, k_0) + F_275(x, k_0))<br />
  
    Eq(F_274(x, k_0), F_135(x)*F_40(x, k_0))<br />
  
    Eq(F_275(x, k_0), F_276(x, k_0))<br />
  
    Eq(F_276(x, k_0), F_167(x)*F_277(x, k_0)*F_37(x))<br />
  
    Eq(F_277(x, k_0), F_278(x, k_0) + F_279(x, k_0))<br />
  
    Eq(F_278(x, k_0), F_186(x, k_0)*F_19(x, k_0))<br />
  
    Eq(F_279(x, k_0), F_280(x, k_0) + F_287(x, k_0))<br />
  
    Eq(F_280(x, k_0), F_281(x) + F_282(x, k_0))<br />
  
    Eq(F_281(x), -F_0(x) + F_135(x))<br />
  
    Eq(F_283(x, k_0), F_113(x, k_0) + F_282(x, k_0))<br />
  
    Eq(F_283(x, k_0), F_284(x, k_0))<br />
  
    Eq(F_284(x, k_0), F_285(x, k_0)*F_9(x, k_0))<br />
  
    Eq(F_124(x, k_0), F_285(x, k_0) + F_286(x, k_0))<br />
  
    Eq(F_286(x, k_0), F_273(x, k_0))<br />
  
    Eq(F_288(x, k_0), F_287(x, k_0) + F_334(x, k_0))<br />
  
    Eq(F_288(x, k_0), F_289(x, k_0))<br />
  
    Eq(F_289(x, k_0), F_290(x, k_0)*F_9(x, k_0))<br />
  
    Eq(F_291(x, k_0), F_290(x, k_0)*F_37(x))<br />
  
    Eq(F_291(x, k_0), F_292(x, k_0))<br />
  
    Eq(F_292(x, k_0), F_293(x) + F_299(x, k_0))<br />
  
    Eq(F_293(x), F_294(x))<br />
  
    Eq(F_294(x), F_295(x)*F_37(x))<br />
  
    Eq(F_295(x), F_296(x) + F_298(x))<br />
  
    Eq(F_296(x), F_0(x) + F_297(x))<br />
  
    Eq(F_297(x), F_143(x)*F_2(x))<br />
  
    Eq(F_298(x), F_143(x)*F_281(x))<br />
  
    Eq(F_299(x, k_0), F_300(x, k_0))<br />
  
    Eq(F_300(x, k_0), F_301(x, k_0)*F_37(x))<br />
  
    Eq(F_301(x, k_0), F_302(x, k_0) + F_308(x, k_0))<br />
  
    Eq(F_302(x, k_0), F_283(x, k_0) + F_303(x, k_0))<br />
  
    Eq(F_303(x, k_0), F_304(x, k_0) + F_307(x, k_0))<br />
  
    Eq(F_304(x, k_0), F_305(x, k_0) + F_306(x, k_0))<br />
  
    Eq(F_305(x, k_0), F_13(x, k_0)*F_2(x))<br />
  
    Eq(F_306(x, k_0), F_137(x)*F_187(x, k_0))<br />
  
    Eq(F_307(x, k_0), F_137(x)*F_282(x, k_0))<br />
  
    Eq(F_308(x, k_0), F_288(x, k_0) + F_309(x, k_0))<br />
  
    Eq(F_310(x, k_0), F_303(x, k_0) + F_309(x, k_0))<br />
  
    Eq(F_310(x, k_0), F_311(x, k_0) + F_324(x, k_0))<br />
  
    Eq(F_312(x, k_0), F_311(x, k_0) + F_321(x, k_0))<br />
  
    Eq(F_312(x, k_0), F_313(x, k_0))<br />
  
    Eq(F_313(x, k_0), F_314(x, k_0)*F_9(x, k_0))<br />
  
    Eq(F_314(x, k_0), F_315(x, k_0) + F_316(x, k_0))<br />
  
    Eq(F_315(x, k_0), F_19(x, k_0)*F_295(x))<br />
  
    Eq(F_316(x, k_0), F_143(x)*F_317(x, k_0))<br />
  
    Eq(F_317(x, k_0), F_318(x, k_0))<br />
  
    Eq(F_318(x, k_0), F_19(x, k_0)*F_319(x, k_0)*F_37(x))<br />
  
    Eq(F_319(x, k_0), F_262(x, k_0) + F_320(x, k_0))<br />
  
    Eq(F_320(x, k_0), F_264(x, k_0)*F_281(x))<br />
  
    Eq(F_321(x, k_0), F_322(x, k_0))<br />
  
    Eq(F_322(x, k_0), F_323(x, k_0)*F_9(x, k_0))<br />
  
    Eq(F_323(x, k_0), F_295(x) + F_312(x, k_0))<br />
  
    Eq(F_325(x, k_0), F_324(x, k_0) + F_331(x, k_0))<br />
  
    Eq(F_325(x, k_0), F_326(x, k_0) + F_330(x, k_0))<br />
  
    Eq(F_326(x, k_0), F_19(x, k_0)*F_327(x, k_0))<br />
  
    Eq(F_327(x, k_0), F_304(x, k_0) + F_328(x))<br />
  
    Eq(F_328(x), F_2(x) + F_329(x))<br />
  
    Eq(F_329(x), F_137(x)*F_2(x))<br />
  
    Eq(F_330(x, k_0), F_137(x)*F_279(x, k_0))<br />
  
    Eq(F_331(x, k_0), F_311(x, k_0) + F_332(x))<br />
  
    Eq(F_332(x), F_328(x) + F_333(x))<br />
  
    Eq(F_333(x), F_137(x)*F_281(x))<br />
  
    Eq(F_334(x, k_0), F_112(x, k_0)*F_17(x, k_0))<br />
  
    Eq(F_335(x, k_0), F_12(x, k_0)*F_336(x, k_0))<br />
  
    Eq(F_336(x, k_0), F_337(x, k_0) + F_338(x, k_0))<br />
  
    Eq(F_337(x, k_0), F_135(x)*F_19(x, k_0))<br />
  
    Eq(F_338(x, k_0), F_167(x)*F_257(x, k_0))<br />
  
    Eq(F_339(x), F_0(x) + F_130(x))<br />
  
    Eq(F_340(x, k_0), F_341(x, k_0))<br />
  
    Eq(F_341(x, k_0), F_342(x, k_0)*F_37(x))<br />
  
    Eq(F_343(x, k_0), F_162(x) + F_342(x, k_0))<br />
  
    Eq(F_344(x, k_0), F_343(x, k_0)*F_37(x))<br />
  
    Eq(F_344(x, k_0), F_345(x, k_0))<br />
  
    Eq(F_345(x, k_0), F_346(x, k_0) + F_347(x, k_0))<br />
  
    Eq(F_346(x, k_0), F_2(x)*F_40(x, k_0))<br />
  
    Eq(F_347(x, k_0), F_348(x, k_0))<br />
  
    Eq(F_348(x, k_0), F_349(x, k_0)*F_37(x))<br />
  
    Eq(F_349(x, k_0), F_350(x, k_0) + F_356(x, k_0))<br />
  
    Eq(F_350(x, k_0), F_351(x, k_0))<br />
  
    Eq(F_351(x, k_0), F_137(x)*F_352(x, k_0))<br />
  
    Eq(F_352(x, k_0), F_353(x, k_0))<br />
  
    Eq(F_353(x, k_0), F_19(x, k_0)*F_354(x, k_0)*F_37(x))<br />
  
    Eq(F_355(x, k_0), F_354(x, k_0)*F_37(x))<br />
  
    Eq(F_355(x, k_0), F_186(x, k_0))<br />
  
    Eq(F_356(x, k_0), F_357(x, k_0))<br />
  
    Eq(F_357(x, k_0), F_137(x)*F_19(x, k_0)*F_358(x, k_0)*F_37(x))<br />
  
    Eq(F_359(x, k_0), F_358(x, k_0)*F_9(x, k_0))<br />
  
    Eq(F_359(x, k_0), F_360(x, k_0))<br />
  
    Eq(F_360(x, k_0), F_361(x, k_0)*F_9(x, k_0))<br />
  
    Eq(F_361(x, k_0), F_362(x, k_0) + F_380(x, k_0))<br />
  
    Eq(F_362(x, k_0), F_363(x) + F_373(x, k_0))<br />
  
    Eq(F_363(x), F_364(x) - F_366(x))<br />
  
    Eq(F_364(x), F_365(x)/F_37(x))<br />
  
    Eq(F_365(x), F_129(x))<br />
  
    Eq(F_366(x), F_367(x))<br />
  
    Eq(F_367(x), F_368(x))<br />
  
    Eq(F_368(x), F_369(x)*F_37(x))<br />
  
    Eq(F_369(x), F_370(x) + F_372(x))<br />
  
    Eq(F_370(x), F_371(x) + F_4(x))<br />
  
    Eq(F_371(x), F_2(x)*F_265(x))<br />
  
    Eq(F_372(x), F_130(x)*F_265(x))<br />
  
    Eq(F_374(x, k_0), F_373(x, k_0) + F_376(x, k_0))<br />
  
    Eq(F_375(x, k_0), F_37(x)*F_374(x, k_0))<br />
  
    Eq(F_375(x, k_0), F_175(x, k_0))<br />
  
    Eq(F_376(x, k_0), F_377(x, k_0))<br />
  
    Eq(F_378(x, k_0), F_367(x) + F_377(x, k_0))<br />
  
    Eq(F_379(x, k_0), F_37(x)*F_378(x, k_0))<br />
  
    Eq(F_379(x, k_0), F_345(x, k_0))<br />
  
    Eq(F_380(x, k_0), F_381(x, k_0))<br />
  
    Eq(F_381(x, k_0), k_0*F_378(x, k_0))<br />
  
    Eq(F_382(x, k_0), F_342(x, k_0))<br />
  
    Eq(F_383(x, k_0), F_384(x, k_0))<br />
  
    Eq(F_384(x, k_0), k_0*F_343(x, k_0))<br />
  
    Eq(F_385(x, k_0), F_203(x, k_0) + F_386(x, k_0))<br />
  
    Eq(F_386(x, k_0), F_387(x, k_0) + F_7(x, k_0))<br />
  
    Eq(F_387(x, k_0), F_25(x) + F_388(x, k_0) + F_397(x, k_0))<br />
  
    Eq(F_388(x, k_0), F_389(x, k_0)*F_9(x, k_0))<br />
  
    Eq(F_389(x, k_0), F_386(x, k_0) + F_390(x, k_0))<br />
  
    Eq(F_390(x, k_0), F_391(x, k_0) + F_394(x, k_0))<br />
  
    Eq(F_391(x, k_0), F_392(x, k_0))<br />
  
    Eq(F_392(x, k_0), F_393(x, k_0)*F_9(x, k_0))<br />
  
    Eq(F_393(x, k_0), F_391(x, k_0) + F_7(x, k_0))<br />
  
    Eq(F_394(x, k_0), F_395(x, k_0))<br />
  
    Eq(F_395(x, k_0), F_396(x, k_0)*F_9(x, k_0))<br />
  
    Eq(F_396(x, k_0), F_387(x, k_0) + F_394(x, k_0))<br />
  
    Eq(F_397(x, k_0), F_398(x, k_0)*F_9(x, k_0))<br />
  
    Eq(F_398(x, k_0), F_399(x, k_0) + F_400(x, k_0))<br />
  
    Eq(F_399(x, k_0), F_17(x, k_0) + F_391(x, k_0))<br />
  
    Eq(F_400(x, k_0), F_20(x, k_0) + F_394(x, k_0))<br />
  
    Eq(F_109(x, k_0), F_401(x, k_0) + F_402(x, k_0))<br />
  
    Eq(F_402(x, k_0), F_10(x, k_0) + F_101(x, k_0))<br />
  
    Eq(F_403(x, k_0), k_0*F_404(x, k_0))<br />
  
    Eq(F_404(x, k_0), F_405(x, k_0))<br />
  
    Eq(F_405(x, k_0), F_37(x)*F_406(x, k_0))<br />
  
    Eq(F_407(x, k_0), F_406(x, k_0) + F_409(x, k_0))<br />
  
    Eq(F_408(x, k_0), F_407(x, k_0)*F_9(x, k_0))<br />
  
    Eq(F_408(x, k_0), F_193(x, k_0))<br />
  
    Eq(F_409(x, k_0), F_410(x, k_0))<br />
  
    Eq(F_410(x, k_0), k_0*F_411(x, k_0))<br />
  
    Eq(F_411(x, k_0), F_412(x, k_0) + F_415(x, k_0))<br />
  
    Eq(F_412(x, k_0), F_2(x)*F_413(x, k_0))<br />
  
    Eq(F_413(x, k_0), F_414(x, k_0))<br />
  
    Eq(F_414(x, k_0), F_10(x, k_0)*F_19(x, k_0)*F_37(x))<br />
  
    Eq(F_415(x, k_0), F_143(x)*F_416(x, k_0))<br />
  
    Eq(F_416(x, k_0), F_417(x, k_0))<br />
  
    Eq(F_417(x, k_0), F_10(x, k_0)*F_257(x, k_0)*F_37(x))<br />
  
    Eq(F_418(x, k_0), F_419(x, k_0))<br />
  
    Eq(F_419(x, k_0), k_0*F_420(x, k_0))<br />
  
    Eq(F_420(x, k_0), F_421(x, k_0))<br />
  
    Eq(F_421(x, k_0), F_37(x)*F_422(x, k_0))<br />
  
    Eq(F_422(x, k_0), F_106(x, k_0) + F_423(x, k_0))<br />
  
    Eq(F_423(x, k_0), F_424(x, k_0) + F_460(x, k_0))<br />
  
    Eq(F_424(x, k_0), F_425(x, k_0) + F_426(x, k_0))<br />
  
    Eq(F_425(x, k_0), F_195(x, k_0)*F_281(x))<br />
  
    Eq(F_427(x, k_0), F_426(x, k_0) + F_458(x, k_0))<br />
  
    Eq(F_428(x, k_0), F_427(x, k_0) + F_430(x, k_0))<br />
  
    Eq(F_429(x, k_0), F_37(x)*F_428(x, k_0))<br />
  
    Eq(F_429(x, k_0), F_193(x, k_0))<br />
  
    Eq(F_430(x, k_0), F_431(x, k_0))<br />
  
    Eq(F_431(x, k_0), F_432(x, k_0)*F_9(x, k_0))<br />
  
    Eq(F_432(x, k_0), F_433(x, k_0) + F_454(x, k_0))<br />
  
    Eq(F_433(x, k_0), F_434(x, k_0) + F_446(x, k_0))<br />
  
    Eq(F_434(x, k_0), F_19(x, k_0)*F_435(x, k_0))<br />
  
    Eq(F_435(x, k_0), F_436(x, k_0) + F_439(x, k_0))<br />
  
    Eq(F_436(x, k_0), F_430(x, k_0) + F_437(x, k_0))<br />
  
    Eq(F_437(x, k_0), F_427(x, k_0) + F_438(x, k_0))<br />
  
    Eq(F_438(x, k_0), F_135(x)*F_195(x, k_0))<br />
  
    Eq(F_439(x, k_0), F_440(x, k_0))<br />
  
    Eq(F_440(x, k_0), F_441(x, k_0) + F_445(x, k_0))<br />
  
    Eq(F_441(x, k_0), F_19(x, k_0)*F_442(x, k_0))<br />
  
    Eq(F_442(x, k_0), F_443(x, k_0) + F_444(x, k_0))<br />
  
    Eq(F_443(x, k_0), F_10(x, k_0)*F_2(x))<br />
  
    Eq(F_444(x, k_0), F_107(x, k_0)*F_137(x))<br />
  
    Eq(F_445(x, k_0), F_137(x)*F_423(x, k_0))<br />
  
    Eq(F_446(x, k_0), F_447(x, k_0))<br />
  
    Eq(F_447(x, k_0), k_0*F_448(x, k_0))<br />
  
    Eq(F_448(x, k_0), F_449(x, k_0))<br />
  
    Eq(F_450(x, k_0), F_449(x, k_0) + F_452(x, k_0))<br />
  
    Eq(F_451(x, k_0), F_37(x)*F_450(x, k_0))<br />
  
    Eq(F_451(x, k_0), F_404(x, k_0))<br />
  
    Eq(F_452(x, k_0), F_453(x, k_0))<br />
  
    Eq(F_453(x, k_0), F_19(x, k_0)*F_37(x)*F_435(x, k_0))<br />
  
    Eq(F_454(x, k_0), F_455(x, k_0))<br />
  
    Eq(F_455(x, k_0), k_0*F_456(x, k_0))<br />
  
    Eq(F_457(x, k_0), F_37(x)*F_456(x, k_0))<br />
  
    Eq(F_457(x, k_0), F_416(x, k_0))<br />
  
    Eq(F_458(x, k_0), F_193(x, k_0) + F_459(x, k_0))<br />
  
    Eq(F_459(x, k_0), F_28(x, k_0))<br />
  
    Eq(F_461(x, k_0), F_460(x, k_0) + F_467(x, k_0))<br />
  
    Eq(F_461(x, k_0), F_462(x, k_0))<br />
  
    Eq(F_462(x, k_0), F_463(x, k_0)*F_9(x, k_0))<br />
  
    Eq(F_463(x, k_0), F_464(x, k_0) + F_466(x, k_0))<br />
  
    Eq(F_464(x, k_0), F_19(x, k_0)*F_465(x, k_0))<br />
  
    Eq(F_465(x, k_0), F_111(x, k_0) + F_442(x, k_0))<br />
  
    Eq(F_466(x, k_0), F_143(x)*F_423(x, k_0))<br />
  
    Eq(F_467(x, k_0), F_111(x, k_0)*F_17(x, k_0))<br />
  
  Pack JSON:<br />{&#34;name&#34;: &#34;point_placements_tracked_fusion_tracked_component_fusion_symmetries&#34;, &#34;initial_strats&#34;: [{&#34;class_module&#34;: &#34;tilings.strategies.rearrange_assumption&#34;, &#34;strategy_class&#34;: &#34;RearrangeAssumptionFactory&#34;}, {&#34;class_module&#34;: &#34;tilings.strategies.assumption_insertion&#34;, &#34;strategy_class&#34;: &#34;AddAssumptionFactory&#34;}, {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorFactory&#34;, &#34;interleaving&#34;: null, &#34;unions&#34;: false, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;tracked&#34;: false}, {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;PointCorroborationFactory&#34;, &#34;ignore_parent&#34;: true}, {&#34;class_module&#34;: &#34;tilings.strategies.fusion.fusion&#34;, &#34;strategy_class&#34;: &#34;FusionFactory&#34;, &#34;tracked&#34;: true}, {&#34;class_module&#34;: &#34;tilings.strategies.fusion.component&#34;, &#34;strategy_class&#34;: &#34;ComponentFusionFactory&#34;, &#34;tracked&#34;: true, &#34;isolation_level&#34;: null}, {&#34;class_module&#34;: &#34;tilings.strategies.detect_components&#34;, &#34;strategy_class&#34;: &#34;DetectComponentsStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;inferrable&#34;: true, &#34;possibly_empty&#34;: true, &#34;workable&#34;: true}, {&#34;class_module&#34;: &#34;tilings.strategies.monotone_sliding&#34;, &#34;strategy_class&#34;: &#34;MonotoneSlidingFactory&#34;}, {&#34;class_module&#34;: &#34;tilings.strategies.point_jumping&#34;, &#34;strategy_class&#34;: &#34;AssumptionAndPointJumpingFactory&#34;}, {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementCorroborationFactory&#34;, &#34;ignore_parent&#34;: true}], &#34;inferral_strats&#34;: [{&#34;class_module&#34;: &#34;tilings.strategies.row_and_col_separation&#34;, &#34;strategy_class&#34;: &#34;RowColumnSeparationStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;inferrable&#34;: true, &#34;possibly_empty&#34;: false, &#34;workable&#34;: true}, {&#34;class_module&#34;: &#34;tilings.strategies.obstruction_inferral&#34;, &#34;strategy_class&#34;: &#34;ObstructionTransitivityFactory&#34;}], &#34;ver_strats&#34;: [{&#34;class_module&#34;: &#34;tilings.strategies.verification&#34;, &#34;strategy_class&#34;: &#34;BasicVerificationStrategy&#34;}, {&#34;class_module&#34;: &#34;tilings.strategies.verification&#34;, &#34;strategy_class&#34;: &#34;InsertionEncodingVerificationStrategy&#34;, &#34;ignore_parent&#34;: false}, {&#34;class_module&#34;: &#34;tilings.strategies.verification&#34;, &#34;strategy_class&#34;: &#34;OneByOneVerificationStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;basis&#34;: [], &#34;symmetry&#34;: false}, {&#34;class_module&#34;: &#34;tilings.strategies.verification&#34;, &#34;strategy_class&#34;: &#34;LocallyFactorableVerificationStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;basis&#34;: [], &#34;symmetry&#34;: false}, {&#34;class_module&#34;: &#34;tilings.strategies.verification&#34;, &#34;strategy_class&#34;: &#34;ComponentVerificationStrategy&#34;, &#34;ignore_parent&#34;: false}], &#34;expansion_strats&#34;: [[{&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;CellInsertionFactory&#34;, &#34;ignore_parent&#34;: false, &#34;maxreqlen&#34;: 1, &#34;extra_basis&#34;: [], &#34;one_cell_only&#34;: false}, {&#34;class_module&#34;: &#34;tilings.strategies.requirement_placement&#34;, &#34;strategy_class&#34;: &#34;PatternPlacementFactory&#34;, &#34;partial&#34;: false, &#34;ignore_parent&#34;: false, &#34;dirs&#34;: [0, 1, 2, 3], &#34;point_only&#34;: false}], [{&#34;class_module&#34;: &#34;tilings.strategies.requirement_placement&#34;, &#34;strategy_class&#34;: &#34;FusableRowAndColumnPlacementFactory&#34;, &#34;partial&#34;: false, &#34;ignore_parent&#34;: false, &#34;dirs&#34;: [0, 1, 2, 3], &#34;place_row&#34;: true, &#34;place_col&#34;: true}]], &#34;symmetries&#34;: [{&#34;class_module&#34;: &#34;tilings.strategies.symmetry&#34;, &#34;strategy_class&#34;: &#34;SymmetriesFactory&#34;, &#34;basis&#34;: null}], &#34;iterative&#34;: false}<br />
  Specification JSON:<br />{&#34;root&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, &#34;rules&#34;: [{&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;ReverseRule&#34;, &#34;original_rule&#34;: {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 2], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 2], [0, 2], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 2], [0, 2], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 2], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 2], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 2], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 0], [0, 2], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 1], 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[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 0], [0, 2], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [2, 2], [2, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}]}]}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [1, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [1, 0]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 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{&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1], [1, 1]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]}]}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]}]}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 0], [0, 2], [2, 0], [2, 2]], [[1, 1]]]}}, &#34;idx&#34;: 0}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;ReverseRule&#34;, &#34;original_rule&#34;: {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 0], 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{&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [1, 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1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1], [1, 1]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]}]}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]}]}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [1, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [1, 0]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1], [1, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]}]}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}]}}, &#34;idx&#34;: 1}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;ReverseRule&#34;, &#34;original_rule&#34;: {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: 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&#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 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0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], 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1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1], [1, 1]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]}]}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [1, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [1, 0]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1], [1, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]}]}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]}}, &#34;idx&#34;: 1}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;ReverseRule&#34;, &#34;original_rule&#34;: {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [1, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [1, 0]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1], [1, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]}]}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]}]}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [1, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [1, 0]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1], [1, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]}]}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}]}}, &#34;idx&#34;: 0}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;ReverseRule&#34;, &#34;original_rule&#34;: {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 3], [3, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 3], [3, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 3], [3, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 3], [3, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 3], [2, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 3], [3, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 3], [2, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 3], [3, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 3], [2, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 3], [3, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [2, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [3, 3]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [0, 3]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 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&#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]}]}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]}]}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}]}}, &#34;idx&#34;: 1}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;ReverseRule&#34;, &#34;original_rule&#34;: {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[3, 0], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[3, 2], [3, 0], [3, 2]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 2], [3, 2], [3, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 2], [3, 0], [3, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 2], [3, 0], [3, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[3, 2], [3, 0], [3, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [3, 2], [3, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 2], [3, 2], [3, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 2], [3, 2], [3, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [3, 2]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [4, 2]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[2, 2], [2, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[2, 2], [2, 2], [3, 2], [4, 2]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[2, 2], [2, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[2, 2], [3, 2], [3, 2], [4, 2]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[2, 2], [3, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[2, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[3, 0], [3, 2], [4, 2], [4, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[3, 0], [4, 2], [4, 2], [4, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[3, 2], [3, 2], [4, 2], [4, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[3, 2], [3, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[3, 2], [4, 2], [4, 2], [4, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[3, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[4, 0], [4, 2], [4, 2], [4, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[4, 2], [4, 2], [4, 2], [4, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[4, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[2, 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2], [4, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [2, 2], [2, 2], [3, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [2, 2], [2, 2], [4, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [2, 2], [3, 2], [4, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [2, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [3, 2], [3, 2], [4, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [3, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [3, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [4, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [2, 2], [3, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [2, 2], [4, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [3, 2], [4, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [3, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [4, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [2, 2], [3, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [2, 2], [4, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [3, 2], [4, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [3, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [4, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [2, 2], [3, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [2, 2], [4, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [3, 2], [4, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [3, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [4, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [2, 2], [3, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [2, 2], [4, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [3, 2], [4, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [4, 2], [4, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 2]]}]}]}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 0], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[2, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [3, 1]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[1, 1], [1, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: 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0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [3, 1]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [2, 1], [3, 1]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[1, 1], [2, 1], [2, 1], [3, 1]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[1, 1], [2, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[1, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[2, 0], [2, 1], [3, 1], [3, 0]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[2, 0], [3, 1], [3, 1], [3, 0]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[2, 1], [2, 1], [3, 1], [3, 0]]}, {&#34;patt&#34;: [1, 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[0, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1], [3, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [2, 1], [3, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [3, 1], [3, 1]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}]}]}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 2], [2, 2], [3, 0], [3, 2], [4, 0], [4, 2]], [[1, 1]]]}}, &#34;idx&#34;: 0}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;ReverseRule&#34;, &#34;original_rule&#34;: {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], 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2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 0], [0, 2], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}]}]}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]}]}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 0], [0, 2], [2, 0], [2, 2]], [[1, 1]]]}}, &#34;idx&#34;: 0}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;ReverseRule&#34;, &#34;original_rule&#34;: {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 2], [2, 2], [3, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 0], [3, 2], [3, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 2], [3, 2], [3, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 2], [2, 2], [3, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 2], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 2], [3, 2], [3, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [2, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [3, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [2, 2], [3, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[0, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[0, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [2, 2], [2, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}]}]}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 1], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1], [1, 1]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}]}]}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 2], [2, 2], [3, 0], [3, 2]], [[1, 1]]]}}, &#34;idx&#34;: 0}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;ReverseRule&#34;, &#34;original_rule&#34;: {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [3, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 2], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 2], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 0], [0, 2], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}]}]}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}]}]}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]}]}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 0], [0, 2], [2, 0], [3, 2]], [[1, 1]]]}}, &#34;idx&#34;: 0}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;ReverseRule&#34;, &#34;original_rule&#34;: {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 3], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 0], [2, 3], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 2], [2, 3], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 2], [2, 3], [2, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 3], [2, 3], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 3], [2, 3], [2, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 2], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 3], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 3], [2, 2], [2, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 3], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 3], [2, 3], [2, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 3], [2, 3], [2, 2]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 2], [2, 3], [2, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [2, 3], [2, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 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{&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 2], [0, 2], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 2], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 2], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 2], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 0], [0, 2], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}]}]}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 2], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 2], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 2], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 2], [1, 1], [1, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 2], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 1]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [1, 2], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [1, 2], [1, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}]}]}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 0], [0, 2], [2, 0], [2, 2], [2, 3]], [[1, 1]]]}}, &#34;idx&#34;: 0}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;ReverseRule&#34;, &#34;original_rule&#34;: {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 2], [1, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [1, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [1, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 0], [1, 3], [1, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 2], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 3], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 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[[1, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[1, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[1, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[1, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 2], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 2], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 0], [0, 2], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}]}]}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 2], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[1, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[1, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[1, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[1, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[1, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}]}]}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]}]}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 0], [0, 2], [1, 0], [1, 2], [1, 3], [3, 3]], [[2, 1]]]}}, &#34;idx&#34;: 0}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;ReverseRule&#34;, &#34;original_rule&#34;: {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 2], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 2], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 2], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 2], [1, 1], [1, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 2], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 1]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [1, 2], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [1, 2], [1, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 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&#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}]}]}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 2], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 2], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 1]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [1, 2], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [1, 2], [1, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}]}]}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 2], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 2], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 2], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 2], [1, 1], [1, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 2], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 1]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [1, 2], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [1, 2], [1, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}]}]}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}]}}, &#34;idx&#34;: 0}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;ReverseRule&#34;, &#34;original_rule&#34;: {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 2], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[1, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[1, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[1, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[1, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[1, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}]}]}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}]}]}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 2], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[1, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[1, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[1, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[1, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[1, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}]}]}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}]}}, &#34;idx&#34;: 0}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;ReverseRule&#34;, &#34;original_rule&#34;: {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [3, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [1, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [3, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 3], [4, 3], [4, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[4, 2], [4, 3], [4, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[4, 3], [4, 3], [4, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 3], [4, 2], [4, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 3], [4, 3], [4, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[4, 3], [4, 2], [4, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[4, 3], [4, 3], [4, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 2], [4, 3], [4, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [4, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [1, 3], [4, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [4, 3], [4, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [4, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[1, 3], [4, 3], [4, 3], [4, 3]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[4, 3], [4, 3], [4, 3], [4, 3]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[1, 3], [4, 3], [4, 3], [4, 3]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[4, 3], [4, 3], [4, 3], [4, 3]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[1, 3], [4, 3], [4, 3], [4, 3]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[4, 3], [4, 3], [4, 3], [4, 3]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 3], [4, 3], [4, 3], [4, 3]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[4, 3], [4, 3], [4, 3], [4, 3]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[1, 3], [4, 3], [4, 3], [4, 3]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[4, 3], [4, 3], [4, 3], [4, 3]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[1, 3], [4, 3], [4, 3], [4, 3]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[4, 3], [4, 3], [4, 3], [4, 3]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 2], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 2], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 0], [0, 2], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 3]]}]}]}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [2, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 2], [3, 2], [3, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 1], [3, 2], [3, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 2], [3, 2], [3, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 2], [3, 1], [3, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 2], [3, 2], [3, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 2], [3, 1], [3, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 2], [3, 2], [3, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [3, 2], [3, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [1, 2], [3, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [3, 2], [3, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [3, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[1, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[1, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[1, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[1, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[1, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}]}]}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]}]}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 0], [0, 2], [1, 3], [3, 0], [4, 2], [4, 3]], [[2, 1]]]}}, &#34;idx&#34;: 0}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;ReverseRule&#34;, &#34;original_rule&#34;: {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 0], [3, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[4, 1], [4, 3], [4, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[4, 3], [4, 3], [4, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[4, 3], [4, 1], [4, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[4, 3], [4, 3], [4, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[4, 3], [4, 3], [4, 3], [4, 3]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[4, 3], [4, 3], [4, 3], [4, 3]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[4, 3], [4, 3], [4, 3], [4, 3]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[4, 3], [4, 3], [4, 3], [4, 3]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[4, 3], [4, 3], [4, 3], [4, 3]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[4, 3], [4, 3], [4, 3], [4, 3]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 3]]}]}]}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}]}]}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]}]}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}]}]}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 0], [1, 0], [3, 0]], [[2, 2]], [[4, 1], [4, 3]]]}}, &#34;idx&#34;: 0}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;ReverseRule&#34;, &#34;original_rule&#34;: {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}]}]}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]}]}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]}]}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 0], [0, 1], [1, 0], [1, 1]], [[2, 2]]]}}, &#34;idx&#34;: 0}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;ReverseRule&#34;, &#34;original_rule&#34;: {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [2, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 2], [3, 2], [3, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 1], [3, 2], [3, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 2], [3, 2], [3, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 2], [3, 1], [3, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 2], [3, 2], [3, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 2], [3, 1], [3, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 2], [3, 2], [3, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 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2]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[1, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[1, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}]}]}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 1], [2, 2], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 2], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [2, 2], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [2, 2], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}]}]}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 2], [2, 2], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 2], [2, 2], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 1]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[1, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[1, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[1, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[1, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[1, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}]}]}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}]}}, &#34;idx&#34;: 0}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;ReverseRule&#34;, &#34;original_rule&#34;: {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: 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0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}]}]}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]}]}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 0], [0, 2], [1, 0], [1, 2], [3, 0], [4, 2]], [[2, 1]]]}}, &#34;idx&#34;: 0}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;ReverseRule&#34;, &#34;original_rule&#34;: {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 3, 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&#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 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{&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}]}]}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[0, 1], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[0, 1], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], 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0], [0, 1], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 1], [1, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 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1], [1, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}]}]}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}]}}, &#34;idx&#34;: 1}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;ReverseRule&#34;, &#34;original_rule&#34;: {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 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[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]}]}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}]}]}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]}]}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]}}, &#34;idx&#34;: 1}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;ReverseRule&#34;, &#34;original_rule&#34;: {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 3], [3, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 3], [3, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 3], [3, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 3], [3, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 3], [2, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 3], [3, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 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&#34;pos&#34;: [[0, 0], [0, 3], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 3], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [2, 3]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 0], [0, 2], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 0], [0, 0], [0, 2], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 0], [0, 0], [0, 3], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [2, 3]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 0], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 0], [0, 3], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [2, 3]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 3]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 3]]}]}]}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 2], [2, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [2, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2], [3, 2]]}, {&#34;patt&#34;: 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0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}]}]}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 0], [0, 2], [0, 3], [2, 3], [3, 3], [4, 3]], [[1, 1]]]}}, &#34;idx&#34;: 0}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;ReverseRule&#34;, &#34;original_rule&#34;: {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 2], [3, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [3, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], 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{&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [2, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 2]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 2]]}]}]}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [2, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 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[0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}]}]}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, 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[0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 0], [0, 2], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}]}]}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 2], [2, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [2, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1, 3], 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&#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}]}]}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, 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[0, 0], [0, 3], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 0], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 0], [0, 3], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}]}]}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, 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{&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}]}]}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 0], [0, 2], [0, 3], [2, 3], [3, 3]], [[1, 1]]]}}, &#34;idx&#34;: 0}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;ReverseRule&#34;, &#34;original_rule&#34;: {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, 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0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}]}]}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}]}}, &#34;idx&#34;: 1}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;ReverseRule&#34;, &#34;original_rule&#34;: {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [3, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [4, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [3, 2], [4, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [3, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [4, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [3, 2], [4, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[0, 2], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[0, 2], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 2], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], 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{&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 2], [2, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 1], [2, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [2, 1], [2, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 2]]}]}]}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [3, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [3, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[0, 1], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[0, 1], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 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3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 1], [1, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}]}]}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 1], [0, 2], [2, 1], [3, 2], [4, 2]], [[1, 0]]]}}, &#34;idx&#34;: 0}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;ReverseRule&#34;, &#34;original_rule&#34;: {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], 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{&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [1, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 2], [0, 4], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 4], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 4], [1, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 4], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 4]]}]}]}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [2, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], 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{&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [1, 0], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [1, 0], [1, 0], [1, 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[0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [1, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}]}]}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 2], [0, 4], [1, 0], [1, 1], [3, 2], [4, 4]], [[2, 3]]]}}, &#34;idx&#34;: 0}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;ReverseRule&#34;, &#34;original_rule&#34;: {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: 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{&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [1, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [1, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}]}]}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 2], [1, 0], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 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&#34;pos&#34;: [[1, 0], [1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [1, 0], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [1, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}]}]}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [2, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [3, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [3, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [3, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [3, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 2], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 3], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 3], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}]}]}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}]}}, &#34;idx&#34;: 1}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;ReverseRule&#34;, &#34;original_rule&#34;: {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [2, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [3, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [3, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [3, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [3, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 2], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 3], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 3], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}]}]}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}]}]}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 2], [0, 3], [2, 2], [3, 3]], [[1, 0], [1, 1]]]}}, &#34;idx&#34;: 0}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;ReverseRule&#34;, &#34;original_rule&#34;: {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 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[0, 3], [4, 3], [4, 3]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [4, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [4, 3], [4, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [4, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [4, 3], [4, 3]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 1], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 3], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 3], [0, 3], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 3], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 3], [0, 3], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 3], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1], [0, 3], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 3], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1], [0, 3], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 1], [0, 3], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 3], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 3]]}]}]}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [3, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [3, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}]}]}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 1], [0, 3], [1, 0], [3, 1], [4, 3]], [[2, 2]]]}}, &#34;idx&#34;: 0}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;ReverseRule&#34;, &#34;original_rule&#34;: {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [2, 1]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}]}]}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [1, 0]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}]}]}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [2, 1]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}]}]}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}]}}, &#34;idx&#34;: 1}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;ReverseRule&#34;, &#34;original_rule&#34;: {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [3, 2], [3, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 0], [3, 2], [3, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 2], [3, 2], [3, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 2], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 2], [3, 2], [3, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [3, 2], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0], [3, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}]}]}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 1], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}]}]}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 0], [2, 0], [3, 0], [3, 2]], [[1, 1]]]}}, &#34;idx&#34;: 0}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;ReverseRule&#34;, &#34;original_rule&#34;: {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 1], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}]}]}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}]}]}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 1], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}]}]}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}]}}, &#34;idx&#34;: 0}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;ReverseRule&#34;, &#34;original_rule&#34;: {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [4, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 0], [4, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 2], [4, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[4, 0], [4, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[5, 3], [5, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [3, 2], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [4, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 0], [3, 2], [3, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 2], [3, 2], [3, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 2], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 2], [3, 2], [3, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [3, 2], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0], [3, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 3]]}]}]}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [3, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 0], [3, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 1], [3, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 1], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}]}]}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]}]}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 0], [2, 0], [3, 0], [3, 2], [4, 0]], [[1, 1]], [[5, 3]]]}}, &#34;idx&#34;: 0}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;ReverseRule&#34;, &#34;original_rule&#34;: {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]}]}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}]}]}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]}]}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]}}, &#34;idx&#34;: 1}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;ReverseRule&#34;, &#34;original_rule&#34;: {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]}]}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]}]}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]}}, &#34;idx&#34;: 1}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;ReverseRule&#34;, &#34;original_rule&#34;: {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 2], [2, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [2, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [2, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [3, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2], [3, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [2, 2], [3, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 0], [0, 1], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 2], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 2], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 2], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 2], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 2], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 0], [0, 2], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}]}]}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [1, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2], [2, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 0], [0, 1], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 2], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 2], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 2], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 2], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 2], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 0], [0, 2], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}]}]}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 2], [2, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: 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{&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}]}]}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}]}}, &#34;idx&#34;: 0}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;ReverseRule&#34;, &#34;original_rule&#34;: {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: 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{&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [3, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [3, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}]}]}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [2, 1]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}]}]}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [3, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [3, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}]}]}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}]}}, &#34;idx&#34;: 1}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;ReverseRule&#34;, &#34;original_rule&#34;: {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [3, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [3, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}]}]}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}]}]}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [3, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [3, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}]}]}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}]}}, &#34;idx&#34;: 1}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;ReverseRule&#34;, &#34;original_rule&#34;: {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}]}]}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}]}]}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}]}]}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]}}, &#34;idx&#34;: 1}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;ReverseRule&#34;, &#34;original_rule&#34;: {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 2], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 2], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 1]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [1, 2], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [1, 2], [1, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 1], [0, 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[0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}]}]}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]}]}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 2], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 2], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 1]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [1, 2], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [1, 2], [1, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}]}]}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]}}, &#34;idx&#34;: 1}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;ReverseRule&#34;, &#34;original_rule&#34;: {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [3, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [4, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 2], [4, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [3, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [4, 2], [4, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [4, 3], [4, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 2], [4, 2], [4, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 2], [4, 3], [4, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 2], [4, 3], [4, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 0], [4, 2], [4, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 0], [4, 3], [4, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[4, 0], [4, 2], [4, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[4, 0], [4, 3], [4, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[4, 2], [4, 2], [4, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[4, 2], [4, 3], [4, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[4, 2], [4, 3], [4, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[4, 3], [4, 3], [4, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[4, 3], [4, 3], [4, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 2], [4, 0], [4, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 2], [4, 2], [4, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[4, 2], [4, 0], [4, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[4, 2], [4, 2], [4, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[4, 3], [4, 0], [4, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[4, 3], [4, 2], [4, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[4, 3], [4, 2], [4, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[4, 3], [4, 3], [4, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[4, 3], [4, 3], [4, 2]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [4, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 2], [2, 2], [4, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 2], [4, 3], [4, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [4, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [2, 2], [4, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [4, 3], [4, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [4, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [2, 2], [4, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [4, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [2, 2], [4, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[4, 3], [4, 3], [4, 3], [4, 3]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[4, 3], [4, 3], [4, 3], [4, 3]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[4, 3], [4, 3], [4, 3], [4, 3]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[4, 3], [4, 3], [4, 3], [4, 3]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[4, 3], [4, 3], [4, 3], [4, 3]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[4, 3], [4, 3], [4, 3], [4, 3]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 2], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 2], [0, 2], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 2], [0, 2], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 2], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 2], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 2], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 0], [0, 2], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 3]]}]}]}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [2, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 1], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [3, 1], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [3, 2], [3, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [3, 1], [3, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [3, 2], [3, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [3, 2], [3, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 0], [3, 1], [3, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 0], [3, 2], [3, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 0], [3, 1], [3, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 0], [3, 2], [3, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 1], [3, 1], [3, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 1], [3, 2], [3, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 1], [3, 2], [3, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 2], [3, 2], [3, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 2], [3, 2], [3, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [3, 1], [3, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 1], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 1], [3, 1], [3, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 2], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 2], [3, 1], [3, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 2], [3, 1], [3, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 2], [3, 2], [3, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 2], [3, 2], [3, 1]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [1, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [3, 2], [3, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [3, 2], [3, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 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{&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, 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1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}]}]}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 0], [0, 2], [2, 2], [3, 0], [4, 0], [4, 2], [4, 3]], [[1, 1]]]}}, &#34;idx&#34;: 0}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;ReverseRule&#34;, &#34;original_rule&#34;: {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, 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&#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}]}]}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 1], [2, 2], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 1], [2, 2], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 1], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 2], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 2], [2, 1], [2, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 2], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 1]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [2, 2], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [2, 2], [2, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}]}]}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [2, 2], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 1], [2, 2], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 2], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 1]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [2, 2], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [2, 2], [2, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 3, 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{&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}]}]}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]}}, &#34;idx&#34;: 1}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;ReverseRule&#34;, &#34;original_rule&#34;: {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 1], [2, 2], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 2], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 1]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [2, 2], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [2, 2], [2, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}]}]}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 1], [2, 2], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 2], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [2, 2], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}]}]}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 1], [2, 2], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 2], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 1]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [2, 2], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [2, 2], [2, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}]}]}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]}}, &#34;idx&#34;: 1}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;ReverseRule&#34;, &#34;original_rule&#34;: {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 4], [2, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 4], [2, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 3], [3, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 3], [3, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [3, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [3, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 4], [3, 4], [3, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 4], [3, 4], [3, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 4], [3, 4], [3, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 4], [3, 4], [3, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 4], [3, 4], [3, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 4], [3, 4], [3, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 4], [3, 4], [3, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 4], [3, 4], [3, 3]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[2, 4], [3, 4], [3, 4], [3, 4]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[3, 4], [3, 4], [3, 4], [3, 4]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[2, 4], [3, 4], [3, 4], [3, 4]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[3, 4], [3, 4], [3, 4], [3, 4]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[2, 4], [3, 4], [3, 4], [3, 4]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[3, 4], [3, 4], [3, 4], [3, 4]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 4], [3, 4], [3, 4], [3, 4]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[3, 4], [3, 4], [3, 4], [3, 4]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 1], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[2, 4], [3, 4], [3, 4], [3, 4]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[3, 4], [3, 4], [3, 4], [3, 4]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[2, 4], [3, 4], [3, 4], [3, 4]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[3, 4], [3, 4], [3, 4], [3, 4]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 3], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 3], [0, 3], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 3], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 3], [0, 3], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 3], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1], [0, 3], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 3], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1], [0, 3], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 1], [0, 3], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 3], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 4]]}]}]}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [2, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 3], [2, 3], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 3], [2, 3], [2, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 3], [2, 3], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 3], [2, 3], [2, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 3], [2, 3], [2, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 3], [2, 3], [2, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 3], [2, 3], [2, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 3], [2, 3], [2, 2]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[1, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[1, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[1, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[1, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[1, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}]}]}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}], 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0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 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{&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, 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0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}]}]}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]}]}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}]}]}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, 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2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [2, 2], [2, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [2, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [2, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [2, 2], [2, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [2, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [3, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [2, 2], [3, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [2, 2], [2, 2], [3, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [2, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [3, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [2, 2], [3, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [2, 2], [2, 2], [3, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [2, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [3, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [2, 2], [3, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [3, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [2, 2], [3, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [3, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [2, 2], [3, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [3, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [2, 2], [3, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [3, 2], [3, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}]}]}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[1, 1], [1, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[1, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[2, 0], [2, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[1, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[2, 0], [2, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[1, 1], [1, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[1, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[2, 1], [2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[0, 1], [1, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[0, 1], [2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[0, 1], [2, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [3, 1, 2, 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{&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [2, 1], [2, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}]}]}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 2], [2, 2], [3, 0], [3, 2]], [[1, 1]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[1, 1], [1, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[1, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[2, 0], [2, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[1, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[2, 0], [2, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[1, 1], [1, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[1, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[2, 1], [2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [2, 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[0, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 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{&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[1, 1], [1, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[1, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[2, 1], [2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 3, 1, 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{&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [2, 1], [2, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}]}]}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: true, 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{&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1], [1, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]}]}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1], [1, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]}]}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 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[[0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1], [1, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: 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[[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}]}]}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1], [1, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]}]}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[0, 0], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[0, 0], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [2, 0], [2, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}]}]}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}]}]}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[0, 0], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[0, 0], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [2, 0], [2, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}]}]}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 1], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 1], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[2, 2], [2, 1], [2, 2]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2]]}, 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0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [4, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [1, 2], [2, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [1, 2], [4, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [2, 2], [4, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [4, 2], [4, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 2]]}]}]}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 0], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[2, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [3, 1]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[1, 1], [1, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[1, 1], [1, 1], [2, 1], [3, 1]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[1, 1], [1, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[1, 1], [2, 1], [2, 1], [3, 1]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[1, 1], [2, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[1, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[2, 0], [2, 1], [3, 1], [3, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[2, 0], [3, 1], [3, 1], [3, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[2, 1], [2, 1], [3, 1], [3, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[2, 1], [2, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[2, 1], [3, 1], [3, 1], [3, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[2, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[3, 0], [3, 1], [3, 1], [3, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [3, 1]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [2, 1], [3, 1]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[1, 1], [2, 1], [2, 1], [3, 1]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[1, 1], [2, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[1, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[2, 0], [2, 1], [3, 1], [3, 0]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[2, 0], [3, 1], [3, 1], [3, 0]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[2, 1], [2, 1], [3, 1], [3, 0]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[2, 1], [2, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[2, 1], [3, 1], [3, 1], [3, 0]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[2, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[3, 0], [3, 1], [3, 1], [3, 0]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 0]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [3, 1]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[1, 1], [1, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[1, 1], [1, 1], [2, 1], [3, 1]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[1, 1], [1, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[1, 1], [2, 1], [2, 1], [3, 1]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[1, 1], [2, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[1, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[2, 1], [2, 0], [3, 1], [3, 0]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[2, 1], [2, 1], [3, 1], [3, 0]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[2, 1], [2, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[2, 1], [3, 0], [3, 1], [3, 0]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[2, 1], [3, 1], [3, 1], [3, 0]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[2, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[3, 1], [3, 0], [3, 1], [3, 0]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 0]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [3, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [2, 1], [3, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 1], [2, 1], [2, 1], [3, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 1], [2, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 1], [2, 1], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 1], [2, 1], [3, 1], [3, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 1], [2, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 1], [3, 1], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 1], [3, 1], [3, 1], [3, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[3, 1], [3, 1], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1], [3, 1]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[0, 1], [1, 1], [2, 1], [3, 1]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[0, 1], [1, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[0, 1], [2, 0], [3, 1], [3, 0]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[0, 1], [2, 1], [3, 1], [3, 0]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[0, 1], [2, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[0, 1], [3, 0], [3, 1], [3, 0]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[0, 1], [3, 1], [3, 1], [3, 0]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[0, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [3, 1, 2, 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&#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}]}]}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]}]}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 2], [1, 2], [2, 1], [2, 2], [4, 1], [4, 2]], [[3, 0]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}]}]}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.assumption_insertion&#34;, &#34;strategy_class&#34;: &#34;AddAssumptionsStrategy&#34;, &#34;workable&#34;: false, &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}]}]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]}]}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}]}]}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]}]}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1], [1, 1]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]}]}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}]}]}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1], [1, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]}]}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 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&#34;pos&#34;: [[1, 0], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 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2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 2], [0, 3]], [[1, 0], [1, 1]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 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3], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [1, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}], 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[0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}]}]}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: 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[0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}]}]}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 0], 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[0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}]}]}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}]}]}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [1, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [3, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2], [3, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 2], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 2], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 0], [0, 2], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}]}]}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}]}]}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]}]}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 0], [0, 2], [1, 2], [3, 2]], [[2, 1]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], 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2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 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[[0, 0]]}]}]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [3, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 2], [3, 2], [3, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 2], [3, 2], [3, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 2], [3, 2], [3, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 2], [3, 2], [3, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[2, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[2, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[2, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[2, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[2, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}]}]}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[1, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[1, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[1, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[1, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[1, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}]}]}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 1], [2, 2], [3, 1], [3, 2]], [[1, 0]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]}]}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]}]}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]}]}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 4], [3, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[4, 2], [4, 4], [4, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[4, 4], [4, 4], [4, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 4], [4, 2], [4, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 4], [4, 4], [4, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[4, 4], [4, 2], [4, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[4, 4], [4, 4], [4, 2]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 2], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 2], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 2], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [4, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 4], [4, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [4, 4], [4, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 4], [0, 4], [4, 2]]}, {&#34;patt&#34;: 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[0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [4, 4]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [4, 4], [4, 4]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 4], [0, 4], [4, 4], [4, 4], [4, 4]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 4], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 4], [0, 4], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 4], [0, 4], [4, 4], [4, 4]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 4], [4, 4], [4, 4], [4, 4]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [4, 4]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [4, 4], [4, 4]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 4], [0, 4], [4, 4], [4, 4], [4, 4]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 4], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 4], [0, 2], [0, 4], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 4], [0, 4], [4, 4], [4, 4]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 4], [4, 4], [4, 4], [4, 4]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [4, 4]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [4, 4], [4, 4]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 4], [0, 4], [4, 4], [4, 4], [4, 4]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 4], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 4], [0, 4], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 4], [0, 4], [4, 4], [4, 4]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 4], [4, 4], [4, 4], [4, 4]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [4, 4]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [4, 4], [4, 4]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [4, 4], [4, 4], [4, 4]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 4], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 4], [0, 2], [0, 4], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 4], [0, 4], [4, 4], [4, 4]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [4, 4]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [4, 4], [4, 4]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 4], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 4], [0, 4], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 4], [0, 4], [4, 4], [4, 4]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [4, 4]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [4, 4], [4, 4]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 4], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 4], [0, 2], [0, 2], [0, 4], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 4], [0, 2], [0, 4], [4, 4], [4, 4]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [4, 4]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [4, 4], [4, 4]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 2], [0, 4], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 2], [0, 4], [4, 4], [4, 4]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [4, 4]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [4, 4], [4, 4]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 4]]}]}]}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 2], [1, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 1], [2, 2], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [2, 2], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 2], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 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&#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [2, 2], [2, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}]}]}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]}]}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]}]}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 2], [0, 4], [3, 1], [4, 2], [4, 4]], [[1, 0]], [[2, 3]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 2], [1, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 1], [2, 2], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [2, 2], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 2], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 1]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [2, 2], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [2, 2], [2, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [2, 1]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [2, 1]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[0, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[0, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [2, 2], [2, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}]}]}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 1], [2, 2], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 2], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [2, 2], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}]}]}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [1, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [1, 0]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 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[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1], [1, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]}]}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 1], [2, 2], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 2], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [2, 2], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}]}]}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]}]}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]}]}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 1], [2, 1], [2, 2]], [[1, 0]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 2], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[2, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[2, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[2, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[2, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[2, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}]}]}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 2], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[2, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[2, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[2, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[2, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[2, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}]}]}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.detect_components&#34;, &#34;strategy_class&#34;: &#34;DetectComponentsStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;inferrable&#34;: true, &#34;possibly_empty&#34;: true, &#34;workable&#34;: true}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 2], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[2, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[2, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[2, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[2, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[2, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}]}]}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[1, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[1, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[1, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[1, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[1, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}]}]}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 2], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[2, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[2, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[2, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[2, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[2, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}]}]}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [3, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 2], [3, 2], [3, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 2], [3, 2], [3, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 2], [3, 2], [3, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 2], [3, 2], [3, 1]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[2, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[2, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[2, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[2, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[2, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}]}]}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [3, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 2], [3, 2], [3, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 2], [3, 2], [3, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 2], [3, 2], [3, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 2], [3, 2], [3, 1]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[2, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[2, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[2, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[2, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[2, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}]}]}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.detect_components&#34;, &#34;strategy_class&#34;: &#34;DetectComponentsStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;inferrable&#34;: true, &#34;possibly_empty&#34;: true, &#34;workable&#34;: true}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 2], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[2, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[2, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[2, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[2, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[2, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}]}]}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[1, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[1, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[1, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[1, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[1, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}]}]}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 1]], [[1, 0], [2, 0], [2, 2], [3, 2]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [3, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 2], [3, 2], [3, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 2], [3, 2], [3, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 2], [3, 2], [3, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 2], [3, 2], [3, 1]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[2, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[2, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[2, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[2, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[2, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}]}]}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 2], [2, 2], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 2], [2, 2], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 1]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[1, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[1, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[1, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[1, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[1, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}]}]}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [3, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 2], [3, 2], [3, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 2], [3, 2], [3, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 2], [3, 2], [3, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 2], [3, 2], [3, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[2, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[2, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[2, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[2, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[2, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}]}]}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 2], [2, 2], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 2], [2, 2], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 1]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[1, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[1, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[1, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[1, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[1, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}]}]}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]}]}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 0]], [[1, 2], [2, 1], [2, 2]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 3], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 1], [0, 3]], [[1, 0], [3, 0]], [[2, 2]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [1, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 2], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 2], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 2], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [1, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}]}]}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]}]}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]}]}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 0], [0, 2], [1, 0], [1, 2]], [[2, 1]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 2], [2, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [2, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [4, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2], [4, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [2, 2], [4, 2]]}, {&#34;patt&#34;: 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[0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 2], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 2], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 2], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 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[[0, 0], [0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 2], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 2], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 2], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 0], [0, 2], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 0], [0, 2], [1, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2], [0, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 2]]}]}]}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [2, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [3, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [3, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [3, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 2, 3, 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[0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0], [1, 0]]}, 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&#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 1], [1, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}]}]}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]}]}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 0], [0, 2], [1, 0], [1, 2], [2, 2], [4, 2]], [[3, 1]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [2, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [3, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [3, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [3, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[0, 1], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[0, 1], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[0, 1], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[0, 1], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[1, 1], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 1], [1, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}]}]}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[0, 1], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[0, 1], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[0, 1], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[0, 1], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[1, 1], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 1], [1, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}]}]}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [2, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [3, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [3, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [3, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [3, 1], [3, 1]]}, 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0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}]}]}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 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2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [3, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[0, 1], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[0, 1], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 1], [1, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}]}]}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [3, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [3, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[0, 1], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[0, 1], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 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&#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}]}]}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.detect_components&#34;, &#34;strategy_class&#34;: &#34;DetectComponentsStrategy&#34;, &#34;ignore_parent&#34;: true, 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1], [1, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}]}]}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}]}]}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]}]}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}]}]}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}]}]}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}]}]}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}]}]}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}]}]}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}]}]}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 0]], [[1, 1], [2, 1]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}]}]}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}]}]}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 0], [0, 1]], [[1, 2], [2, 2]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}]}]}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}]}]}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, 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4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 1], [0, 2]], [[1, 0]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]}]}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}]}]}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]}]}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]}]}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}]}]}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]}]}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [3, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 2], [1, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 2], [3, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 0], [3, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 0], [4, 2], [4, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 0], [4, 2], [4, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[4, 0], [4, 2], [4, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[4, 2], [4, 2], [4, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [4, 0], [4, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [4, 2], [4, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[4, 2], [4, 0], [4, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[4, 2], [4, 2], [4, 0]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 2], [4, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [3, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [4, 2], [4, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [4, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 2], [4, 2], [4, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [4, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [4, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [3, 0], [4, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [4, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [4, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[4, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[4, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[4, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[4, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 0], [4, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2], [4, 0]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[0, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[4, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[0, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[4, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 2], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 2], [0, 2], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 2], [4, 2], [4, 2], 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{&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [4, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [4, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [4, 2], [4, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 2]]}]}]}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1], 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1], [0, 1], [0, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [3, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [3, 1], [3, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}]}]}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]}]}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 0], [0, 2], [1, 0], [3, 0], [4, 0], [4, 2]], [[2, 1]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [1, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [2, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 0], [3, 1], [3, 0]]}, 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1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [2, 1], [2, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}]}]}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 0], [3, 1], [3, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 0], [3, 1], [3, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 0], [3, 1], [3, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 1], [3, 1], [3, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 1], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 1], [3, 1], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [3, 1], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}]}]}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [1, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 1], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [2, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [2, 0]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [2, 1], [2, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}]}]}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [1, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [1, 0]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1], [1, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]}]}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 1], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}]}]}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 1], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}]}]}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 1], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}]}]}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.detect_components&#34;, &#34;strategy_class&#34;: &#34;DetectComponentsStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;inferrable&#34;: true, &#34;possibly_empty&#34;: true, &#34;workable&#34;: true}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 1], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}]}]}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 1], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}]}]}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.detect_components&#34;, &#34;strategy_class&#34;: &#34;DetectComponentsStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;inferrable&#34;: true, &#34;possibly_empty&#34;: true, &#34;workable&#34;: true}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]}]}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.assumption_insertion&#34;, &#34;strategy_class&#34;: &#34;AddAssumptionsStrategy&#34;, &#34;workable&#34;: false, &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]}]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]}]}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]}]}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]}]}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [4, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0], [4, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}]}]}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]}]}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]}]}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 2]], [[1, 0], [2, 0], [4, 0]], [[3, 1]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], 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{&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}]}]}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 2], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 2], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 2], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 2], [1, 1], [1, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 2], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 1]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [1, 2], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [1, 2], [1, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}]}]}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 1], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [1, 0], [1, 0], [3, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [1, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 3], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 3], [0, 3], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 3], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 3], [0, 3], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 3], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1], [0, 3], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 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[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 1], [0, 3], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 3], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 1], [0, 3], [1, 0], [3, 0]], [[2, 2]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, 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&#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 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{&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 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&#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}]}]}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 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{&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 2], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 2], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 2], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 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0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}]}]}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}]}]}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 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3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}]}]}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 2], [1, 0], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[1, 1], [1, 0], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 0], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [1, 0], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [1, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}]}]}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 2], [1, 0], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[1, 1], [1, 0], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 0], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [1, 0], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [1, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}]}]}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]}]}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 2], [1, 0], [1, 1], [2, 2]], [[3, 3]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 4], [3, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[4, 4], [4, 4], [4, 4]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[4, 4], [4, 4], [4, 4]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 2], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 2], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 2], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 4], [0, 4], [4, 4]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 4], [4, 4], [4, 4]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [4, 4]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 4], [0, 4], [4, 4], [4, 4]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 4], [0, 4], [4, 4]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 4], [4, 4], [4, 4]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [4, 4]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [4, 4], [4, 4]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 4], [0, 2], [0, 4], [0, 4]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 4], [0, 2], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 4], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 4], [0, 4], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 4], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 4], [0, 4], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 4], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 4], [0, 2], [0, 4], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 4], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 4], [0, 4], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 4], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 4], [0, 2], [0, 4], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 4], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 4], [0, 4], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 4], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 4], [0, 2], [0, 2], [0, 4], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 2], [0, 4], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 4]]}]}]}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}]}]}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 2], [0, 4], [3, 2], [4, 4]], [[1, 0], [1, 1]], [[2, 3]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [3, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[4, 3], [4, 3], [4, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[4, 3], [4, 3], [4, 3]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [4, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 3], [4, 3], [4, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [4, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [4, 3], [4, 3]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [4, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [4, 3], [4, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [4, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [4, 3], [4, 3]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 1], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 3], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 3], [0, 3], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 3], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 3], [0, 3], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 3], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1], [0, 3], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 3], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1], [0, 3], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 1], [0, 3], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 3], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 3]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 3]]}]}]}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [3, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [3, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}]}]}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 1], [0, 3], [1, 0], [3, 1], [4, 3]], [[2, 2]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}]}]}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}]}]}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}]}]}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [3, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [3, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}]}]}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}]}]}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [3, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [3, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}]}]}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}]}]}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}]}]}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]}]}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 1], [2, 1]], [[1, 0]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[4, 2], [4, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[4, 2], [4, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [3, 1]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 3], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 3], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 3], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 3], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 4], [0, 3], [0, 4], [0, 4]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 4], [0, 3], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 4], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 4], [0, 4], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 4], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 4], [0, 4], [0, 3]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 4], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 3], [0, 4], [0, 3], [0, 4], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 4], [0, 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4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 4], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 4], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 3], [0, 4], [0, 3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 4], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 4], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 2]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 2]]}]}]}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [3, 1]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 2], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 3], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 3], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}]}]}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]}]}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 3], [0, 4], [1, 1], [2, 0], [3, 1]], [[4, 2]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [3, 2]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 2], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 3], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 3], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}]}]}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [2, 1]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}]}]}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]}]}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 2], [0, 3], [1, 0], [3, 2]], [[2, 1]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [2, 1]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}]}]}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: 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&#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [2, 1]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}]}]}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [2, 1]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}]}]}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [2, 1]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}]}]}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [4, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[4, 2], [4, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [4, 2]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[0, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[0, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [2, 2], [2, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 2]]}]}]}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0], [1, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}]}]}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]}]}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 2], [2, 2], [4, 2]], [[1, 1]], [[3, 0]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0], [1, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}]}]}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0], [1, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}]}]}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 3], [1, 3], [4, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 3], [4, 3], [4, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[4, 2], [4, 3], [4, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[4, 3], [4, 3], [4, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[4, 3], [4, 3], [4, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 3], [1, 3], [4, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 3], [4, 3], [4, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[4, 3], [4, 2], [4, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[4, 3], [4, 3], [4, 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&#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[0, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [1, 3]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [1, 3]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [1, 3]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [1, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [1, 3]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [1, 3]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [1, 3]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [1, 3]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [1, 3], [1, 3]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 3]]}]}]}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 1], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1], [1, 1]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}]}]}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]}]}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 3], [1, 3], [4, 2], [4, 3]], [[2, 1]], [[3, 0]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[4, 1], [4, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 0], [3, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[4, 1], [4, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[0, 2], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[0, 2], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [1, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [1, 0], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [1, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [1, 0], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [2, 0], [2, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 1]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 1]]}]}]}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 0], [3, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[0, 1], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[0, 1], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [1, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [1, 0], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [1, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [1, 0], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [2, 0], [2, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}]}]}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]}]}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 2], [1, 0], [2, 0], [3, 0]], [[4, 1]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[0, 1], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[0, 2], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[0, 1], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[0, 2], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], 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&#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 1], [0, 2]], [[1, 0], [2, 0]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 1], [2, 3], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 3], [2, 3], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 3], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 3], [2, 3], [2, 1]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3], [2, 3]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}]}]}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]}]}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}]}]}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 2]], [[1, 0]], [[2, 1], [2, 3]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]}]}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]}]}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]}]}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, 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1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 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3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 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&#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 1]], [[1, 0], [2, 0]]]}}, {&#34;class_module&#34;: 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[[0, 0], [0, 0], [1, 0], [1, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}]}]}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}]}]}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}]}]}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}]}]}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}]}]}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}]}]}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}]}]}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [1, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 2], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 2], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 2], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 2], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 0], [0, 2], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}]}]}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]}]}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]}]}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 0], [0, 2], [1, 0], [1, 2]], [[2, 1]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 3], [1, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 3], [1, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 3], [1, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [1, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 3]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 3], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, 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3], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 1], [0, 3], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 0], [0, 3], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 3], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}]}]}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1, 2], 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[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 0], [0, 2], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}]}]}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]}]}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 0], [0, 1], [0, 3], [1, 3], [3, 3]], [[2, 2]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], 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1], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}]}]}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], 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[[0, 0], [0, 2], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 0], [0, 2], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}]}]}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.detect_components&#34;, &#34;strategy_class&#34;: &#34;DetectComponentsStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;inferrable&#34;: true, &#34;possibly_empty&#34;: true, &#34;workable&#34;: true}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}]}]}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}]}]}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}]}]}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]}]}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]}]}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]}]}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, 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{&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 3], [3, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 3], [3, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 3], [2, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 3], [3, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 3], [2, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 3], [3, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 3], [2, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 3], [3, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [2, 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0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}]}]}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 0], [0, 2], [0, 3], [2, 3], [3, 3], [4, 3]], [[1, 1]]]}}, {&#34;class_module&#34;: 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{&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 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[0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 0], [0, 2], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}]}]}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 2], [2, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [2, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [2, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [3, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2], [3, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [2, 2], [3, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [3, 0, 1, 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0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}]}]}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: true, 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&#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}]}]}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], 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[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 1], [0, 3], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 3], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 3]]}]}]}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [3, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [3, 2], [3, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [3, 2], [3, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 1], [3, 2], [3, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 2], [3, 2], [3, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 2], [3, 1], [3, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 2], [3, 2], [3, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [3, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [3, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}]}]}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 1], [0, 3], [1, 0], [3, 0], [4, 1], [4, 3]], [[2, 2]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [3, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 2]]}]}]}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}]}]}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]}]}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 1], [1, 0], [2, 0], [3, 1]], [[4, 2]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [3, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}]}]}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}]}]}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]}]}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 2], [1, 0], [3, 2]], [[2, 1]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 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3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], 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{&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]}]}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 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{&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 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[0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]}]}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}]}]}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}]}]}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}]}]}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}]}]}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}]}]}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.detect_components&#34;, &#34;strategy_class&#34;: &#34;DetectComponentsStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;inferrable&#34;: true, &#34;possibly_empty&#34;: true, &#34;workable&#34;: true}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [3, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [3, 2], [3, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [3, 2], [3, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 1], [3, 2], [3, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 2], [3, 2], [3, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 2], [3, 1], [3, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 2], [3, 2], [3, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [3, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [3, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}]}]}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [2, 2], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 1], [2, 2], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 2], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}]}]}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 2], [3, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [3, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [3, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [3, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}]}]}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [3, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [4, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [4, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [4, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [4, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 2]]}]}]}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [3, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 2]]}]}]}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [3, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [4, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [4, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [4, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [4, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 2]]}]}]}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [3, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [3, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}]}]}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [3, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}]}]}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [3, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [3, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}]}]}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}]}]}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}]}]}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}]}]}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}]}]}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]}]}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 0], [1, 0]], [[2, 1]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}]}]}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}]}]}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [3, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 2], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 2], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 0], [0, 2], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}]}]}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}]}]}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 0], [0, 2], [2, 0], [3, 2]], [[1, 1]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [2, 2], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 1], [2, 2], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 2], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}]}]}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]}]}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 1], [0, 2], [2, 1], [2, 2]], [[1, 0]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [3, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [4, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [4, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [4, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [4, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 2]]}]}]}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}]}]}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 1], [0, 2], [3, 1], [4, 2]], [[1, 0], [2, 0]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [3, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [3, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}]}]}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}]}]}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 1], [0, 2], [2, 1], [3, 2]], [[1, 0]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}]}]}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}]}]}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 1], [3, 1]], [[1, 0], [2, 0]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 3], [3, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[4, 1], [4, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 3], [3, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 3], [4, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[4, 1], [4, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 0], [2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 0], [2, 3], [3, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 3], [3, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 3], [4, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 3], [2, 3], [3, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 3], [2, 3], [5, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 3], [3, 3], [5, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 3], [5, 3], [5, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 3], [5, 3], [5, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 3], [5, 3], [5, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[4, 1], [5, 1], [5, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[4, 1], [5, 3], [5, 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3], [0, 3], [2, 3], [3, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [2, 3], [5, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [3, 3], [5, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [5, 3], [5, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 3], [5, 1], [5, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 3], [5, 3], [5, 1]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[0, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[0, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [2, 3]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [2, 3]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [2, 3]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [2, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [2, 3]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [2, 3]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [2, 3]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [2, 0], [2, 0], [2, 3], [2, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[2, 3], [2, 0], [2, 0], [2, 3], [2, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [2, 3]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [2, 0], [2, 3], [2, 0], [2, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[2, 3], [2, 0], [2, 3], [2, 0], [2, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 1]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 3]]}]}]}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [3, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [3, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 2], [1, 2], [2, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 2], [1, 2], [4, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 2], [2, 2], [4, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 2], [4, 2], [4, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 1], [4, 2], [4, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[4, 1], [4, 2], [4, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[4, 2], [4, 2], [4, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 2], [1, 2], [2, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 2], [1, 2], [4, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 2], [2, 2], [4, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 2], [4, 1], [4, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 2], [4, 2], [4, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[4, 2], [4, 1], [4, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[4, 2], [4, 2], [4, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [4, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2], [4, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [2, 2], [4, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 2], [4, 2], [4, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [4, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2], [2, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2], [4, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [2, 2], [4, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [4, 1], [4, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [4, 2], [4, 1]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[0, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[0, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [1, 0], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[1, 2], [1, 0], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [1, 0], [1, 2], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[1, 2], [1, 0], [1, 2], [1, 0], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 2]]}]}]}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 3], [2, 0], [2, 3], [3, 3], [4, 1], [5, 1], [5, 3]], [[1, 2]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 3], [2, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 3], [2, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 3], [2, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [2, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [0, 3]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 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{&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [3, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [2, 3], [3, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 0], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 0], [0, 2], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 0], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 0], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 2], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 3], [0, 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[[0, 0], [0, 3], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 3], [0, 0], [0, 2], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 3], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 3], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 0], [0, 2], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 0], [0, 0], [0, 2], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 0], [0, 0], [0, 3], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 0], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 0], [0, 3], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}]}]}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [1, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2], [2, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 0], [0, 1], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 2], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 2], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 2], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 2], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 2], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 0], [0, 2], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}]}]}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 0], [0, 2], [0, 3], [2, 3], [3, 3]], [[1, 1]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[6, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[6, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[6, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[6, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 4], [1, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 3], [3, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [5, 2]]}, 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0, 2, 3, 1], &#34;pos&#34;: [[0, 4], [0, 2], [0, 2], [0, 4], [1, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 4], [0, 2], [0, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 4], [0, 2], [0, 2], [1, 4], [1, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [1, 4]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 2], [0, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 2], [0, 4], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 2], [0, 4], [0, 2], [1, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 2], [0, 4], [1, 2], [1, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [1, 4]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[6, 4]]}]}]}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, 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1], [0, 0], [0, 0], [0, 1], [1, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}]}]}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]}]}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 2], [0, 4], [1, 2], [1, 4], [5, 2], [6, 4]], [[2, 0]], [[3, 3]], [[4, 1]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 1], [0, 2]], [[1, 0], [2, 0]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}]}]}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [1, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}]}]}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}]}]}], &#34;strategy&#34;: {&#34;class_module&#34;: 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{&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 1], [4, 2], [4, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[4, 1], [4, 2], [4, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[4, 2], [4, 2], [4, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 2], [1, 2], [2, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 2], [1, 2], [4, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 2], [2, 2], [4, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 2], [4, 1], [4, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 2], [4, 2], [4, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [2, 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[[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], 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0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [1, 0], [1, 2], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[1, 2], [1, 0], [1, 2], [1, 0], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 2]]}]}]}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 2], [1, 2], [3, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 1], [3, 2], [3, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 1], [3, 2], [3, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 2], [3, 2], [3, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 2], [1, 2], [3, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 2], [3, 1], [3, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 2], [3, 2], [3, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [3, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2], [3, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[0, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[0, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [1, 2], [1, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}]}]}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [2, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 2], [1, 2], [2, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 2], [1, 2], [3, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 2], [2, 2], [3, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 2], [3, 2], [3, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 2], [3, 2], [3, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 2], [1, 2], [2, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 2], [1, 2], [3, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 2], [2, 2], [3, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 2], [3, 2], [3, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 2], [3, 2], [3, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [2, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 2], [3, 2], [3, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [3, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2], [2, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2], [3, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [2, 2], [3, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [3, 2], [3, 1]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[0, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[0, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [1, 0], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[1, 2], [1, 0], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [1, 0], [1, 2], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[1, 2], [1, 0], [1, 2], [1, 0], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}]}]}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 2], [1, 2], [4, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 1], [4, 2], [4, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[4, 1], [4, 2], [4, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[4, 2], [4, 2], [4, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 2], [1, 2], [4, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[4, 2], [4, 1], [4, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[4, 2], [4, 2], [4, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [4, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2], [4, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [4, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2], [4, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[0, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[0, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [1, 2], [1, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 2]]}]}]}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [3, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 0], [3, 1], [3, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 0], [3, 1], [3, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 1], [3, 1], [3, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [3, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 1], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 1], [3, 1], [3, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [3, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [3, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1], [1, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}]}]}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 2], [1, 2], [3, 1], [4, 1], [4, 2]], [[2, 0]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [3, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [3, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}]}]}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [2, 1]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}]}]}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [3, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [3, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}]}]}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}]}]}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}]}]}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]}]}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 1], [2, 1]], [[1, 0]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 0], [3, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}]}]}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}]}]}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 1], [0, 2]], [[1, 0], [2, 0], [3, 0]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 0], [3, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}]}]}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}]}]}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 1]], [[1, 0], [2, 0], [3, 0]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [3, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[4, 3], [4, 3], [4, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[4, 3], [4, 3], [4, 3]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [4, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 3], [4, 3], [4, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [4, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [4, 3], [4, 3]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 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4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 3]]}]}]}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [3, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [3, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}]}]}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]}]}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 2], [0, 3], [1, 0], [3, 2], [4, 3]], [[2, 1]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]}]}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}]}]}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]}]}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]}]}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}]}]}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.detect_components&#34;, &#34;strategy_class&#34;: &#34;DetectComponentsStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;inferrable&#34;: true, &#34;possibly_empty&#34;: true, &#34;workable&#34;: true}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 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{&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 2], [3, 3], [3, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 3], [3, 3], [3, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 3], [3, 2], [3, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 3], [3, 3], [3, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 2], [3, 3], [3, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [3, 3], [3, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [3, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 2], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 2], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 0], [0, 2], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}]}]}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 1], [2, 2], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 2], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [2, 2], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [2, 2], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}]}]}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 0], [0, 2], [2, 0], [3, 2], [3, 3]], [[1, 1]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 2], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 2], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 1]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}]}]}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}]}]}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 0]], [[1, 1], [1, 2]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 2], [3, 3], [3, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 3], [3, 3], [3, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 3], [3, 2], [3, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 3], [3, 3], [3, 2]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 2], [3, 3], [3, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [3, 3], [3, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [3, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [3, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 2], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 2], [0, 2], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 2], [0, 2], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 2], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 2], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 2], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 0], [0, 2], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}]}]}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 1], [2, 2], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 2], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 1]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [2, 2], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [2, 2], [2, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}]}]}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 0], [0, 2], [2, 0], [3, 2], [3, 3]], [[1, 1]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 1], [2, 2], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 2], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 1]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [2, 2], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [2, 2], [2, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}]}]}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 1], [2, 2], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 2], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [2, 2], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}]}]}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 1], [2, 2], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 2], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 1]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [2, 2], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [2, 2], [2, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}]}]}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 1], [2, 2], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 2], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [2, 2], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}]}]}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]}]}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]}]}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 1], [2, 1], [2, 2]], [[1, 0]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 2], [3, 3], [3, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 3], [3, 3], [3, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 3], [3, 2], [3, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 3], [3, 3], [3, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [3, 3], [3, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [3, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}]}]}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 1], [2, 2], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 2], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [2, 2], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}]}]}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]}]}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 2], [1, 0], [3, 2], [3, 3]], [[2, 1]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 1], [3, 3], [3, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 3], [3, 3], [3, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 3], [3, 1], [3, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 3], [3, 3], [3, 1]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}]}]}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}]}]}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}]}]}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 0], [2, 0]], [[1, 2]], [[3, 1], [3, 3]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [3, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[4, 3], [4, 3], [4, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[4, 3], [4, 4], [4, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[4, 4], [4, 4], [4, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[4, 3], [4, 3], [4, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[4, 4], [4, 3], [4, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[4, 4], [4, 4], [4, 3]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [4, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 3], [4, 3], [4, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 3], [4, 4], [4, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [4, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [4, 3], [4, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [4, 4], [4, 3]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [4, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [4, 3], [4, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [4, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [4, 3], [4, 3]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[4, 4], [4, 4], [4, 4], [4, 4]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[4, 4], [4, 4], [4, 4], [4, 4]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[4, 4], [4, 4], [4, 4], [4, 4]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[4, 4], [4, 4], [4, 4], [4, 4]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 2], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[4, 4], [4, 4], [4, 4], [4, 4]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[4, 4], [4, 4], [4, 4], [4, 4]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 3], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 3], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 4]]}]}]}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 2], [3, 3], [3, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 3], [3, 3], [3, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 3], [3, 2], [3, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 3], [3, 3], [3, 2]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [3, 3], [3, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [3, 3], [3, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [3, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [3, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}]}]}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]}]}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 2], [0, 3], [1, 0], [3, 2], [4, 3], [4, 4]], [[2, 1]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 2], [3, 3], [3, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 3], [3, 3], [3, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 3], [3, 2], [3, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 3], [3, 3], [3, 2]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [3, 3], [3, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [3, 3], [3, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [3, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [3, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 2], [0, 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[0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}]}]}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 2], [3, 3], [3, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 3], [3, 3], [3, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 3], [3, 2], [3, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 3], [3, 3], [3, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [3, 3], [3, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [3, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}]}]}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 2], [3, 3], [3, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 3], [3, 3], [3, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 3], [3, 2], [3, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 3], [3, 3], [3, 2]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [3, 3], [3, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [3, 3], [3, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [3, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [3, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}]}]}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 2], [3, 3], [3, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 3], [3, 3], [3, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 3], [3, 2], [3, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 3], [3, 3], [3, 2]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [3, 3], [3, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [3, 3], [3, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [3, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [3, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}]}]}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 1], [2, 2], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 2], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 1]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [2, 2], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [2, 2], [2, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}]}]}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 1], [0, 2], [2, 1], [3, 2], [3, 3]], [[1, 0]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}]}]}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]}]}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 0], [0, 1]], [[1, 2]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[6, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[6, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[6, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [2, 5]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [3, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 5], [2, 5]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 4], [3, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[4, 2], [4, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 5], [2, 5]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 5], [3, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 5], [5, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 4], [3, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 4], [5, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[4, 2], [4, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[5, 0], [5, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [6, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 4], [6, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 3], [2, 5], [6, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 3], [3, 4], [6, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 3], [6, 3], [6, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 3], [6, 4], [6, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 3], [6, 5], [6, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [6, 3], [6, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [6, 4], [6, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [6, 5], [6, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 5], [6, 5], [6, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 5], [6, 5], [6, 4]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 4], [6, 4], [6, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 4], [6, 4], [6, 4]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 4], [6, 5], [6, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 4], [6, 5], [6, 4]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[6, 3], [6, 3], [6, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[6, 3], [6, 4], [6, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[6, 3], [6, 5], [6, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[6, 4], [6, 4], [6, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[6, 4], [6, 4], [6, 4]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[6, 4], [6, 5], [6, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[6, 4], [6, 5], [6, 4]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[6, 5], [6, 5], [6, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[6, 5], [6, 5], [6, 4]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 5], [6, 3], [6, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 5], [6, 4], [6, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 5], [6, 4], [6, 4]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 5], [6, 5], [6, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 5], [6, 5], [6, 4]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 4], [6, 3], [6, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 4], [6, 4], [6, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 4], [6, 4], [6, 4]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[6, 3], [6, 3], [6, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[6, 4], [6, 3], [6, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[6, 4], [6, 4], [6, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[6, 4], [6, 4], [6, 4]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[6, 5], [6, 3], [6, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[6, 5], [6, 4], [6, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[6, 5], [6, 4], [6, 4]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[6, 5], [6, 5], [6, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[6, 5], [6, 5], [6, 4]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 3], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 3], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 3], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 4], [0, 4], [3, 4]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 4], [0, 4], [6, 4]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 4], [2, 5], [6, 4]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 4], [3, 4], [6, 4]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 4], [6, 4], [6, 4]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 4], [6, 5], [6, 4]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [3, 4]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [6, 4]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 4], [0, 4], [2, 5], [6, 4]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 4], [0, 4], [3, 4], [6, 4]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 4], [0, 4], [6, 4], [6, 4]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 4], [0, 4], [6, 5], [6, 4]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 3], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 4], [0, 4], [3, 4]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 4], [0, 4], [6, 4]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 4], [3, 4], [6, 4]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 4], [6, 4], [6, 4]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [3, 4]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [6, 4]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [3, 4], [6, 4]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [6, 4], [6, 4]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[2, 5], [6, 5], [6, 5], [6, 5]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[6, 5], [6, 5], [6, 5], [6, 5]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[2, 5], [6, 5], [6, 5], [6, 5]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[6, 5], [6, 5], [6, 5], [6, 5]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[2, 5], [6, 5], [6, 5], [6, 5]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[6, 5], [6, 5], [6, 5], [6, 5]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 5], [6, 5], [6, 5], [6, 5]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[6, 5], [6, 5], [6, 5], [6, 5]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 4], [0, 3], [0, 4], [0, 4]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 4], [0, 3], [0, 4], [0, 4]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[2, 5], [6, 5], [6, 5], [6, 5]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[6, 5], [6, 5], [6, 5], [6, 5]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[2, 5], [6, 5], [6, 5], [6, 5]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[6, 5], [6, 5], [6, 5], [6, 5]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 4], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 4], [0, 4], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 4], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 4], [0, 4], [0, 3]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 4], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 3], [0, 4], [0, 3], [0, 4], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 4], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 4], [0, 4], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 4], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 4], [0, 3], [0, 4], [0, 3]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 4], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 4], [0, 4], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 4], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 4], [0, 3], [0, 3], [0, 4], [0, 3]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 4], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 3], [0, 4], [0, 3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 4], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 2]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[6, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[6, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[6, 5]]}]}]}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [2, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [3, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 4], [2, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 3], [3, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 4], [2, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 4], [3, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 4], [4, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 3], [3, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 3], [4, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [5, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [5, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [2, 4], [5, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [3, 3], [5, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [5, 2], [5, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [5, 3], [5, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [5, 4], [5, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [5, 2], [5, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [5, 3], [5, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [5, 4], [5, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 4], [5, 4], [5, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 4], [5, 4], [5, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 3], [5, 3], [5, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 3], [5, 3], [5, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 3], [5, 4], [5, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 3], [5, 4], [5, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[5, 2], [5, 2], [5, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[5, 2], [5, 3], [5, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[5, 2], [5, 4], [5, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[5, 3], [5, 3], [5, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[5, 3], [5, 3], [5, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[5, 3], [5, 4], [5, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[5, 3], [5, 4], [5, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[5, 4], [5, 4], [5, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[5, 4], [5, 4], [5, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 4], [5, 2], [5, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 4], [5, 3], [5, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 4], [5, 3], [5, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 4], [5, 4], [5, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 4], [5, 4], [5, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 3], [5, 2], [5, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 3], [5, 3], [5, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 3], [5, 3], [5, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[5, 2], [5, 2], [5, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[5, 3], [5, 2], [5, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[5, 3], [5, 3], [5, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[5, 3], [5, 3], [5, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[5, 4], [5, 2], [5, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[5, 4], [5, 3], [5, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[5, 4], [5, 3], [5, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[5, 4], [5, 4], [5, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[5, 4], [5, 4], [5, 3]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [3, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [5, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 3], [2, 4], [5, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 3], [3, 3], [5, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 3], [5, 3], [5, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 3], [5, 4], [5, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [3, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [5, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [2, 4], [5, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [3, 3], [5, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [5, 3], [5, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [5, 4], [5, 3]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [3, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [5, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [3, 3], [5, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [5, 3], [5, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [3, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [5, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [3, 3], [5, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [5, 3], [5, 3]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[2, 4], [5, 4], [5, 4], [5, 4]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[5, 4], [5, 4], [5, 4], [5, 4]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[2, 4], [5, 4], [5, 4], [5, 4]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[5, 4], [5, 4], [5, 4], [5, 4]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[2, 4], [5, 4], [5, 4], [5, 4]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[5, 4], [5, 4], [5, 4], [5, 4]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 4], [5, 4], [5, 4], [5, 4]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[5, 4], [5, 4], [5, 4], [5, 4]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 2], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[2, 4], [5, 4], [5, 4], [5, 4]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[5, 4], [5, 4], [5, 4], [5, 4]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[2, 4], [5, 4], [5, 4], [5, 4]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[5, 4], [5, 4], [5, 4], [5, 4]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 3], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 3], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 4]]}]}]}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]}]}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 3], [0, 4], [1, 1], [2, 5], [3, 4], [5, 0], [6, 3], [6, 4], [6, 5]], [[4, 2]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [2, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [3, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 4], [2, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 3], [3, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 4], [2, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 4], [3, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 4], [4, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 3], [3, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 3], [4, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [5, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [5, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [2, 4], [5, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [3, 3], [5, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [5, 2], [5, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [5, 3], [5, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [5, 4], [5, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [5, 2], [5, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [5, 3], [5, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [5, 4], [5, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 4], [5, 4], [5, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 4], [5, 4], [5, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 3], [5, 3], [5, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 3], [5, 3], [5, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 3], [5, 4], [5, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 3], [5, 4], [5, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[5, 2], [5, 2], [5, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[5, 2], [5, 3], [5, 2]]}, {&#34;patt&#34;: [1, 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&#34;pos&#34;: [[0, 3], [0, 2], [0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 4]]}]}]}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [2, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 3], [3, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [4, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [4, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [2, 3], [4, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [4, 3], [4, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [4, 4], [4, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [4, 2], [4, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [4, 3], [4, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [4, 4], [4, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 3], [4, 3], [4, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 3], [4, 3], [4, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 3], [4, 4], [4, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 3], [4, 4], [4, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[4, 2], [4, 3], [4, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[4, 2], [4, 4], [4, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[4, 3], [4, 3], [4, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[4, 3], [4, 3], [4, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[4, 3], [4, 4], [4, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[4, 3], [4, 4], [4, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[4, 4], [4, 4], [4, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[4, 4], [4, 4], [4, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 3], [4, 2], [4, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 3], [4, 3], [4, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 3], [4, 3], [4, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[4, 3], [4, 2], [4, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[4, 3], [4, 3], [4, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[4, 3], [4, 3], [4, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[4, 4], [4, 2], [4, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[4, 4], [4, 3], [4, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[4, 4], [4, 3], [4, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[4, 4], [4, 4], [4, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[4, 4], [4, 4], [4, 3]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [2, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [4, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 3], [2, 3], [4, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 3], [4, 3], [4, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 3], [4, 4], [4, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [2, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], 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[0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [4, 3], [4, 3]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[4, 4], [4, 4], [4, 4], [4, 4]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[4, 4], [4, 4], [4, 4], [4, 4]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[4, 4], [4, 4], [4, 4], [4, 4]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[4, 4], [4, 4], [4, 4], [4, 4]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 2], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[4, 4], [4, 4], [4, 4], [4, 4]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[4, 4], [4, 4], [4, 4], [4, 4]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 3], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 3], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 4]]}]}]}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 1], [2, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 2], [2, 2], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 2], [2, 2], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 2], [2, 2], [2, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 2], [2, 2], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 1]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[1, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[1, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[1, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[1, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[1, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}]}]}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [2, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 3], [3, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [4, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [4, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [2, 3], [4, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [4, 3], [4, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [4, 4], [4, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [4, 2], [4, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [4, 3], [4, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [4, 4], [4, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 3], [4, 3], [4, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 3], [4, 3], [4, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 3], [4, 4], [4, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 3], [4, 4], [4, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[4, 2], [4, 3], [4, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[4, 2], [4, 4], [4, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[4, 3], [4, 3], [4, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[4, 3], [4, 3], [4, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[4, 3], [4, 4], [4, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[4, 3], [4, 4], [4, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[4, 4], [4, 4], [4, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[4, 4], [4, 4], [4, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 3], [4, 2], [4, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 3], [4, 3], [4, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 3], [4, 3], [4, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[4, 3], [4, 2], [4, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[4, 3], [4, 3], [4, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[4, 3], [4, 3], [4, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[4, 4], [4, 2], [4, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[4, 4], [4, 3], [4, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[4, 4], [4, 3], [4, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[4, 4], [4, 4], [4, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[4, 4], [4, 4], [4, 3]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [2, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [4, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 3], [2, 3], [4, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 3], [4, 3], [4, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 3], [4, 4], [4, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [2, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [4, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [2, 3], [4, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [4, 3], [4, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [4, 4], [4, 3]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [2, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [4, 3]]}, {&#34;patt&#34;: [0, 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0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 4]]}]}]}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [3, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [3, 3], [3, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [3, 4], [3, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [3, 3], [3, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [3, 4], [3, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 2], [3, 3], [3, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 2], [3, 4], [3, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 3], [3, 3], [3, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 3], [3, 4], [3, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 3], [3, 4], [3, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 4], [3, 4], [3, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 4], [3, 4], [3, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 3], [3, 2], [3, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 3], [3, 3], [3, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 4], [3, 2], [3, 2]]}, {&#34;patt&#34;: [2, 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{&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [3, 4], [3, 3]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [3, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [3, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[3, 4], [3, 4], [3, 4], [3, 4]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[3, 4], [3, 4], [3, 4], [3, 4]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[3, 4], [3, 4], [3, 4], [3, 4]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[3, 4], [3, 4], [3, 4], [3, 4]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 2], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[3, 4], [3, 4], [3, 4], [3, 4]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[3, 4], [3, 4], [3, 4], [3, 4]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 3], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 3], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 4]]}]}]}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [2, 2], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 1], [2, 2], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 2], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 1]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [2, 2], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [2, 2], [2, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}]}]}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 3], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 2], [2, 2], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 2], [2, 3], [2, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 2], [2, 3], [2, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 3], [2, 3], [2, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 2], [2, 2], [2, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 3], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 3], [2, 3], [2, 2]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [1, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [2, 3], [2, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [2, 3], [2, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [1, 2], [2, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2], [2, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}]}]}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 3], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 2], [2, 2], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 2], [2, 3], [2, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 2], [2, 3], [2, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 3], [2, 3], [2, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 2], [2, 2], [2, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 3], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 3], [2, 3], [2, 2]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [1, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [2, 3], [2, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [2, 3], [2, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [1, 2], [2, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2], [2, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}]}]}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.detect_components&#34;, &#34;strategy_class&#34;: &#34;DetectComponentsStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;inferrable&#34;: true, &#34;possibly_empty&#34;: true, &#34;workable&#34;: true}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [3, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [3, 3], [3, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [3, 4], [3, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [3, 3], [3, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [3, 4], [3, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 2], [3, 3], [3, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 2], [3, 4], [3, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 3], [3, 3], [3, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 3], [3, 4], [3, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 3], [3, 4], [3, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 4], [3, 4], [3, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 4], [3, 4], [3, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 3], [3, 2], [3, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 3], [3, 3], [3, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 4], [3, 2], [3, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 4], [3, 3], [3, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 4], [3, 3], [3, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 4], [3, 4], [3, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 4], [3, 4], [3, 3]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [3, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 3], [3, 4], [3, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [3, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [3, 4], [3, 3]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [3, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [3, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[3, 4], [3, 4], [3, 4], [3, 4]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[3, 4], [3, 4], [3, 4], [3, 4]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[3, 4], [3, 4], [3, 4], [3, 4]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[3, 4], [3, 4], [3, 4], [3, 4]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 2], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[3, 4], [3, 4], [3, 4], [3, 4]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[3, 4], [3, 4], [3, 4], [3, 4]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 3], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 3], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 4]]}]}]}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [2, 2], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [2, 3], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 2], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 3], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 1], [2, 2], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 1], [2, 3], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 2], [2, 3], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 2], [2, 3], [2, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 3], [2, 3], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 3], [2, 3], [2, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 2], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 3], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 3], [2, 2], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 3], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 3], [2, 3], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 3], [2, 3], [2, 2]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [2, 3], [2, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [2, 3], [2, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}]}]}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]}]}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 2], [0, 3], [1, 1], [3, 2], [3, 3], [3, 4]], [[2, 0]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [2, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 3], [2, 3], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 3], [2, 3], [2, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 3], [2, 3], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 3], [2, 3], [2, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 3], [2, 3], [2, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 3], [2, 3], [2, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 3], [2, 3], [2, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 3], [2, 3], [2, 2]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[1, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[1, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[1, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[1, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[1, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}]}]}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [2, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 3], [2, 3], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 3], [2, 3], [2, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 3], [2, 3], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 3], [2, 3], [2, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 3], [2, 3], [2, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 3], [2, 3], [2, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 3], [2, 3], [2, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 3], [2, 3], [2, 2]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[1, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[1, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[1, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[1, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[1, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}]}]}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.detect_components&#34;, &#34;strategy_class&#34;: &#34;DetectComponentsStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;inferrable&#34;: true, &#34;possibly_empty&#34;: true, &#34;workable&#34;: true}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 0], [3, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[4, 1], [4, 3], [4, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[4, 3], [4, 3], [4, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[4, 3], [4, 1], [4, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[4, 3], [4, 3], [4, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[4, 3], [4, 3], [4, 3], [4, 3]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[4, 3], [4, 3], [4, 3], [4, 3]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[4, 3], [4, 3], [4, 3], [4, 3]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[4, 3], [4, 3], [4, 3], [4, 3]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[4, 3], [4, 3], [4, 3], [4, 3]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[4, 3], [4, 3], [4, 3], [4, 3]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 3]]}]}]}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}]}]}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}]}]}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 0], [1, 0], [3, 0]], [[2, 2]], [[4, 1], [4, 3]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 2], [1, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [1, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [1, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 0], [1, 3], [1, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 2], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 3], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 2], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 3], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[1, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[1, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[1, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[1, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[1, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 2], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 2], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 0], [0, 2], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}]}]}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 2], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[1, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[1, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[1, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[1, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[1, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}]}]}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]}]}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 0], [0, 2], [1, 0], [1, 2], [1, 3], [3, 3]], [[2, 1]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 2], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[1, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[1, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[1, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[1, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[1, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}]}]}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}]}]}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 2], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[1, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[1, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[1, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[1, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[1, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}]}]}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}]}]}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]}]}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]}]}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 0], [0, 1], [1, 0], [1, 1]], [[2, 2]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 0], [3, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[4, 1], [4, 3], [4, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[4, 3], [4, 3], [4, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[4, 3], [4, 1], [4, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[4, 3], [4, 3], [4, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[4, 3], [4, 3], [4, 3], [4, 3]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[4, 3], [4, 3], [4, 3], [4, 3]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[4, 3], [4, 3], [4, 3], [4, 3]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[4, 3], [4, 3], [4, 3], [4, 3]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[4, 3], [4, 3], [4, 3], [4, 3]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[4, 3], [4, 3], [4, 3], [4, 3]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 3]]}]}]}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}]}]}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}]}]}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 0], [1, 0], [3, 0]], [[2, 2]], [[4, 1], [4, 3]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 2], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 2], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 1]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [1, 2], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [1, 2], [1, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}]}]}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}]}]}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 2], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 2], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 1]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [1, 2], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [1, 2], [1, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}]}]}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 2], [1, 0], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[1, 1], [1, 0], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 0], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [1, 0], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [1, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}]}]}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}]}]}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}]}]}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 0], [3, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[0, 1], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[0, 1], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [1, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [1, 0], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [1, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [1, 0], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [2, 0], [2, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}]}]}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0], [1, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}]}]}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 0], [3, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}]}]}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}]}]}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]}]}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 0], [0, 1]], [[1, 2]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}]}]}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}]}]}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 2], [2, 2]], [[1, 0], [1, 1]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[4, 1], [4, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 0], [3, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[4, 1], [4, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 1]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 1]]}]}]}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}]}]}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]}]}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 2]], [[1, 0], [2, 0], [3, 0]], [[4, 1]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [3, 1]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 2], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 3], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 3], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}]}]}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 2], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 3], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 3], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}]}]}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [3, 1]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 2], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 3], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 3], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}]}]}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 2], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 3], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 3], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}]}]}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]}]}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 2], [0, 3], [1, 0]], [[2, 1]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [3, 1]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 2], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 3], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 3], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}]}]}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}]}]}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 2], [0, 3], [1, 1], [3, 1]], [[2, 0]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 2], [5, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[4, 0], [4, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[5, 2], [5, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 2], [1, 2], [5, 2]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 3], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 3], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 3], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 3], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 4], [0, 3], [0, 4], [0, 4]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 4], [0, 3], [0, 4], [0, 4]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[0, 3], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[0, 4], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[1, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[0, 3], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[0, 4], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[1, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 4], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 4], [0, 4], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[1, 2], [1, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 4], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 4], [0, 4], [0, 3]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[1, 2], [1, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 4], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 3], [0, 4], [0, 3], [0, 4], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2], [3, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[1, 2], [1, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 4], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 4], [0, 4], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2], [3, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 2], [1, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 4], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 4], [0, 3], [0, 4], [0, 3]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2], [3, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 4], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 4], [0, 4], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2], [3, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [1, 2], [1, 2], [1, 2], [3, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [1, 2], [1, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 4], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 4], [0, 3], [0, 3], [0, 4], [0, 3]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 4], [1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 4], [1, 2], [1, 2], [1, 2], [3, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 4], [1, 2], [1, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2], [3, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [1, 2], [1, 2], [1, 2], [3, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [1, 2], [1, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 3], [0, 4], [0, 3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 4], [1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 4], [1, 2], [1, 2], [1, 2], [3, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 4], [1, 2], [1, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2], [3, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [3, 2], [3, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 2]]}]}]}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 0], [3, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [3, 0]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[0, 1], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[0, 2], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[1, 0], [2, 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0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [2, 0], [2, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}]}]}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]}]}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 3], [0, 4], [1, 2], [3, 2], [5, 2]], [[2, 1]], [[4, 0]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 0], [3, 0]]}, {&#34;patt&#34;: [1, 0], 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{&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [1, 0], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [2, 0], [2, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}]}]}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 0], [3, 0]]}, 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&#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [1, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [1, 0], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [1, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [1, 0], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [2, 0], [2, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}]}]}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 0], [3, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}]}]}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 0], [5, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[4, 1], [4, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[4, 1], [4, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [5, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [5, 0], [5, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[5, 0], [5, 0], [5, 0], [5, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[5, 0], [5, 0], [5, 0], [5, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 1]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}]}]}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]}]}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 2], [1, 2]], [[2, 0], [3, 0], [5, 0]], [[4, 1]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}]}]}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}]}]}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [4, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 3], [3, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 0], [4, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 1], [4, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 3], [3, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[4, 0], [4, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[5, 2], [5, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [4, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 1], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 2]]}]}]}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [3, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 0], [3, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 1], [3, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 1], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}]}]}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]}]}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]}]}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 0], [1, 0], [2, 0], [2, 1], [4, 0]], [[3, 3]], [[5, 2]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 0], [4, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [4, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 3], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 0]]}]}]}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}]}]}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 1], [0, 3]], [[1, 0], [2, 0], [4, 0]], [[3, 2]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[4, 1], [4, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 0], [3, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[4, 1], [4, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 1]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 1]]}]}]}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 0], [3, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}]}]}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]}]}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 2], [1, 0], [2, 0], [3, 0]], [[4, 1]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 0], [3, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}]}]}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}]}]}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 0], [3, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}]}]}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 0], [3, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}]}]}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}]}]}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 1]], [[1, 0], [2, 0], [3, 0]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}]}]}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}]}]}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}]}]}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [3, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 3], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[3, 0], [3, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [4, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [4, 0], [4, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 0]]}]}]}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}]}]}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 1], [0, 3]], [[1, 0], [3, 0], [4, 0]], [[2, 2]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 1], [2, 2], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 2], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [2, 2], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}]}]}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]}]}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 1], [2, 2], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 2], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [2, 2], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}]}]}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}]}]}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]}]}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}]}]}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 1], [2, 2], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 2], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [2, 2], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}]}]}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 2], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 2], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 1]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}]}]}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 1], [2, 2], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 2], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [2, 2], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}]}]}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}]}]}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}]}]}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}]}]}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}]}]}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]}]}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}]}]}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [4, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 4], [4, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 3], [4, 3], [4, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 3], [4, 4], [4, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 3], [4, 5], [4, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [4, 3], [4, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [4, 4], [4, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [4, 5], [4, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[4, 3], [4, 3], [4, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[4, 3], [4, 4], [4, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[4, 3], [4, 5], [4, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[4, 4], [4, 4], [4, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[4, 4], [4, 4], [4, 4]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[4, 4], [4, 5], [4, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[4, 4], [4, 5], [4, 4]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[4, 5], [4, 5], [4, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[4, 5], [4, 5], [4, 4]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[4, 3], [4, 3], [4, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[4, 4], [4, 3], [4, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[4, 4], [4, 4], [4, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[4, 4], [4, 4], [4, 4]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[4, 5], [4, 3], [4, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[4, 5], [4, 4], [4, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[4, 5], [4, 4], [4, 4]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[4, 5], [4, 5], [4, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[4, 5], [4, 5], [4, 4]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 3], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 3], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 3], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 4], [0, 4], [4, 4]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 4], [4, 4], [4, 4]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 4], [4, 5], [4, 4]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [4, 4]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 4], [0, 4], [4, 4], [4, 4]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 4], [0, 4], [4, 5], [4, 4]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 3], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 4], [0, 4], [4, 4]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 4], [4, 4], [4, 4]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [4, 4]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [4, 4], [4, 4]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[4, 5], [4, 5], [4, 5], [4, 5]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[4, 5], [4, 5], [4, 5], [4, 5]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[4, 5], [4, 5], [4, 5], [4, 5]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[4, 5], [4, 5], [4, 5], [4, 5]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 4], [0, 3], [0, 4], [0, 4]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 4], [0, 3], [0, 4], [0, 4]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[4, 5], [4, 5], [4, 5], [4, 5]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[4, 5], [4, 5], [4, 5], [4, 5]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 4], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 4], [0, 4], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 4], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 4], [0, 4], [0, 3]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 4], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 3], [0, 4], [0, 3], [0, 4], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 4], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 4], [0, 4], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 4], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 4], [0, 3], [0, 4], [0, 3]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 4], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 4], [0, 4], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 4], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 4], [0, 3], [0, 3], [0, 4], [0, 3]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 4], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 3], [0, 4], [0, 3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 4], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 5]]}]}]}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [2, 2], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [2, 3], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 2], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 3], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 1], [2, 2], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 1], [2, 3], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 2], [2, 3], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 2], [2, 3], [2, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 3], [2, 3], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 3], [2, 3], [2, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 2], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 3], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 3], [2, 2], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 3], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 3], [2, 3], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 3], [2, 3], [2, 2]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [2, 3], [2, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [2, 3], [2, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 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1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}]}]}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]}]}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 3], [0, 4], [1, 1], [4, 3], [4, 4], [4, 5]], [[2, 2]], [[3, 0]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0, 2, 1], 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2], [2, 3], [2, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 3], [2, 3], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 3], [2, 3], [2, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 2], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 3], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 3], [2, 2], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 3], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 3], [2, 3], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 3], [2, 3], [2, 2]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [2, 3], [2, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [2, 3], [2, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [2, 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2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}]}]}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 2], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 2], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 2], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 2], [1, 1], [1, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 2], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 1]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [1, 2], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [1, 2], [1, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 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{&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}]}]}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 3], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 2], [2, 3], [2, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 3], [2, 3], [2, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 3], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 3], [2, 3], [2, 2]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [2, 3], [2, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [2, 3], [2, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}]}]}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 2], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 2], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 1]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [1, 2], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [1, 2], [1, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}]}]}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}]}]}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 2], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 2], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 1]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [1, 2], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [1, 2], [1, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}]}]}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 1], [2, 2], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 2], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [2, 2], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}]}]}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]}]}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 1], [2, 1], [2, 2]], [[1, 0]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}]}]}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]}]}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 1], [0, 2], [2, 2]], [[1, 0]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}]}]}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}]}]}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 1], [2, 1]], [[1, 0]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 2], [3, 3], [3, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 3], [3, 3], [3, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 3], [3, 2], [3, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 3], [3, 3], [3, 2]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [3, 3], [3, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [3, 3], [3, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [3, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [3, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}]}]}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 2], [3, 3], [3, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 3], [3, 3], [3, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 3], [3, 2], [3, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 3], [3, 3], [3, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [3, 3], [3, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [3, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}]}]}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 2], [3, 3], [3, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 3], [3, 3], [3, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 3], [3, 2], [3, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 3], [3, 3], [3, 2]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [3, 3], [3, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [3, 3], [3, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [3, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [3, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}]}]}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 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&#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 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{&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, 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{&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]}]}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 0], [0, 1]], [[1, 2]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 2], [3, 3], [3, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 3], [3, 3], [3, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 3], [3, 2], [3, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 3], [3, 3], [3, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [3, 3], [3, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [3, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}]}]}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 1], [2, 2], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 2], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [2, 2], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}]}]}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]}]}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 2], [1, 0], [3, 2], [3, 3]], [[2, 1]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 2], [3, 3], [3, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 3], [3, 3], [3, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 3], [3, 2], [3, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 3], [3, 3], [3, 2]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [3, 3], [3, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [3, 3], [3, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [3, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [3, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}]}]}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 1], [2, 2], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 2], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 1]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [2, 2], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [2, 2], [2, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}]}]}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 1], [0, 2], [2, 1], [3, 2], [3, 3]], [[1, 0]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 1], [2, 2], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 2], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 1]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [2, 2], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [2, 2], [2, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}]}]}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 2], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 2], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 1]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [1, 2], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [1, 2], [1, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}]}]}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 1], [2, 2], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 2], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 1]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [2, 2], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [2, 2], [2, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}]}]}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}]}]}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]}]}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}]}]}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [3, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [3, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}]}]}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}]}]}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [3, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [3, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}]}]}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 2], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}]}]}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]}]}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}]}]}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 1]], [[1, 0], [1, 2]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}]}]}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]}]}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [0, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}]}]}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 1]], [[1, 0], [1, 2]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [0, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}]}]}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]}]}, 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0]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}]}]}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}]}]}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [], &#34;pos&#34;: []}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [3, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [2, 1], [3, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 1], [2, 1], [3, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [3, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [2, 1], [3, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 1], [2, 1], [3, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}]}]}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}]}]}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_placement&#34;, &#34;strategy_class&#34;: &#34;RequirementPlacementStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}], &#34;indices&#34;: [0, 0], &#34;direction&#34;: 3, &#34;own_col&#34;: true, &#34;own_row&#34;: true, &#34;include_empty&#34;: true}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [3, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [2, 1], [3, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 1], [2, 1], [3, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [3, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [2, 1], [3, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 1], [2, 1], [3, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}]}]}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}]}]}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]}]}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 1], [2, 1], [3, 1]], [[1, 0]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}]}]}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [1, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}]}]}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]}]}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 1], [1, 1], [3, 1]], [[2, 0]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}]}]}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}]}]}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}]}]}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}]}]}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}]}]}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}]}]}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}]}]}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]}]}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}]}]}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}]}]}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}]}]}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.detect_components&#34;, &#34;strategy_class&#34;: &#34;DetectComponentsStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;inferrable&#34;: true, &#34;possibly_empty&#34;: true, &#34;workable&#34;: true}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}]}]}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [], &#34;pos&#34;: []}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}]}]}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}]}]}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_placement&#34;, &#34;strategy_class&#34;: &#34;RequirementPlacementStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}], &#34;indices&#34;: [0, 0], &#34;direction&#34;: 3, &#34;own_col&#34;: true, &#34;own_row&#34;: true, &#34;include_empty&#34;: true}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}]}]}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [1, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}]}]}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]}]}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 1], [2, 1], [3, 1]], [[1, 0]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [1, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}]}]}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}]}]}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [1, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}]}]}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}]}]}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]}]}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}]}]}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}]}]}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [], &#34;pos&#34;: []}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [3, 1], [4, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 1], [3, 1], [4, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 1], [3, 1], [4, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [3, 1], [4, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 1], [3, 1], [4, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 1], [3, 1], [4, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[2, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[0, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[2, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[0, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[2, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[0, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[2, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[0, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[2, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 1]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 1]]}]}]}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [4, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [1, 1], [4, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [3, 1], [4, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [4, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [3, 1], [4, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 1], [3, 1], [4, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [4, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [1, 1], [4, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [3, 1], [4, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [4, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [3, 1], [4, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 1], [3, 1], [4, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 1], [0, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 1], [1, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[1, 1], [1, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[1, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[0, 1], [1, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[0, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[1, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[0, 1], [0, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[0, 1], [1, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[0, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[1, 1], [1, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[1, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 1], [1, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[0, 1], [1, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[0, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[1, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[0, 1], [1, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[0, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[1, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 1]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 1]]}]}]}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [2, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[4, 1], [4, 1], [4, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 1]]}]}]}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_placement&#34;, &#34;strategy_class&#34;: &#34;RequirementPlacementStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}], &#34;indices&#34;: [0, 0, 0], &#34;direction&#34;: 3, &#34;own_col&#34;: true, &#34;own_row&#34;: true, &#34;include_empty&#34;: true}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [3, 1], [4, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 1], [3, 1], [4, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 1], [3, 1], [4, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [3, 1], [4, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 1], [3, 1], [4, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 1], [3, 1], [4, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[2, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[0, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[2, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[0, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[2, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[0, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[2, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[0, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[2, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 1]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 1]]}]}]}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [1, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}]}]}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]}]}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 1], [2, 1], [3, 1], [4, 1]], [[1, 0]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [4, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [1, 1], [4, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [3, 1], [4, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [4, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [3, 1], [4, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 1], [3, 1], [4, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [4, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [1, 1], [4, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [3, 1], [4, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [4, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [3, 1], [4, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 1], [3, 1], [4, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 1], [0, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 1], [1, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[1, 1], [1, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[1, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[0, 1], [1, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[0, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[1, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[0, 1], [0, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[0, 1], [1, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[0, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[1, 1], [1, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[1, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 1], [1, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[0, 1], [1, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[0, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[1, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[0, 1], [1, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[0, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[1, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 1]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 1]]}]}]}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 0], [0, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 0], [1, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 0], [1, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 0], [0, 0], [3, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 0], [1, 0], [3, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 0], [1, 0], [3, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 0], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[0, 0], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[0, 0], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 0], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[0, 0], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[0, 0], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}]}]}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]}]}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 1], [1, 1], [3, 1], [4, 1]], [[2, 0]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [1, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}]}]}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}]}]}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [1, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}]}]}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 0], [0, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 0], [1, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 0], [1, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 0], [0, 0], [3, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 0], [1, 0], [3, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 0], [1, 0], [3, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 0], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[0, 0], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[0, 0], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 0], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[0, 0], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[0, 0], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}]}]}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}]}]}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 0], [0, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 0], [1, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 0], [1, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 0], [0, 0], [3, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 0], [1, 0], [3, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 0], [1, 0], [3, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 0], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[0, 0], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[0, 0], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 0], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[0, 0], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[0, 0], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}]}]}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}]}]}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}]}]}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}]}]}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 0], [0, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 0], [1, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 0], [1, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 0], [0, 0], [3, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 0], [1, 0], [3, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 0], [1, 0], [3, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 0], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[0, 0], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[0, 0], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 0], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[0, 0], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[0, 0], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}]}]}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}]}]}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 0], [0, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 0], [1, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 0], [1, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 0], [0, 0], [3, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 0], [1, 0], [3, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 0], [1, 0], [3, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 0], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[0, 0], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[0, 0], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 0], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[0, 0], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[0, 0], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}]}]}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}]}]}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}]}]}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.detect_components&#34;, &#34;strategy_class&#34;: &#34;DetectComponentsStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;inferrable&#34;: true, &#34;possibly_empty&#34;: true, &#34;workable&#34;: true}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}]}]}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [], &#34;pos&#34;: []}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]}]}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}]}]}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_placement&#34;, &#34;strategy_class&#34;: &#34;RequirementPlacementStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}], &#34;indices&#34;: [0, 0], &#34;direction&#34;: 3, &#34;own_col&#34;: true, &#34;own_row&#34;: true, &#34;include_empty&#34;: true}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]}]}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]}]}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 0]], [[1, 1]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}]}]}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [1, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}]}]}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]}]}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 1], [1, 1], [3, 1]], [[2, 0]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}]}]}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [], &#34;pos&#34;: []}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [3, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 1], [3, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [3, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 1], [3, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[4, 1], [4, 1], [4, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 1]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 1]]}]}]}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [3, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [3, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [3, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [3, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[4, 1], [4, 1], [4, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 1]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 1]]}]}]}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [2, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[4, 1], [4, 1], [4, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 1]]}]}]}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_placement&#34;, &#34;strategy_class&#34;: &#34;RequirementPlacementStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}], &#34;indices&#34;: [0, 0, 0], &#34;direction&#34;: 3, &#34;own_col&#34;: true, &#34;own_row&#34;: true, &#34;include_empty&#34;: true}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [3, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 1], [3, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [3, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 1], [3, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[4, 1], [4, 1], [4, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 1]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 1]]}]}]}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [1, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}]}]}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]}]}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 1], [2, 1], [3, 1], [4, 1]], [[1, 0]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [3, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [3, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [3, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [3, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[4, 1], [4, 1], [4, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 1]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 1]]}]}]}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [1, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}]}]}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]}]}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 1], [1, 1], [3, 1], [4, 1]], [[2, 0]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 0], [0, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 0], [1, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 0], [1, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 0], [0, 0], [3, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 0], [1, 0], [3, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 0], [1, 0], [3, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 0], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[0, 0], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[0, 0], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 0], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[0, 0], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[0, 0], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}]}]}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [], &#34;pos&#34;: []}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [3, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 1], [3, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [3, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 1], [3, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [4, 1], [5, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [5, 1], [5, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 1], [4, 1], [5, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 1], [5, 1], [5, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 1], [4, 1], [5, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 1], [5, 1], [5, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[4, 1], [4, 1], [5, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[4, 1], [5, 1], [5, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[5, 1], [5, 1], [5, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [4, 1], [5, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [5, 1], [5, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 1], [4, 1], [5, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 1], [5, 1], [5, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 1], [4, 1], [5, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 1], [5, 1], [5, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[4, 1], [4, 1], [5, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[4, 1], [5, 1], [5, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[5, 1], [5, 1], [5, 1]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[2, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[3, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[4, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[0, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[2, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[3, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[4, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[0, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[2, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[3, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[4, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[3, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[4, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[0, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[2, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[3, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[4, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[0, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[2, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[3, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[4, 1], [4, 1], [4, 1], [4, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 1]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 1]]}]}]}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [3, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [3, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [3, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [3, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [4, 1], [5, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [5, 1], [5, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [4, 1], [5, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [5, 1], [5, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 1], [4, 1], [5, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 1], [5, 1], [5, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[4, 1], [4, 1], [5, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[4, 1], [5, 1], [5, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[5, 1], [5, 1], [5, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [4, 1], [5, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [5, 1], [5, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [4, 1], [5, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [5, 1], [5, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 1], [4, 1], [5, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 1], [5, 1], [5, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[4, 1], [4, 1], [5, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[4, 1], [5, 1], [5, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[5, 1], [5, 1], [5, 1]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[1, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[3, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[4, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[0, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[1, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[3, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[4, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[0, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[1, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[3, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[4, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[3, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[4, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[0, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[1, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[3, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[4, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[0, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[1, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[3, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[4, 1], [4, 1], [4, 1], [4, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 1]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 1]]}]}]}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[1, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [5, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 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[[1, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[2, 1], [2, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[2, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[4, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 1], [1, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 1], [2, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 1], [2, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 1], [2, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[4, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[0, 1], [1, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[0, 1], [2, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[0, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[1, 1], [2, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[1, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[2, 1], [2, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[2, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[4, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[0, 1], [1, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[0, 1], [2, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[0, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[1, 1], [2, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[1, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[2, 1], [2, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[2, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[4, 1], [4, 1], [4, 1], [4, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 1]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 1]]}]}]}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [3, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [2, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [3, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 1], [3, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[4, 0], [4, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [3, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [3, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 1], [3, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[4, 0], [4, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [5, 1], [5, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [5, 1], [5, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 1], [5, 1], [5, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 1], [5, 1], [5, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[5, 1], [5, 1], [5, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [5, 1], [5, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [5, 1], [5, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 1], [5, 1], [5, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 1], [5, 1], [5, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[5, 1], [5, 1], [5, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 0]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 1]]}]}]}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_placement&#34;, &#34;strategy_class&#34;: &#34;RequirementPlacementStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}], &#34;indices&#34;: [0, 0, 0, 0], &#34;direction&#34;: 3, &#34;own_col&#34;: true, &#34;own_row&#34;: true, &#34;include_empty&#34;: true}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [3, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 1], [3, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [3, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 1], [3, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [4, 1], [5, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [5, 1], [5, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 1], [4, 1], [5, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 1], [5, 1], [5, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 1], [4, 1], [5, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 1], [5, 1], [5, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[4, 1], [4, 1], [5, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[4, 1], [5, 1], [5, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[5, 1], [5, 1], [5, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [4, 1], [5, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [5, 1], [5, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 1], [4, 1], [5, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 1], [5, 1], [5, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 1], [4, 1], [5, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 1], [5, 1], [5, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[4, 1], [4, 1], [5, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[4, 1], [5, 1], [5, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[5, 1], [5, 1], [5, 1]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[2, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[3, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[4, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[0, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[2, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[3, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[4, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[0, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[2, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[3, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[4, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[3, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[4, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[0, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[2, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[3, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[4, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[0, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[2, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[3, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[4, 1], [4, 1], [4, 1], [4, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 1]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 1]]}]}]}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [1, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 0], [3, 0], [4, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 0], [3, 0], [4, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 0], [3, 0], [4, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 0], [3, 0], [4, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 0], [3, 0], [4, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 0], [3, 0], [4, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 0], [3, 0], [4, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 0], [3, 0], [4, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[1, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[2, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[0, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[1, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[2, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[0, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[1, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[2, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[0, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[1, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[2, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[0, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[1, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[2, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 0]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 0]]}]}]}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]}]}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 1], [2, 1], [3, 1], [4, 1], [5, 1]], [[1, 0]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [3, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [3, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [3, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [3, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [4, 1], [5, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [5, 1], [5, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [4, 1], [5, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [5, 1], [5, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 1], [4, 1], [5, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 1], [5, 1], [5, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[4, 1], [4, 1], [5, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[4, 1], [5, 1], [5, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[5, 1], [5, 1], [5, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [4, 1], [5, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [5, 1], [5, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [4, 1], [5, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [5, 1], [5, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 1], [4, 1], [5, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 1], [5, 1], [5, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[4, 1], [4, 1], [5, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[4, 1], [5, 1], [5, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[5, 1], [5, 1], [5, 1]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[1, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[3, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[4, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[0, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[1, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[3, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[4, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[0, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[1, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[3, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[4, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[3, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[4, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[0, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[1, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[3, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[4, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[0, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[1, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[3, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[4, 1], [4, 1], [4, 1], [4, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 1]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 1]]}]}]}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [1, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 0], [3, 0], [4, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 0], [3, 0], [4, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 0], [3, 0], [4, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 0], [3, 0], [4, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 0], [3, 0], [4, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 0], [3, 0], [4, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 0], [3, 0], [4, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 0], [3, 0], [4, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[1, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[2, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[0, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[1, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[2, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[0, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[1, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[2, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[0, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[1, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[2, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[0, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[1, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[2, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 0]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 0]]}]}]}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]}]}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 1], [1, 1], [3, 1], [4, 1], [5, 1]], [[2, 0]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 0], [3, 0]]}, {&#34;patt&#34;: 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[1, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[1, 1], [2, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[1, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[2, 1], [2, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[2, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[4, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[0, 1], [1, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[0, 1], [2, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[0, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[1, 1], [2, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[1, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[2, 1], [2, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[2, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[4, 1], [4, 1], [4, 1], [4, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 1]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 1]]}]}]}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, 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{&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 0], [2, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 0], [1, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 0], [2, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[0, 0], [0, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[0, 0], [1, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[0, 0], [2, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[0, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[1, 0], [1, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[1, 0], [2, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[1, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[2, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[0, 0], [0, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[0, 0], [1, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[0, 0], [2, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[0, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[1, 0], [1, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[1, 0], [2, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[1, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[2, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 0]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 0]]}]}]}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]}]}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 1], [1, 1], [2, 1], [4, 1], [5, 1]], [[3, 0]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}]}]}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [], &#34;pos&#34;: []}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}]}]}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [1, 1], [4, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [3, 1], [4, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [4, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [3, 1], [4, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 1], [3, 1], [4, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [1, 1], [4, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [3, 1], [4, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [4, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [3, 1], [4, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 1], [3, 1], [4, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 1], [1, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[1, 1], [1, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[1, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[0, 1], [1, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[0, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[1, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[0, 1], [1, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[0, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[1, 1], [1, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[1, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 1], [1, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[0, 1], [1, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[0, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[1, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[0, 1], [1, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[0, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[1, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 1]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 1]]}]}]}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [2, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[4, 1], [4, 1], [4, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 1]]}]}]}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_placement&#34;, &#34;strategy_class&#34;: &#34;RequirementPlacementStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}], &#34;indices&#34;: [0, 0, 0], &#34;direction&#34;: 3, &#34;own_col&#34;: true, &#34;own_row&#34;: true, &#34;include_empty&#34;: true}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}]}]}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}]}]}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 0]], [[1, 1], [2, 1]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [1, 1], [4, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [3, 1], [4, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [4, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [3, 1], [4, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 1], [3, 1], [4, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [1, 1], [4, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [3, 1], [4, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [4, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [3, 1], [4, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 1], [3, 1], [4, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 1], [1, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[1, 1], [1, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[1, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[0, 1], [1, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[0, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[1, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[0, 1], [1, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[0, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[1, 1], [1, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[1, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 1], [1, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[0, 1], [1, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[0, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[1, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[0, 1], [1, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[0, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[1, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 1]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 1]]}]}]}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 0], [1, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 0], [1, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 0], [1, 0], [3, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 0], [1, 0], [3, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 0], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[0, 0], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[0, 0], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 0], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[0, 0], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[0, 0], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}]}]}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]}]}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 1], [1, 1], [3, 1], [4, 1]], [[2, 0]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 0], [1, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 0], [1, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 0], [1, 0], [3, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 0], [1, 0], [3, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 0], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[0, 0], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[0, 0], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 0], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[0, 0], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[0, 0], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}]}]}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}]}]}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 0], [1, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 0], [1, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 0], [1, 0], [3, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 0], [1, 0], [3, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 0], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[0, 0], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[0, 0], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 0], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[0, 0], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[0, 0], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}]}]}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}]}]}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}]}]}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}]}]}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 0], [1, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 0], [1, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 0], [1, 0], [3, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 0], [1, 0], [3, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 0], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[0, 0], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[0, 0], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 0], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[0, 0], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[0, 0], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}]}]}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}]}]}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 0], [1, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 0], [1, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 0], [1, 0], [3, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 0], [1, 0], [3, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 0], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[0, 0], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[0, 0], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 0], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[0, 0], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[0, 0], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}]}]}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}]}]}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [], &#34;pos&#34;: []}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}]}]}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [3, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [3, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [3, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [3, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[4, 1], [4, 1], [4, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 1]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 1]]}]}]}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [2, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[4, 1], [4, 1], [4, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 1]]}]}]}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_placement&#34;, &#34;strategy_class&#34;: &#34;RequirementPlacementStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}], &#34;indices&#34;: [0, 0, 0], &#34;direction&#34;: 3, &#34;own_col&#34;: true, &#34;own_row&#34;: true, &#34;include_empty&#34;: true}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}]}]}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}]}]}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 0]], [[1, 1], [2, 1]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [3, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [3, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [3, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [3, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[4, 1], [4, 1], [4, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 1]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 1]]}]}]}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [1, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}]}]}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]}]}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 1], [1, 1], [3, 1], [4, 1]], [[2, 0]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 0], [1, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 0], [1, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 0], [1, 0], [3, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 0], [1, 0], [3, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 0], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[0, 0], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[0, 0], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 0], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[0, 0], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[0, 0], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}]}]}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [], &#34;pos&#34;: []}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [2, 1], [3, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 1], [2, 1], [3, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [2, 1], [3, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 1], [2, 1], [3, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[1, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[1, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[1, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[1, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[1, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}]}]}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [3, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [3, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [3, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [3, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [4, 1], [5, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [5, 1], [5, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [4, 1], [5, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [5, 1], [5, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 1], [4, 1], [5, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 1], [5, 1], [5, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[4, 1], [4, 1], [5, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[4, 1], [5, 1], [5, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[5, 1], [5, 1], [5, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [4, 1], [5, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [5, 1], [5, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [4, 1], [5, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [5, 1], [5, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 1], [4, 1], [5, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 1], [5, 1], [5, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[4, 1], [4, 1], [5, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[4, 1], [5, 1], [5, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[5, 1], [5, 1], [5, 1]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[1, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[3, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[4, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[0, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[1, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[3, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[4, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[0, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[1, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[3, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[4, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[3, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[4, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[0, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[1, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[3, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[4, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[0, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[1, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[3, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[4, 1], [4, 1], [4, 1], [4, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 1]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 1]]}]}]}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[1, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [1, 1], [5, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [2, 1], [5, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [4, 1], [5, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [5, 1], [5, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [5, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [2, 1], [5, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [4, 1], [5, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [5, 1], [5, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 1], [2, 1], [5, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 1], [4, 1], [5, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 1], [5, 1], [5, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[4, 1], [4, 1], [5, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[4, 1], [5, 1], [5, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[5, 1], [5, 1], [5, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [1, 1], [5, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [2, 1], [5, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [4, 1], [5, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [5, 1], [5, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [5, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [2, 1], [5, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [4, 1], [5, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [5, 1], [5, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 1], [2, 1], [5, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 1], [4, 1], [5, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 1], [5, 1], [5, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[4, 1], [4, 1], [5, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[4, 1], [5, 1], [5, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[5, 1], [5, 1], [5, 1]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 1], [1, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 1], [2, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[1, 1], [1, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[1, 1], [2, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[1, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[2, 1], [2, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[2, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[4, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[0, 1], [1, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[0, 1], [2, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[0, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[1, 1], [2, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[1, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[2, 1], [2, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[2, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[4, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[0, 1], [1, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[0, 1], [2, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[0, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[1, 1], [1, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[1, 1], [2, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[1, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[2, 1], [2, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[2, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[4, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 1], [1, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 1], [2, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 1], [2, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 1], [2, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[4, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[0, 1], [1, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[0, 1], [2, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[0, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[1, 1], [2, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[1, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[2, 1], [2, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[2, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[4, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[0, 1], [1, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[0, 1], [2, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[0, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[1, 1], [2, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[1, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[2, 1], [2, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[2, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[4, 1], [4, 1], [4, 1], [4, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 1]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 1]]}]}]}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [3, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [2, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [3, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 1], [3, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[4, 0], [4, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [3, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [3, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 1], [3, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[4, 0], [4, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [5, 1], [5, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [5, 1], [5, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 1], [5, 1], [5, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 1], [5, 1], [5, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[5, 1], [5, 1], [5, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [5, 1], [5, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [5, 1], [5, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 1], [5, 1], [5, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 1], [5, 1], [5, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[5, 1], [5, 1], [5, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 0]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 1]]}]}]}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_placement&#34;, &#34;strategy_class&#34;: &#34;RequirementPlacementStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}], &#34;indices&#34;: [0, 0, 0, 0], &#34;direction&#34;: 3, &#34;own_col&#34;: true, &#34;own_row&#34;: true, &#34;include_empty&#34;: true}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [2, 1], [3, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 1], [2, 1], [3, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [2, 1], [3, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 1], [2, 1], [3, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[1, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[1, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[1, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[1, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[1, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}]}]}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}]}]}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 0]], [[1, 1], [2, 1], [3, 1]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [3, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [3, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [3, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [3, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [4, 1], [5, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [5, 1], [5, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [4, 1], [5, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [5, 1], [5, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 1], [4, 1], [5, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 1], [5, 1], [5, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[4, 1], [4, 1], [5, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[4, 1], [5, 1], [5, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[5, 1], [5, 1], [5, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [4, 1], [5, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [5, 1], [5, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [4, 1], [5, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [5, 1], [5, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 1], [4, 1], [5, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 1], [5, 1], [5, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[4, 1], [4, 1], [5, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[4, 1], [5, 1], [5, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[5, 1], [5, 1], [5, 1]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[1, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[3, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[4, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[0, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[1, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[3, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[4, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[0, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[1, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[3, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[4, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[3, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[4, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[0, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[1, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[3, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[4, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[0, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[1, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[3, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[4, 1], [4, 1], [4, 1], [4, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 1]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 1]]}]}]}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [1, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 0], [3, 0], [4, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 0], [3, 0], [4, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 0], [3, 0], [4, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 0], [3, 0], [4, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 0], [3, 0], [4, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 0], [3, 0], [4, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 0], [3, 0], [4, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 0], [3, 0], [4, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[1, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[2, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[0, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[1, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[2, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[0, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[1, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[2, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[0, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[1, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[2, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[0, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[1, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[2, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 0]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 0]]}]}]}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]}]}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 1], [1, 1], [3, 1], [4, 1], [5, 1]], [[2, 0]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[1, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [1, 1], [5, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [2, 1], [5, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [4, 1], [5, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [5, 1], [5, 1]]}, {&#34;patt&#34;: [1, 2, 0], 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1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [5, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [2, 1], [5, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [4, 1], [5, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [5, 1], [5, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 1], [2, 1], [5, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 1], [4, 1], [5, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 1], [5, 1], [5, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[4, 1], [4, 1], [5, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[4, 1], [5, 1], [5, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[5, 1], [5, 1], [5, 1]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 1], [1, 1], [4, 1], [4, 1]]}, 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[4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[4, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 1], [1, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 1], [2, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 1], [2, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 1], [2, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[4, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[0, 1], [1, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[0, 1], [2, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[0, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[1, 1], [2, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[1, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[2, 1], [2, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[2, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[4, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[0, 1], [1, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[0, 1], [2, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[0, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[1, 1], [2, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[1, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[2, 1], [2, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[2, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[4, 1], [4, 1], [4, 1], [4, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 1]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 1]]}]}]}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, 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0]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[1, 0], [1, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[1, 0], [2, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[1, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[2, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 0]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 0]]}]}]}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]}]}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 1], [1, 1], [2, 1], [4, 1], [5, 1]], [[3, 0]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}]}]}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]}]}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}]}]}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}]}]}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]}]}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, 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&#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 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{&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]}]}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]}]}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 0]], [[1, 1]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]}]}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]}]}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]}]}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 0]], [[1, 1]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}]}]}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], 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&#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 1, 2, 0], 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{&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]}]}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}]}]}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}]}]}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [], &#34;pos&#34;: []}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 2], [1, 3], [1, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 3], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 2]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}]}]}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 3], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 3], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 1]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}]}]}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_placement&#34;, &#34;strategy_class&#34;: &#34;RequirementPlacementStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], &#34;indices&#34;: [0, 0], &#34;direction&#34;: 2, &#34;own_col&#34;: true, &#34;own_row&#34;: true, &#34;include_empty&#34;: true}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 2], [1, 3], [1, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 3], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 2]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}]}]}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]}]}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 2], [0, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}]}]}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 1]], [[1, 0], [1, 2], [1, 3]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 3], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 3], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 1]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}]}]}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]}]}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 2], [0, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}]}]}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 2]], [[1, 0], [1, 1], [1, 3]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 2], [0, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}]}]}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}]}]}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 2], [0, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}]}]}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 2], [0, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}]}]}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [0, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}]}]}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 2], [0, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}]}]}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 2], [0, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}]}]}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [0, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}]}]}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 2], [0, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}]}]}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [0, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}]}]}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]}]}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [0, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}]}]}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 2], [0, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}]}]}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [0, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}]}]}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 2], [0, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}]}]}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 1]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}]}]}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]}]}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [0, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}]}]}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 0]], [[1, 1], [1, 2]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [0, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}]}]}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]}]}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [0, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}]}]}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 2], [1, 3], [1, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 3], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 2]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}]}]}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]}]}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 2], [0, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}]}]}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 0]], [[1, 1], [1, 2], [1, 3]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 2], [0, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}]}]}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}]}]}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 2], [0, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 2, 1, 0], 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&#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]}]}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 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{&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 0]], [[1, 1]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [1, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}]}]}, 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&#34;pos&#34;: [[0, 0]]}]}]}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 1], [2, 1], [3, 1]], [[1, 0]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 0], 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&#34;pos&#34;: [[1, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}]}]}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [], &#34;pos&#34;: []}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}]}]}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [4, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [4, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 1], [4, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[4, 1], [4, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 1]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 1]]}]}]}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [], &#34;pos&#34;: []}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_placement&#34;, &#34;strategy_class&#34;: &#34;RequirementPlacementStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}], &#34;indices&#34;: [0, 0, 0], &#34;direction&#34;: 3, &#34;own_col&#34;: true, &#34;own_row&#34;: true, &#34;include_empty&#34;: true}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}]}]}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]}]}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [1, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}]}]}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 0]], [[1, 1], [2, 1]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [4, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [4, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 1], [4, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[4, 1], [4, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 1]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 1]]}]}]}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [1, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [3, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 0], [3, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 0], [3, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 0], 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2], [2, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 2], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 0], [0, 2], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [2, 2], [2, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}]}]}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_placement&#34;, &#34;strategy_class&#34;: &#34;RequirementPlacementStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}], &#34;indices&#34;: [0], &#34;direction&#34;: 2, &#34;own_col&#34;: true, &#34;own_row&#34;: true, &#34;include_empty&#34;: false}}, &#34;idx&#34;: 0}]}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;EquivalencePathRule&#34;, &#34;rules&#34;: [{&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}]}]}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [3, 2]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[2, 2], [2, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[2, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[3, 0], [3, 2], [3, 2], [3, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2], [3, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [3, 2]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[2, 2], [2, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[2, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 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&#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [2, 2], [3, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [3, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [2, 2], [3, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [3, 2], [3, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}]}]}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_placement&#34;, &#34;strategy_class&#34;: &#34;RequirementPlacementStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], &#34;indices&#34;: [0], &#34;direction&#34;: 3, &#34;own_col&#34;: true, &#34;own_row&#34;: true, &#34;include_empty&#34;: false}}]}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;EquivalencePathRule&#34;, &#34;rules&#34;: [{&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;ReverseRule&#34;, &#34;original_rule&#34;: {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: 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2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [2, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_placement&#34;, &#34;strategy_class&#34;: &#34;RequirementPlacementStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], &#34;indices&#34;: [0], &#34;direction&#34;: 3, &#34;own_col&#34;: true, &#34;own_row&#34;: true, &#34;include_empty&#34;: false}}, &#34;idx&#34;: 0}]}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;EquivalencePathRule&#34;, &#34;rules&#34;: [{&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, 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{&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [2, 0], [2, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}]}]}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, 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0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [4, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [2, 2], [3, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [2, 2], [4, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [3, 2], [4, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [4, 2], [4, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 2]]}]}]}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_placement&#34;, &#34;strategy_class&#34;: &#34;RequirementPlacementStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], &#34;indices&#34;: [0], &#34;direction&#34;: 3, &#34;own_col&#34;: true, &#34;own_row&#34;: true, &#34;include_empty&#34;: false}}, &#34;idx&#34;: 0}]}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;EquivalencePathRule&#34;, &#34;rules&#34;: [{&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, 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[0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [2, 1], [2, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}]}]}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 1], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 1], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[2, 2], [2, 1], [2, 2]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 2], [2, 1], [2, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 2], [2, 1], [2, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 2], [2, 1], [2, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [2, 2], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 2], [2, 2], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [2, 2]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [4, 2]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[1, 2], [1, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[1, 2], [1, 2], [2, 2], [4, 2]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[1, 2], [1, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[1, 2], [2, 2], [2, 2], [4, 2]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[1, 2], [2, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[1, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[2, 1], [2, 2], [4, 2], [4, 1]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[2, 1], [4, 2], [4, 2], [4, 1]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[2, 2], [2, 2], [4, 2], [4, 1]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[2, 2], [2, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[2, 2], [4, 2], [4, 2], [4, 1]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[2, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[4, 1], [4, 2], [4, 2], [4, 1]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[4, 2], [4, 2], [4, 2], [4, 1]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[4, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [2, 2]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [4, 2]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[1, 2], [1, 2], [2, 2], [4, 2]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[1, 2], [1, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[1, 2], [2, 2], [2, 2], [4, 2]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[1, 2], [2, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[1, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[2, 1], [2, 2], [4, 2], [4, 1]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[2, 1], [4, 2], [4, 2], [4, 1]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[2, 2], [2, 2], [4, 2], [4, 1]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[2, 2], [2, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[2, 2], [4, 2], [4, 2], [4, 1]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[2, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[4, 1], [4, 2], [4, 2], [4, 1]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[4, 2], [4, 2], [4, 2], [4, 1]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[4, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [2, 2]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [4, 2]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[1, 2], [1, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[1, 2], [1, 2], [2, 2], [4, 2]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[1, 2], [1, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[1, 2], [2, 2], [2, 2], [4, 2]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[1, 2], [2, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[1, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [2, 1, 3, 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2], [4, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2], [1, 2], [2, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2], [1, 2], [4, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2], [2, 2], [4, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [2, 2], [2, 2], [4, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [2, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [4, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [1, 2], [2, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [1, 2], [4, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [2, 2], [4, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [4, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [1, 2], [2, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [1, 2], [4, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [2, 2], [4, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [4, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [1, 2], [2, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [1, 2], [4, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [2, 2], [4, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [4, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [1, 2], [2, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [1, 2], [4, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [2, 2], [4, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [4, 2], [4, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 2]]}]}]}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_placement&#34;, &#34;strategy_class&#34;: &#34;RequirementPlacementStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}], &#34;indices&#34;: [0], &#34;direction&#34;: 3, &#34;own_col&#34;: true, &#34;own_row&#34;: true, &#34;include_empty&#34;: false}}]}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;EquivalencePathRule&#34;, &#34;rules&#34;: [{&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}]}]}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}]}]}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.symmetry&#34;, &#34;strategy_class&#34;: &#34;TilingAntidiagonal&#34;, &#34;ignore_parent&#34;: false, &#34;inferrable&#34;: false, &#34;possibly_empty&#34;: false, &#34;workable&#34;: false}}]}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;EquivalencePathRule&#34;, &#34;rules&#34;: [{&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}]}]}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}]}]}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.symmetry&#34;, &#34;strategy_class&#34;: &#34;TilingAntidiagonal&#34;, &#34;ignore_parent&#34;: false, &#34;inferrable&#34;: false, &#34;possibly_empty&#34;: false, &#34;workable&#34;: false}}]}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;EquivalencePathRule&#34;, &#34;rules&#34;: [{&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 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2], [0, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [3, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2], [3, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 2], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 2], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 0], [0, 2], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}]}]}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_placement&#34;, &#34;strategy_class&#34;: &#34;RequirementPlacementStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}], &#34;indices&#34;: [0], &#34;direction&#34;: 3, &#34;own_col&#34;: true, &#34;own_row&#34;: true, &#34;include_empty&#34;: false}}]}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;EquivalencePathRule&#34;, &#34;rules&#34;: [{&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;ReverseRule&#34;, &#34;original_rule&#34;: {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}]}]}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 2], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 2], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 2], [0, 2], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 2], [0, 2], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 2], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 2], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 2], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 0], [0, 2], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}]}]}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_placement&#34;, &#34;strategy_class&#34;: &#34;RequirementPlacementStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], &#34;indices&#34;: [0], &#34;direction&#34;: 0, &#34;own_col&#34;: true, &#34;own_row&#34;: true, &#34;include_empty&#34;: false}}, &#34;idx&#34;: 0}]}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;EquivalencePathRule&#34;, &#34;rules&#34;: [{&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;ReverseRule&#34;, &#34;original_rule&#34;: {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}]}]}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 2], [2, 2], [3, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 0], [3, 2], [3, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 2], [3, 2], [3, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 2], [2, 2], [3, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 2], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 2], [3, 2], [3, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [2, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [3, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [2, 2], [3, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[0, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[0, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], 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0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 2], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 2], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 0], [0, 2], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}]}]}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [3, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 2], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 2], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 0], [0, 2], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}]}]}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.row_and_col_separation&#34;, &#34;strategy_class&#34;: &#34;RowColumnSeparationStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;inferrable&#34;: true, &#34;possibly_empty&#34;: false, &#34;workable&#34;: true}}, &#34;idx&#34;: 0}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;ReverseRule&#34;, &#34;original_rule&#34;: {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}]}]}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 2], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 2], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 0], [0, 2], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}]}]}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_placement&#34;, &#34;strategy_class&#34;: &#34;RequirementPlacementStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}], &#34;indices&#34;: [0], &#34;direction&#34;: 2, &#34;own_col&#34;: true, &#34;own_row&#34;: true, &#34;include_empty&#34;: false}}, &#34;idx&#34;: 0}]}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;EquivalencePathRule&#34;, &#34;rules&#34;: [{&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1], [1, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]}]}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [3, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 0], [3, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 1], [3, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 3], [3, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 1], [3, 3], [3, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 3], [3, 3], [3, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 3], [3, 1], [3, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 3], [3, 3], [3, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 3], [3, 1], [3, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 3], [3, 3], [3, 1]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 3], [3, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [3, 3], [3, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [3, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 3], [3, 3], [3, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [3, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1], [3, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [3, 1]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 1], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 1], [3, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 3], [3, 1]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[0, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[0, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 3], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 3], [0, 3], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [3, 3]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 3], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 3], [0, 3], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [3, 3]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 3], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1], [0, 3], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [3, 3]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 3], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [3, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1], [0, 3], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [3, 3]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [3, 3]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 1], [0, 3], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [3, 3]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 3], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [3, 3]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [3, 3], [3, 3]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}]}]}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_placement&#34;, &#34;strategy_class&#34;: &#34;RequirementPlacementStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}], &#34;indices&#34;: [0], &#34;direction&#34;: 2, &#34;own_col&#34;: true, &#34;own_row&#34;: true, &#34;include_empty&#34;: false}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [3, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 0], [3, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 1], [3, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 3], [3, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 1], [3, 3], [3, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 3], [3, 3], [3, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 3], [3, 1], [3, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 3], [3, 3], [3, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 3], [3, 1], [3, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 3], [3, 3], [3, 1]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 3], [3, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [3, 3], [3, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [3, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 3], [3, 3], [3, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [3, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1], [3, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [3, 1]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 1], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 1], [3, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 3], [3, 1]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[0, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[0, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 3], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 3], [0, 3], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [3, 3]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 3], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 3], [0, 3], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: 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3, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1], [0, 3], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [3, 3]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [3, 3]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 1], [0, 3], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [3, 3]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 3], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [3, 3]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [3, 3], [3, 3]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}]}]}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 4], [3, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[4, 2], [4, 4], [4, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[4, 4], [4, 4], [4, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 4], [4, 2], [4, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 4], [4, 4], [4, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[4, 4], [4, 2], [4, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[4, 4], [4, 4], [4, 2]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 2], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 2], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 2], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [4, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 4], [4, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [4, 4], [4, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 4], [0, 4], [4, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 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{&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 4], [0, 2], [0, 4], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 4], [0, 4], [4, 4], [4, 4]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [4, 4]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [4, 4], [4, 4]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 4], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 4], [0, 4], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 4], [0, 4], [4, 4], [4, 4]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [4, 4]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [4, 4], [4, 4]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 4], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 4], [0, 2], [0, 2], [0, 4], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 4], [0, 2], [0, 4], [4, 4], [4, 4]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [4, 4]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [4, 4], [4, 4]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 2], [0, 4], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 2], [0, 4], [4, 4], [4, 4]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [4, 4]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [4, 4], [4, 4]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 4]]}]}]}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.row_and_col_separation&#34;, &#34;strategy_class&#34;: &#34;RowColumnSeparationStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;inferrable&#34;: true, &#34;possibly_empty&#34;: false, &#34;workable&#34;: true}}]}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;EquivalencePathRule&#34;, &#34;rules&#34;: [{&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;ReverseRule&#34;, &#34;original_rule&#34;: {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]}]}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 3], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 0], [2, 3], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 2], [2, 3], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 2], [2, 3], [2, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 3], [2, 3], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 3], [2, 3], [2, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 2], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 3], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 3], [2, 2], [2, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 3], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 3], [2, 3], [2, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 3], [2, 3], [2, 2]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 2], [2, 3], [2, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [2, 3], [2, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 2], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 2], [0, 2], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 2], [0, 2], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 2], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 2], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 2], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 0], [0, 2], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}]}]}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_placement&#34;, &#34;strategy_class&#34;: &#34;RequirementPlacementStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], &#34;indices&#34;: [0], &#34;direction&#34;: 0, &#34;own_col&#34;: true, &#34;own_row&#34;: true, &#34;include_empty&#34;: false}}, &#34;idx&#34;: 0}]}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;EquivalencePathRule&#34;, &#34;rules&#34;: [{&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;ReverseRule&#34;, &#34;original_rule&#34;: {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]}]}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 2], [1, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [1, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [1, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 0], [1, 3], [1, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 2], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 3], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 2], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 3], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[1, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[1, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[1, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[1, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[1, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 2], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 2], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 0], [0, 2], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}]}]}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_placement&#34;, &#34;strategy_class&#34;: &#34;RequirementPlacementStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}], &#34;indices&#34;: [0], &#34;direction&#34;: 0, &#34;own_col&#34;: true, &#34;own_row&#34;: true, &#34;include_empty&#34;: false}}, &#34;idx&#34;: 0}]}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;EquivalencePathRule&#34;, &#34;rules&#34;: [{&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;ReverseRule&#34;, &#34;original_rule&#34;: {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [3, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 2], [3, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 3], [3, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [1, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [3, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 3], [3, 3], [3, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 2], [3, 3], [3, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 3], [3, 3], [3, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 3], [3, 2], [3, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 3], [3, 3], [3, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 3], [3, 2], [3, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 3], [3, 3], [3, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 2], [3, 3], [3, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [1, 3], [3, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [3, 3], [3, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [3, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[1, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[1, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[1, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[1, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[1, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 2], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 2], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 0], [0, 2], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}]}]}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [3, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [1, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [3, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 3], [4, 3], [4, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[4, 2], [4, 3], [4, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[4, 3], [4, 3], [4, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 3], [4, 2], [4, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 3], [4, 3], [4, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[4, 3], [4, 2], [4, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[4, 3], [4, 3], [4, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 2], [4, 3], [4, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [4, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [1, 3], [4, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [4, 3], [4, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [4, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[1, 3], [4, 3], [4, 3], [4, 3]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[4, 3], [4, 3], [4, 3], [4, 3]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[1, 3], [4, 3], [4, 3], [4, 3]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[4, 3], [4, 3], [4, 3], [4, 3]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[1, 3], [4, 3], [4, 3], [4, 3]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[4, 3], [4, 3], [4, 3], [4, 3]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 3], [4, 3], [4, 3], [4, 3]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[4, 3], [4, 3], [4, 3], [4, 3]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[1, 3], [4, 3], [4, 3], [4, 3]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[4, 3], [4, 3], [4, 3], [4, 3]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[1, 3], [4, 3], [4, 3], [4, 3]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[4, 3], [4, 3], [4, 3], [4, 3]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 2], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 2], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 0], [0, 2], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 3]]}]}]}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.row_and_col_separation&#34;, &#34;strategy_class&#34;: &#34;RowColumnSeparationStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;inferrable&#34;: true, &#34;possibly_empty&#34;: false, &#34;workable&#34;: true}}, &#34;idx&#34;: 0}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;ReverseRule&#34;, &#34;original_rule&#34;: {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]}]}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [3, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 2], [3, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 3], [3, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [1, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [3, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 3], [3, 3], [3, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 2], [3, 3], [3, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 3], [3, 3], [3, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 3], [3, 2], [3, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 3], [3, 3], [3, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 3], [3, 2], [3, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 3], [3, 3], [3, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 2], [3, 3], [3, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [1, 3], [3, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [3, 3], [3, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [3, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[1, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[1, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[1, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[1, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[1, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 2], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 2], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 0], [0, 2], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}]}]}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_placement&#34;, &#34;strategy_class&#34;: &#34;RequirementPlacementStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}], &#34;indices&#34;: [0], &#34;direction&#34;: 2, &#34;own_col&#34;: true, &#34;own_row&#34;: true, &#34;include_empty&#34;: false}}, &#34;idx&#34;: 0}]}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;EquivalencePathRule&#34;, &#34;rules&#34;: [{&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;ReverseRule&#34;, &#34;original_rule&#34;: {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 0], [3, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 1], [3, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 3], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 1], [3, 3], [3, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 3], [3, 3], [3, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 3], [3, 1], [3, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 3], [3, 3], [3, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}]}]}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 0], [3, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[4, 1], [4, 3], [4, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[4, 3], [4, 3], [4, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[4, 3], [4, 1], [4, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[4, 3], [4, 3], [4, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[4, 3], [4, 3], [4, 3], [4, 3]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[4, 3], [4, 3], [4, 3], [4, 3]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[4, 3], [4, 3], [4, 3], [4, 3]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[4, 3], [4, 3], [4, 3], [4, 3]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[4, 3], [4, 3], [4, 3], [4, 3]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[4, 3], [4, 3], [4, 3], [4, 3]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 3]]}]}]}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.row_and_col_separation&#34;, &#34;strategy_class&#34;: &#34;RowColumnSeparationStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;inferrable&#34;: true, &#34;possibly_empty&#34;: false, &#34;workable&#34;: true}}, &#34;idx&#34;: 0}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;ReverseRule&#34;, &#34;original_rule&#34;: {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]}]}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 0], [3, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 1], [3, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 3], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 1], [3, 3], [3, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 3], [3, 3], [3, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 3], [3, 1], [3, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 3], [3, 3], [3, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}]}]}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_placement&#34;, &#34;strategy_class&#34;: &#34;RequirementPlacementStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}], &#34;indices&#34;: [0], &#34;direction&#34;: 2, &#34;own_col&#34;: true, &#34;own_row&#34;: true, &#34;include_empty&#34;: false}}, &#34;idx&#34;: 0}]}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;EquivalencePathRule&#34;, &#34;rules&#34;: [{&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 2], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[1, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[1, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[1, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[1, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[1, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}]}]}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 1], [2, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 1], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 2], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[2, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[2, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[2, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[2, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[2, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}]}]}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.row_and_col_separation&#34;, &#34;strategy_class&#34;: &#34;RowColumnSeparationStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;inferrable&#34;: true, &#34;possibly_empty&#34;: false, &#34;workable&#34;: true}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 1], [2, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 1], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 2], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[2, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[2, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[2, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[2, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[2, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}]}]}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 2], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[2, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[2, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[2, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[2, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[2, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}]}]}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.obstruction_inferral&#34;, &#34;strategy_class&#34;: &#34;ObstructionInferralStrategy&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}]}}]}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;EquivalencePathRule&#34;, &#34;rules&#34;: [{&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 2], [2, 2], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 2], [2, 2], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 1]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[1, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[1, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[1, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[1, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[1, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}]}]}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [3, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 2], [3, 2], [3, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 2], [3, 2], [3, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 2], [3, 2], [3, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 2], [3, 2], [3, 1]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[2, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[2, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[2, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[2, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[2, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}]}]}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.row_and_col_separation&#34;, &#34;strategy_class&#34;: &#34;RowColumnSeparationStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;inferrable&#34;: true, &#34;possibly_empty&#34;: false, &#34;workable&#34;: true}}]}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;EquivalencePathRule&#34;, &#34;rules&#34;: [{&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 3], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_placement&#34;, &#34;strategy_class&#34;: &#34;RequirementPlacementStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], &#34;indices&#34;: [0], &#34;direction&#34;: 0, &#34;own_col&#34;: true, &#34;own_row&#34;: true, &#34;include_empty&#34;: false}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 3], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 3], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.row_and_col_separation&#34;, &#34;strategy_class&#34;: &#34;RowColumnSeparationStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;inferrable&#34;: true, &#34;possibly_empty&#34;: false, &#34;workable&#34;: true}}]}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;EquivalencePathRule&#34;, &#34;rules&#34;: [{&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}]}]}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [1, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 2], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 2], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 2], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [1, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}]}]}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_placement&#34;, &#34;strategy_class&#34;: &#34;RequirementPlacementStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}], &#34;indices&#34;: [0], &#34;direction&#34;: 0, &#34;own_col&#34;: true, &#34;own_row&#34;: true, &#34;include_empty&#34;: false}}]}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;EquivalencePathRule&#34;, &#34;rules&#34;: [{&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, 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[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 2], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 2], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 2], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 0], [0, 2], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 0], [0, 2], [1, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2], [0, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 2]]}]}]}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.row_and_col_separation&#34;, &#34;strategy_class&#34;: &#34;RowColumnSeparationStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;inferrable&#34;: true, &#34;possibly_empty&#34;: false, &#34;workable&#34;: true}}, &#34;idx&#34;: 0}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;ReverseRule&#34;, &#34;original_rule&#34;: {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}]}]}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: 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{&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [3, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [3, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2], [3, 2]]}, 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{&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2], [0, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}]}]}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_placement&#34;, &#34;strategy_class&#34;: &#34;RequirementPlacementStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}], &#34;indices&#34;: [0], &#34;direction&#34;: 2, &#34;own_col&#34;: true, &#34;own_row&#34;: true, &#34;include_empty&#34;: false}}, &#34;idx&#34;: 0}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 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{&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}]}]}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 2], [2, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [2, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [2, 1, 0], 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2], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2], [0, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 2]]}]}]}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_placement&#34;, &#34;strategy_class&#34;: &#34;RequirementPlacementStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}], &#34;indices&#34;: [0], &#34;direction&#34;: 3, &#34;own_col&#34;: true, &#34;own_row&#34;: true, &#34;include_empty&#34;: false}}]}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;EquivalencePathRule&#34;, &#34;rules&#34;: [{&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, 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&#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}]}]}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.obstruction_inferral&#34;, &#34;strategy_class&#34;: &#34;ObstructionInferralStrategy&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]}}]}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;EquivalencePathRule&#34;, &#34;rules&#34;: [{&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;ReverseRule&#34;, &#34;original_rule&#34;: {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 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{&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}]}]}, &#34;children&#34;: 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&#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}]}]}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 2], [3, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [3, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [3, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [4, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [2, 2], [4, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [3, 2], [4, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [3, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [4, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [2, 2], [4, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [3, 2], [4, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 2], [2, 1]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[2, 1], [2, 2], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 2], [2, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 1], [2, 2], [2, 1], [2, 1]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[0, 2], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[0, 2], [2, 1], [2, 2], [2, 1]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[2, 2], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[0, 2], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[0, 2], [2, 2], [2, 1], [2, 1]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[2, 2], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 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&#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [2, 2], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 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{&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [2, 2], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 2], [2, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [2, 2], [2, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 1], [2, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [2, 1], [2, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [2, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 2]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 2]]}]}]}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_placement&#34;, &#34;strategy_class&#34;: &#34;RequirementPlacementStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], &#34;indices&#34;: [0], &#34;direction&#34;: 3, &#34;own_col&#34;: true, &#34;own_row&#34;: true, &#34;include_empty&#34;: false}}, &#34;idx&#34;: 0}]}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;EquivalencePathRule&#34;, &#34;rules&#34;: [{&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 2], [2, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], 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{&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}]}]}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [1, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2], [2, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 0], [0, 1], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 2], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 2], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 2], [0, 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0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 0], [0, 2], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}]}]}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.obstruction_inferral&#34;, &#34;strategy_class&#34;: &#34;ObstructionInferralStrategy&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}]}}]}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;EquivalencePathRule&#34;, &#34;rules&#34;: [{&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [2, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [3, 1], [3, 1]]}, 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0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}]}]}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 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[[0, 3], [0, 3], [0, 3], [3, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [4, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [2, 3], [4, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [3, 3], [4, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [4, 3], [4, 3]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 0], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 0], [0, 2], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 0], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 0], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 2], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 3], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 2], [0, 2], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 2], [0, 3], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [2, 3]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 2], [0, 2], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 3], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 3], [0, 2], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [2, 3]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 2], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 3], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 2], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 3], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [2, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 3], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 3], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [2, 3]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 2], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 3], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 3], [0, 0], [0, 2], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [2, 3]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 3], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 3], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [2, 3]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 0], [0, 2], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 0], [0, 0], [0, 2], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 0], [0, 0], [0, 3], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [2, 3]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 0], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 0], [0, 3], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [2, 3]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 3]]}]}]}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, 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3], [0, 3], [0, 3], [0, 3], [2, 3]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 3]]}]}]}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_placement&#34;, &#34;strategy_class&#34;: &#34;RequirementPlacementStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], &#34;indices&#34;: [0], &#34;direction&#34;: 0, &#34;own_col&#34;: true, &#34;own_row&#34;: true, &#34;include_empty&#34;: false}}, &#34;idx&#34;: 0}]}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;EquivalencePathRule&#34;, &#34;rules&#34;: [{&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, 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{&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 2], [2, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [2, 2], [2, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 1], [2, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [2, 1], [2, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [2, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 2]]}]}]}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 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&#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 2], [2, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 1], [2, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [2, 1], [2, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 2]]}]}]}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.obstruction_inferral&#34;, &#34;strategy_class&#34;: &#34;ObstructionInferralStrategy&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}]}}, &#34;idx&#34;: 0}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;ReverseRule&#34;, &#34;original_rule&#34;: {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}]}]}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 2], [3, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [3, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [3, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [4, 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{&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 2], [2, 1]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[2, 1], [2, 2], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 2], [2, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 1], [2, 2], [2, 1], [2, 1]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[0, 2], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[0, 2], [2, 1], [2, 2], [2, 1]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[2, 2], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [3, 2, 1, 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[0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 1], [2, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [2, 1], [2, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [2, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 2]]}]}]}], &#34;strategy&#34;: {&#34;class_module&#34;: 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[4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 2], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [4, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [4, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 0], [0, 2], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [4, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [4, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [4, 2], [4, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 2]]}]}]}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_placement&#34;, &#34;strategy_class&#34;: &#34;RequirementPlacementStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}], &#34;indices&#34;: [0], &#34;direction&#34;: 1, &#34;own_col&#34;: true, &#34;own_row&#34;: true, &#34;include_empty&#34;: false}}]}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;EquivalencePathRule&#34;, &#34;rules&#34;: [{&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 0], [3, 1], [3, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 0], [3, 1], [3, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 0], [3, 1], [3, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 1], [3, 1], [3, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 1], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 1], [3, 1], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [3, 1], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}]}]}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 1], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}]}]}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.obstruction_inferral&#34;, &#34;strategy_class&#34;: &#34;ObstructionInferralStrategy&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}]}}]}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;EquivalencePathRule&#34;, &#34;rules&#34;: [{&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]}]}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [3, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}]}]}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_placement&#34;, &#34;strategy_class&#34;: &#34;RequirementPlacementStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}], &#34;indices&#34;: [0], &#34;direction&#34;: 1, &#34;own_col&#34;: true, &#34;own_row&#34;: true, &#34;include_empty&#34;: false}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [3, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}]}]}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [4, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0], [4, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}]}]}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.row_and_col_separation&#34;, &#34;strategy_class&#34;: &#34;RowColumnSeparationStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;inferrable&#34;: true, &#34;possibly_empty&#34;: false, &#34;workable&#34;: true}}]}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;EquivalencePathRule&#34;, &#34;rules&#34;: [{&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], 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[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 4], [0, 2], [0, 2], [0, 4], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 2], [0, 4], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}]}]}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: 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[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 4], [1, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 4], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 4]]}]}]}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.row_and_col_separation&#34;, &#34;strategy_class&#34;: &#34;RowColumnSeparationStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;inferrable&#34;: true, &#34;possibly_empty&#34;: false, &#34;workable&#34;: true}}, &#34;idx&#34;: 0}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;ReverseRule&#34;, &#34;original_rule&#34;: {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: 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{&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 2], [0, 4], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}]}]}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_placement&#34;, &#34;strategy_class&#34;: &#34;RequirementPlacementStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}], &#34;indices&#34;: [0], &#34;direction&#34;: 0, &#34;own_col&#34;: true, &#34;own_row&#34;: true, &#34;include_empty&#34;: false}}, &#34;idx&#34;: 0}]}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;EquivalencePathRule&#34;, &#34;rules&#34;: [{&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [1, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 2], [2, 2], [2, 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[0, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2], [2, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [2, 2], [2, 2]]}, 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{&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 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[0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 0], [0, 2], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}]}]}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: 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2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 4], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 4], [0, 4], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 4], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 4], [0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 4], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 4], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 4], [0, 2], [0, 2], [0, 4], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 2], [0, 4], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}]}]}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 4], [3, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[4, 4], [4, 4], [4, 4]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[4, 4], [4, 4], [4, 4]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 2], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 2], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 2], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 4], [0, 4], [4, 4]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 4], [4, 4], [4, 4]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [4, 4]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 4], [0, 4], [4, 4], [4, 4]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 4], [0, 4], [4, 4]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 4], [4, 4], [4, 4]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [4, 4]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [4, 4], [4, 4]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 4], [0, 2], [0, 4], [0, 4]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 4], [0, 2], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 4], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 4], [0, 4], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 4], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 4], [0, 4], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 4], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 4], [0, 2], [0, 4], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 4], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 4], [0, 4], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 4], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 4], [0, 2], [0, 4], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 4], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 4], [0, 4], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 4], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 4], [0, 2], [0, 2], [0, 4], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 2], [0, 4], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 4]]}]}]}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.row_and_col_separation&#34;, &#34;strategy_class&#34;: &#34;RowColumnSeparationStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;inferrable&#34;: true, &#34;possibly_empty&#34;: false, &#34;workable&#34;: true}}]}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;EquivalencePathRule&#34;, &#34;rules&#34;: [{&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}]}]}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 3], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [2, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [2, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [2, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [2, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 1], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 3], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 3], [0, 3], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 3], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 3], [0, 3], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 3], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1], [0, 3], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 3], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1], [0, 3], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 1], [0, 3], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 3], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}]}]}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_placement&#34;, &#34;strategy_class&#34;: &#34;RequirementPlacementStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}], &#34;indices&#34;: [0], &#34;direction&#34;: 0, &#34;own_col&#34;: true, &#34;own_row&#34;: true, &#34;include_empty&#34;: false}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 3], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [2, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [2, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [2, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [2, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 1], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 3], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 3], [0, 3], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 3], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 3], [0, 3], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 3], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1], [0, 3], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 3], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1], [0, 3], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 1], [0, 3], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 3], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}]}]}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [3, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[4, 3], [4, 3], [4, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[4, 3], [4, 3], [4, 3]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [4, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 3], [4, 3], [4, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [4, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [4, 3], [4, 3]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [4, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [4, 3], [4, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [4, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [4, 3], [4, 3]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 1], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 3], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 3], [0, 3], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 3], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 3], [0, 3], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 3], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1], [0, 3], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 3], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1], [0, 3], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 1], [0, 3], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 3], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 3]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 3]]}]}]}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.row_and_col_separation&#34;, &#34;strategy_class&#34;: &#34;RowColumnSeparationStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;inferrable&#34;: true, &#34;possibly_empty&#34;: false, &#34;workable&#34;: true}}]}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;EquivalencePathRule&#34;, &#34;rules&#34;: [{&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;ReverseRule&#34;, &#34;original_rule&#34;: {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 3], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [2, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [2, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [2, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [2, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 1], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 3], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 3], [0, 3], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 3], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 3], [0, 3], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 3], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1], [0, 3], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 3], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1], [0, 3], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 1], [0, 3], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 3], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}]}]}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [3, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[4, 3], [4, 3], [4, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[4, 3], [4, 3], [4, 3]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [4, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 3], [4, 3], [4, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [4, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [4, 3], [4, 3]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [4, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [4, 3], [4, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [4, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [4, 3], [4, 3]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 1], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 3], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 3], [0, 3], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 3], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 3], [0, 3], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 3], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1], [0, 3], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 3], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1], [0, 3], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 1], [0, 3], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 3], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 3]]}]}]}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.row_and_col_separation&#34;, &#34;strategy_class&#34;: &#34;RowColumnSeparationStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;inferrable&#34;: true, &#34;possibly_empty&#34;: false, &#34;workable&#34;: true}}, &#34;idx&#34;: 0}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;ReverseRule&#34;, &#34;original_rule&#34;: {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}]}]}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 3], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [2, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [2, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [2, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [2, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 1], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 3], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 3], [0, 3], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 3], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 3], [0, 3], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 3], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1], [0, 3], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 3], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1], [0, 3], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 1], [0, 3], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 3], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}]}]}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_placement&#34;, &#34;strategy_class&#34;: &#34;RequirementPlacementStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}], &#34;indices&#34;: [0], &#34;direction&#34;: 0, &#34;own_col&#34;: true, &#34;own_row&#34;: true, &#34;include_empty&#34;: false}}, &#34;idx&#34;: 0}]}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;EquivalencePathRule&#34;, &#34;rules&#34;: [{&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [2, 1]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}]}]}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 3], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 3], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 3], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 3], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 4], [0, 3], [0, 4], [0, 4]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 4], [0, 3], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 4], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 4], [0, 4], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 4], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 4], [0, 4], [0, 3]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 4], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 3], [0, 4], [0, 3], [0, 4], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 4], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 4], [0, 4], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 4], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 4], [0, 3], [0, 4], [0, 3]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 4], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 4], [0, 4], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 4], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 4], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 4], [0, 3], [0, 3], [0, 4], [0, 3]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 4], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 3], [0, 4], [0, 3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 4], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}]}]}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_placement&#34;, &#34;strategy_class&#34;: &#34;RequirementPlacementStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}], &#34;indices&#34;: [0], &#34;direction&#34;: 0, &#34;own_col&#34;: true, &#34;own_row&#34;: true, &#34;include_empty&#34;: false}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 3], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 3], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 3], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 3], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 4], [0, 3], [0, 4], [0, 4]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 4], [0, 3], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 4], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 4], [0, 4], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 4], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 4], [0, 4], [0, 3]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 4], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 3], [0, 4], [0, 3], [0, 4], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 4], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 4], [0, 4], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 4], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 4], [0, 3], [0, 4], [0, 3]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 4], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 4], [0, 4], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 4], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 4], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 4], [0, 3], [0, 3], [0, 4], [0, 3]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 4], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 3], [0, 4], [0, 3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 4], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}]}]}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[4, 2], [4, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[4, 2], [4, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [3, 1]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 3], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 3], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 3], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 3], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 4], [0, 3], [0, 4], [0, 4]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 4], [0, 3], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 4], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 4], [0, 4], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 4], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 4], [0, 4], [0, 3]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 4], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 3], [0, 4], [0, 3], [0, 4], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 4], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 4], [0, 4], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 4], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 4], [0, 3], [0, 4], [0, 3]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 4], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 4], [0, 4], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 4], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 4], [0, 3], [0, 3], [0, 4], [0, 3]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 4], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 4], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 3], [0, 4], [0, 3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 4], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 4], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 2]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 2]]}]}]}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.row_and_col_separation&#34;, &#34;strategy_class&#34;: &#34;RowColumnSeparationStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;inferrable&#34;: true, &#34;possibly_empty&#34;: false, &#34;workable&#34;: true}}]}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;EquivalencePathRule&#34;, &#34;rules&#34;: [{&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [1, 0]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}]}]}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [2, 2]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 2], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 3], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 3], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}]}]}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_placement&#34;, &#34;strategy_class&#34;: &#34;RequirementPlacementStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}], &#34;indices&#34;: [0], &#34;direction&#34;: 2, &#34;own_col&#34;: true, &#34;own_row&#34;: true, &#34;include_empty&#34;: false}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [2, 2]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 2], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 3], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 3], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 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&#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}]}]}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [3, 2]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 2], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 3], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 3], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}]}]}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.row_and_col_separation&#34;, &#34;strategy_class&#34;: &#34;RowColumnSeparationStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;inferrable&#34;: true, &#34;possibly_empty&#34;: false, &#34;workable&#34;: true}}]}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;EquivalencePathRule&#34;, &#34;rules&#34;: [{&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}]}]}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [3, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 2], [3, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [3, 2]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[0, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[0, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [2, 2], [2, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}]}]}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_placement&#34;, &#34;strategy_class&#34;: &#34;RequirementPlacementStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], &#34;indices&#34;: [0], &#34;direction&#34;: 3, &#34;own_col&#34;: true, &#34;own_row&#34;: true, &#34;include_empty&#34;: false}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [3, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 2], [3, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [3, 2]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[0, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[0, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [2, 2], [2, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}]}]}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [4, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[4, 2], [4, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [4, 2]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[0, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[0, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [2, 2], [2, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 2]]}]}]}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.row_and_col_separation&#34;, &#34;strategy_class&#34;: &#34;RowColumnSeparationStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;inferrable&#34;: true, &#34;possibly_empty&#34;: false, &#34;workable&#34;: true}}]}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;EquivalencePathRule&#34;, &#34;rules&#34;: [{&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [3, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 0], [3, 1], [3, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 0], [3, 1], [3, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 1], [3, 1], [3, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [3, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 1], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 1], [3, 1], [3, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [3, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [3, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1], [1, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}]}]}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 2], [3, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 3], [3, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 3], [1, 3], [3, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 2], [3, 3], [3, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 3], [3, 3], [3, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 3], [1, 3], [3, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 3], [3, 2], [3, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 3], [3, 3], [3, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [3, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [1, 3], [3, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [3, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [1, 3], [3, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[0, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[0, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [1, 3]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [1, 3]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [1, 3]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [1, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [1, 3]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [1, 3]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [1, 3]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [1, 3]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [1, 3], [1, 3]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}]}]}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_placement&#34;, &#34;strategy_class&#34;: &#34;RequirementPlacementStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}], &#34;indices&#34;: [0], &#34;direction&#34;: 0, &#34;own_col&#34;: true, &#34;own_row&#34;: true, &#34;include_empty&#34;: false}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 2], [3, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 3], [3, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 3], [1, 3], [3, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 2], [3, 3], [3, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 3], [3, 3], [3, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 3], [1, 3], [3, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 3], [3, 2], [3, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 3], [3, 3], [3, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [3, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [1, 3], [3, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [3, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [1, 3], [3, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[0, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[0, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [1, 3]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [1, 3]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [1, 3]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [1, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [1, 3]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [1, 3]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [1, 3]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [1, 3]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [1, 3], [1, 3]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}]}]}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 3], [1, 3], [4, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 3], [4, 3], [4, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[4, 2], [4, 3], [4, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[4, 3], [4, 3], [4, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[4, 3], [4, 3], [4, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 3], [1, 3], [4, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 3], [4, 3], [4, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[4, 3], [4, 2], [4, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[4, 3], [4, 3], [4, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[4, 3], [4, 3], [4, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [4, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [1, 3], [4, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [4, 3], [4, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [4, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [1, 3], [4, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [4, 3], [4, 3]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[0, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[0, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [1, 3]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [1, 3]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [1, 3]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [1, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [1, 3]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [1, 3]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [1, 3]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [1, 3]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [1, 3], [1, 3]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 3]]}]}]}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.row_and_col_separation&#34;, &#34;strategy_class&#34;: &#34;RowColumnSeparationStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;inferrable&#34;: true, &#34;possibly_empty&#34;: false, &#34;workable&#34;: true}}]}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;EquivalencePathRule&#34;, &#34;rules&#34;: [{&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}]}]}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[0, 2], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[0, 2], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}]}]}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_placement&#34;, &#34;strategy_class&#34;: &#34;RequirementPlacementStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}], &#34;indices&#34;: [0], &#34;direction&#34;: 0, &#34;own_col&#34;: true, &#34;own_row&#34;: true, &#34;include_empty&#34;: false}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[0, 2], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[0, 2], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}]}]}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[4, 1], [4, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 0], [3, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[4, 1], [4, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[0, 2], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[0, 2], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [1, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [1, 0], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [1, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [1, 0], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [2, 0], [2, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 1]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 1]]}]}]}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.row_and_col_separation&#34;, &#34;strategy_class&#34;: &#34;RowColumnSeparationStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;inferrable&#34;: true, &#34;possibly_empty&#34;: false, &#34;workable&#34;: true}}]}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;EquivalencePathRule&#34;, &#34;rules&#34;: [{&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]}]}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 3], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 3], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 1]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}]}]}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_placement&#34;, &#34;strategy_class&#34;: &#34;RequirementPlacementStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], &#34;indices&#34;: [0], &#34;direction&#34;: 0, &#34;own_col&#34;: true, &#34;own_row&#34;: true, &#34;include_empty&#34;: false}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 3], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 3], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 1]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}]}]}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 1], [2, 3], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 3], [2, 3], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 3], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 3], [2, 3], [2, 1]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3], [2, 3]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}]}]}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.row_and_col_separation&#34;, &#34;strategy_class&#34;: &#34;RowColumnSeparationStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;inferrable&#34;: true, &#34;possibly_empty&#34;: false, &#34;workable&#34;: true}}]}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;EquivalencePathRule&#34;, &#34;rules&#34;: [{&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;ReverseRule&#34;, &#34;original_rule&#34;: {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}]}]}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [3, 2], [3, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 0], [3, 2], [3, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 2], [3, 2], [3, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 2], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 2], [3, 2], [3, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [3, 2], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0], [3, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}]}]}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_placement&#34;, &#34;strategy_class&#34;: &#34;RequirementPlacementStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], &#34;indices&#34;: [0], &#34;direction&#34;: 1, &#34;own_col&#34;: true, &#34;own_row&#34;: true, &#34;include_empty&#34;: false}}, &#34;idx&#34;: 0}]}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;EquivalencePathRule&#34;, &#34;rules&#34;: [{&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;ReverseRule&#34;, &#34;original_rule&#34;: {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [4, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 0], [4, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 2], [4, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 2], [4, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[4, 0], [4, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[4, 2], [4, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[4, 2], [4, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [3, 2], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [4, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 0], [3, 2], [3, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 2], [3, 2], [3, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 2], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 2], [3, 2], [3, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [3, 2], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0], [3, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 2]]}]}]}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [4, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 0], [4, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 2], [4, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[4, 0], [4, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[5, 3], [5, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [3, 2], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [4, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 0], [3, 2], [3, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 2], [3, 2], [3, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 2], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 2], [3, 2], [3, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [3, 2], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0], [3, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 3]]}]}]}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.row_and_col_separation&#34;, &#34;strategy_class&#34;: &#34;RowColumnSeparationStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;inferrable&#34;: true, &#34;possibly_empty&#34;: false, &#34;workable&#34;: true}}, &#34;idx&#34;: 0}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;ReverseRule&#34;, &#34;original_rule&#34;: {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}]}]}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [4, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 0], [4, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 2], [4, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 2], [4, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[4, 0], [4, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[4, 2], [4, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[4, 2], [4, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [3, 2], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [4, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 0], [3, 2], [3, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 2], [3, 2], [3, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 2], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 2], [3, 2], [3, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [3, 2], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0], [3, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 2]]}]}]}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_placement&#34;, &#34;strategy_class&#34;: &#34;RequirementPlacementStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], &#34;indices&#34;: [0], &#34;direction&#34;: 1, &#34;own_col&#34;: true, &#34;own_row&#34;: true, &#34;include_empty&#34;: false}}, &#34;idx&#34;: 0}]}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;EquivalencePathRule&#34;, &#34;rules&#34;: [{&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}]}]}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [1, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 2], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 2], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 2], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 2], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 0], [0, 2], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}]}]}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_placement&#34;, &#34;strategy_class&#34;: &#34;RequirementPlacementStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}], &#34;indices&#34;: [0], &#34;direction&#34;: 0, &#34;own_col&#34;: true, &#34;own_row&#34;: true, &#34;include_empty&#34;: false}}]}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;EquivalencePathRule&#34;, &#34;rules&#34;: [{&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]}]}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], 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[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 3], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 3], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 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&#34;pos&#34;: [[0, 3], [0, 0], [0, 0], [0, 3], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 1], [0, 3], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 0], [0, 3], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 3], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}]}]}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_placement&#34;, &#34;strategy_class&#34;: &#34;RequirementPlacementStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}], &#34;indices&#34;: [0], &#34;direction&#34;: 3, &#34;own_col&#34;: true, &#34;own_row&#34;: true, &#34;include_empty&#34;: false}}]}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;EquivalencePathRule&#34;, &#34;rules&#34;: [{&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}]}]}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 3], [3, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 3], [3, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 3], [3, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 3], [3, 3]]}, {&#34;patt&#34;: 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2], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}]}]}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: 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[0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}]}]}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.obstruction_inferral&#34;, &#34;strategy_class&#34;: &#34;ObstructionInferralStrategy&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}]}}]}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: 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{&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}]}]}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], 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{&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}]}]}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.obstruction_inferral&#34;, &#34;strategy_class&#34;: &#34;ObstructionInferralStrategy&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}]}}]}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;EquivalencePathRule&#34;, &#34;rules&#34;: [{&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]}]}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [3, 3], [3, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [3, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [3, 3], [3, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 1], [3, 3], [3, 1]]}, 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0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 3], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}]}]}], &#34;strategy&#34;: {&#34;class_module&#34;: 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3], [0, 3], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 1], [0, 3], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 3], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}]}]}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [4, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [4, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [4, 3], [4, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [4, 1], [4, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [4, 3], [4, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[4, 1], [4, 3], [4, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[4, 3], [4, 3], [4, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[4, 3], [4, 3], [4, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[4, 3], [4, 1], [4, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[4, 3], [4, 3], [4, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[4, 3], [4, 3], [4, 3]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [4, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 3], [4, 3], [4, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [4, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [4, 3], [4, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [4, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [4, 3], [4, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [4, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [4, 3], [4, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 1], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [1, 0], [1, 0], [3, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [1, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 3], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 3], [0, 3], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 3], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 3], [0, 3], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 3], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1], [0, 3], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 3], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1], [0, 3], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 1], [0, 3], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 3], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 3]]}]}]}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.row_and_col_separation&#34;, &#34;strategy_class&#34;: &#34;RowColumnSeparationStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;inferrable&#34;: true, &#34;possibly_empty&#34;: false, &#34;workable&#34;: true}}]}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;EquivalencePathRule&#34;, &#34;rules&#34;: [{&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 2], [3, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [3, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [3, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [3, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}]}]}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [3, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [4, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [4, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [4, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [4, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 2]]}]}]}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.row_and_col_separation&#34;, &#34;strategy_class&#34;: &#34;RowColumnSeparationStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;inferrable&#34;: true, &#34;possibly_empty&#34;: false, &#34;workable&#34;: true}}]}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;EquivalencePathRule&#34;, &#34;rules&#34;: [{&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}]}]}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 1], [3, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 3], [3, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 3], [3, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 3], [3, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 0], [2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 0], [2, 3], [3, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 3], [3, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 3], [3, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 3], [2, 3], [3, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 3], [2, 3], [4, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 3], [3, 3], [4, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 3], [4, 3], [4, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 1], [4, 3], [4, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 3], [4, 3], [4, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 3], [4, 3], [4, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[4, 1], [4, 3], [4, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[4, 3], [4, 3], [4, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[4, 3], [4, 3], [4, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 3], [2, 3], [3, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 3], [2, 3], [4, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 3], [3, 3], [4, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 3], [4, 3], [4, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 3], [4, 1], [4, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 3], [4, 3], [4, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 3], [4, 3], [4, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[4, 3], [4, 1], [4, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[4, 3], [4, 3], [4, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[4, 3], [4, 3], [4, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [3, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [4, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [2, 3], [3, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [2, 3], [4, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [3, 3], [4, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [4, 3], [4, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 3], [4, 3], [4, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [3, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [4, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [2, 3], [3, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [2, 3], [4, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [3, 3], [4, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [4, 3], [4, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 3], [4, 1], [4, 1]]}, {&#34;patt&#34;: [0, 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[0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [2, 3]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [2, 3]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [2, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [2, 3]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [2, 3]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [2, 3]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [2, 0], [2, 0], [2, 3], [2, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[2, 3], [2, 0], [2, 0], [2, 3], [2, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [2, 3]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [2, 0], [2, 3], [2, 0], [2, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[2, 3], [2, 0], [2, 3], [2, 0], [2, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 3]]}]}]}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_placement&#34;, &#34;strategy_class&#34;: &#34;RequirementPlacementStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], &#34;indices&#34;: [0], &#34;direction&#34;: 3, &#34;own_col&#34;: true, &#34;own_row&#34;: true, &#34;include_empty&#34;: false}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 1], [3, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 3], [3, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 3], [3, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 3], [3, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 0], [2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 0], [2, 3], [3, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 3], [3, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 3], [3, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 3], [2, 3], [3, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 3], [2, 3], [4, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 3], [3, 3], [4, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 3], [4, 3], [4, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 1], [4, 3], [4, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 3], [4, 3], [4, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 3], [4, 3], [4, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[4, 1], [4, 3], [4, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[4, 3], [4, 3], [4, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: 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3], [2, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [2, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [2, 3]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [2, 3]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [2, 3]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [2, 0], [2, 0], [2, 3], [2, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[2, 3], [2, 0], [2, 0], [2, 3], [2, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [2, 3]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [2, 0], [2, 3], [2, 0], [2, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[2, 3], [2, 0], [2, 3], [2, 0], [2, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 3]]}]}]}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 3], [3, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[4, 1], [4, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 3], [3, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 3], [4, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[4, 1], [4, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 0], [2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 0], [2, 3], [3, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 3], [3, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 3], [4, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 3], [2, 3], [3, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 3], [2, 3], [5, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 3], [3, 3], [5, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 3], [5, 3], [5, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 3], [5, 3], [5, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 3], [5, 3], [5, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[4, 1], [5, 1], [5, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[4, 1], [5, 3], [5, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[5, 1], [5, 1], [5, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[5, 1], [5, 3], [5, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[5, 3], [5, 3], [5, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[5, 3], [5, 3], [5, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 3], [2, 3], [3, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 3], [2, 3], [5, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 3], [3, 3], [5, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 3], [5, 3], [5, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 3], [5, 1], [5, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 3], [5, 3], [5, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 3], [5, 3], [5, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[4, 1], [5, 1], [5, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[5, 1], [5, 1], [5, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[5, 3], [5, 1], [5, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[5, 3], [5, 3], [5, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[5, 3], [5, 3], [5, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [3, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [5, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [2, 3], [3, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [2, 3], [5, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [3, 3], [5, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [5, 3], [5, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 3], [5, 3], [5, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [3, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [5, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [2, 3], [3, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [2, 3], [5, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [3, 3], [5, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [5, 3], [5, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 3], [5, 1], [5, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 3], [5, 3], [5, 1]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[0, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[0, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [2, 3]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [2, 3]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [2, 3]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [2, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [2, 3]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [2, 3]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [2, 3]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [2, 0], [2, 0], [2, 3], [2, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[2, 3], [2, 0], [2, 0], [2, 3], [2, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [2, 3]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [2, 0], [2, 3], [2, 0], [2, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[2, 3], [2, 0], [2, 3], [2, 0], [2, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 1]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 3]]}]}]}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.row_and_col_separation&#34;, &#34;strategy_class&#34;: &#34;RowColumnSeparationStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;inferrable&#34;: true, &#34;possibly_empty&#34;: false, &#34;workable&#34;: true}}]}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;EquivalencePathRule&#34;, &#34;rules&#34;: [{&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}]}]}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 3], [3, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 3], [3, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 3], [3, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 3], [3, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 3], [2, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 3], [3, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 3], [2, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 3], [3, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 3], [2, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 3], [3, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [2, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [3, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 3], [4, 3], [4, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 3], [4, 3], [4, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[4, 3], [4, 3], [4, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 3], [4, 3], [4, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 3], [4, 3], [4, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[4, 3], [4, 3], [4, 3]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [0, 3]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 3], [4, 3], [4, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 3], [4, 3], [4, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [3, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [4, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [2, 3], [4, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [3, 3], [4, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [4, 3], [4, 3]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 3], [4, 3], [4, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [4, 3], [4, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [3, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [4, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [2, 3], [4, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [3, 3], [4, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [4, 3], [4, 3]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 0], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 0], [0, 2], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 0], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 0], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 2], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 3], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 2], [0, 2], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 2], [0, 3], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [2, 3]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 2], [0, 2], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 3], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 3], [0, 2], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [2, 3]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], 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3], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [2, 3]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 3]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 3]]}]}]}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_placement&#34;, &#34;strategy_class&#34;: &#34;RequirementPlacementStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], &#34;indices&#34;: [0], &#34;direction&#34;: 0, 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{&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 0], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 0], [0, 3], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}]}]}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.obstruction_inferral&#34;, &#34;strategy_class&#34;: &#34;ObstructionInferralStrategy&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}]}}]}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;EquivalencePathRule&#34;, &#34;rules&#34;: [{&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [2, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 2], [1, 2], [2, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 2], [1, 2], [3, 2]]}, 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2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [1, 0], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[1, 2], [1, 0], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [1, 0], [1, 2], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[1, 2], [1, 0], [1, 2], [1, 0], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}]}]}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [1, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 4], [1, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [3, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 4], [1, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 4], [3, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 2], [3, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 4], [3, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 4], [3, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 4], [1, 4]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 4], [1, 4]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 4], [3, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 4], [3, 4], [3, 4]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 4], [3, 4], [3, 4]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 4], [3, 4], [3, 4]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 4], [3, 4], [3, 4]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 4], [3, 4], [3, 4]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [3, 4]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 4], [0, 4], [1, 4], [3, 4]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 4], [0, 4], [3, 4], [3, 4]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 4], [3, 4], [3, 4]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [3, 4]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [1, 4], [3, 4]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [3, 4], [3, 4]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 4], [1, 2]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[1, 2], [1, 4], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 4], [1, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 2], [1, 4], [1, 2], [1, 2]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[0, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[0, 4], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[0, 4], [1, 2], [1, 4], [1, 2]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[1, 4], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[0, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[0, 4], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[0, 4], [1, 4], [1, 2], [1, 2]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[1, 4], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 4], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 4], [1, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [1, 4], [1, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2], [1, 4], [1, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [1, 4]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 4], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 4], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 4], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [1, 4], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [1, 4]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 4], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 4], [1, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 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{&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [1, 4], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [1, 4]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 4], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 4], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 4], [0, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [1, 4]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 4], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 4], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 4], [0, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [1, 4]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 4], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 4], [0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 4], [0, 2], [0, 2], [0, 4], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 4], [0, 2], [0, 2], [0, 4], [1, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 4], [0, 2], [0, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 4], [0, 2], [0, 2], [1, 4], [1, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [1, 4]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 2], [0, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 2], [0, 4], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 2], [0, 4], [0, 2], [1, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 2], [0, 4], [1, 2], [1, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [1, 4]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 4]]}]}]}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_placement&#34;, &#34;strategy_class&#34;: &#34;RequirementPlacementStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}], &#34;indices&#34;: [0], &#34;direction&#34;: 0, &#34;own_col&#34;: true, &#34;own_row&#34;: true, &#34;include_empty&#34;: false}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [1, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 4], [1, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [3, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 4], [1, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 4], [3, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 2], [3, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 4], [3, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 4], [3, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 4], [1, 4]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 4], [1, 4]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 4], [3, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 4], [3, 4], [3, 4]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 4], [3, 4], [3, 4]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 4], [3, 4], [3, 4]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 4], [3, 4], [3, 4]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 4], [3, 4], [3, 4]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [3, 4]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 4], [0, 4], [1, 4], [3, 4]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 4], [0, 4], [3, 4], [3, 4]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 4], [3, 4], [3, 4]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [3, 4]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [1, 4], [3, 4]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [3, 4], [3, 4]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 4], [1, 2]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[1, 2], [1, 4], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 4], [1, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 2], [1, 4], [1, 2], [1, 2]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[0, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[0, 4], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[0, 4], [1, 2], [1, 4], [1, 2]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[1, 4], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[0, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[0, 4], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[0, 4], [1, 4], [1, 2], [1, 2]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[1, 4], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 4], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 4], [1, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [1, 4], [1, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2], [1, 4], [1, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: 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{&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 4], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 4], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 4], [0, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [1, 4]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 4], [0, 2], [0, 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[0, 2], [0, 4], [1, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 4], [0, 2], [0, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 4], [0, 2], [0, 2], [1, 4], [1, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [1, 4]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 2], [0, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 2], [0, 4], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 2], [0, 4], [0, 2], [1, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 2], [0, 4], [1, 2], [1, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [1, 4]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 4]]}]}]}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], 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{&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[6, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[6, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[6, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[6, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 4], [1, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 3], [3, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [5, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 4], [1, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 4], [5, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 3], [3, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[4, 1], [4, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[5, 2], [5, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 4], [1, 4]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [5, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 4], [0, 4]]}, 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[0, 4], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [1, 4], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [1, 4]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 4], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 4], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 4], [0, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [1, 4]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 4], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 4], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 4], [0, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [1, 4]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 4], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 4], [0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 4], [0, 2], [0, 2], [0, 4], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 4], [0, 2], [0, 2], [0, 4], [1, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 4], [0, 2], [0, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 4], [0, 2], [0, 2], [1, 4], [1, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [1, 4]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 2], [0, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 2], [0, 4], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 2], [0, 4], [0, 2], [1, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 2], [0, 4], [1, 2], [1, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [1, 4]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[6, 4]]}]}]}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.row_and_col_separation&#34;, &#34;strategy_class&#34;: &#34;RowColumnSeparationStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;inferrable&#34;: true, &#34;possibly_empty&#34;: false, &#34;workable&#34;: true}}]}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;EquivalencePathRule&#34;, &#34;rules&#34;: [{&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}]}]}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 2], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 2], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 0], [0, 2], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}]}]}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_placement&#34;, &#34;strategy_class&#34;: &#34;RequirementPlacementStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}], &#34;indices&#34;: [0], &#34;direction&#34;: 0, &#34;own_col&#34;: true, &#34;own_row&#34;: true, &#34;include_empty&#34;: false}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 2], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 2], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 0], [0, 2], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}]}]}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [3, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 2], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 2], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 0], [0, 2], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}]}]}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.row_and_col_separation&#34;, &#34;strategy_class&#34;: &#34;RowColumnSeparationStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;inferrable&#34;: true, &#34;possibly_empty&#34;: false, &#34;workable&#34;: true}}]}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;EquivalencePathRule&#34;, &#34;rules&#34;: [{&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 2], [1, 2], [3, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 1], [3, 2], [3, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 1], [3, 2], [3, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 2], [3, 2], [3, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 2], [1, 2], [3, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 2], [3, 1], [3, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 2], [3, 2], [3, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [3, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2], [3, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[0, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[0, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [1, 2], [1, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}]}]}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 2], [1, 2], [4, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 1], [4, 2], [4, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[4, 1], [4, 2], [4, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[4, 2], [4, 2], [4, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 2], [1, 2], [4, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[4, 2], [4, 1], [4, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[4, 2], [4, 2], [4, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [4, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2], [4, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [4, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2], [4, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[0, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[0, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [1, 2], [1, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 2]]}]}]}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.row_and_col_separation&#34;, &#34;strategy_class&#34;: &#34;RowColumnSeparationStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;inferrable&#34;: true, &#34;possibly_empty&#34;: false, &#34;workable&#34;: true}}]}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;EquivalencePathRule&#34;, &#34;rules&#34;: [{&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}]}]}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [2, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [3, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [3, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [3, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [3, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 2], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 3], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 3], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}]}]}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_placement&#34;, &#34;strategy_class&#34;: &#34;RequirementPlacementStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}], &#34;indices&#34;: [0], &#34;direction&#34;: 2, &#34;own_col&#34;: true, &#34;own_row&#34;: true, &#34;include_empty&#34;: false}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [2, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [3, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [3, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [3, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [3, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 2], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 3], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 3], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}]}]}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [3, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[4, 3], [4, 3], [4, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[4, 3], [4, 3], [4, 3]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [4, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 3], [4, 3], [4, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [4, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [4, 3], [4, 3]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [4, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [4, 3], [4, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [4, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [4, 3], [4, 3]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 2], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 3], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 3], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 3]]}]}]}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.row_and_col_separation&#34;, &#34;strategy_class&#34;: &#34;RowColumnSeparationStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;inferrable&#34;: true, &#34;possibly_empty&#34;: false, &#34;workable&#34;: true}}]}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;EquivalencePathRule&#34;, &#34;rules&#34;: [{&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 1], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}]}]}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [2, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 3], [2, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 2], [2, 3], [2, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 3], [2, 3], [2, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 3], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 3], [2, 3], [2, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 2], [2, 3], [2, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [2, 3], [2, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 2], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 2], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 0], [0, 2], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}]}]}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_placement&#34;, &#34;strategy_class&#34;: &#34;RequirementPlacementStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}], &#34;indices&#34;: [0], &#34;direction&#34;: 0, &#34;own_col&#34;: true, &#34;own_row&#34;: true, &#34;include_empty&#34;: false}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [2, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 3], [2, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 2], [2, 3], [2, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 3], [2, 3], [2, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 3], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 3], [2, 3], [2, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 2], [2, 3], [2, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [2, 3], [2, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 2], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 2], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 0], [0, 2], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}]}]}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 2], [3, 3], [3, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 3], [3, 3], [3, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 3], [3, 2], [3, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 3], [3, 3], [3, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 2], [3, 3], [3, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [3, 3], [3, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [3, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 2], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 2], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 0], [0, 2], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}]}]}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.row_and_col_separation&#34;, &#34;strategy_class&#34;: &#34;RowColumnSeparationStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;inferrable&#34;: true, &#34;possibly_empty&#34;: false, &#34;workable&#34;: true}}]}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;EquivalencePathRule&#34;, &#34;rules&#34;: [{&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;ReverseRule&#34;, &#34;original_rule&#34;: {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 0], [2, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [2, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 2], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [3, 2], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [3, 3], [3, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 0], [3, 2], [3, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 0], [3, 3], [3, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 2], [3, 2], [3, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 2], [3, 3], [3, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 2], [3, 3], [3, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 0], [3, 2], [3, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 0], [3, 3], [3, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 2], [3, 2], [3, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 2], [3, 3], [3, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 2], [3, 3], [3, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 3], [3, 3], [3, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 3], [3, 3], [3, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 2], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 2], [3, 2], [3, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 2], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 2], [3, 2], [3, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 3], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 3], [3, 2], [3, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 3], [3, 2], [3, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 3], [3, 3], [3, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 3], [3, 3], [3, 2]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 2], [2, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 2], [3, 3], [3, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [2, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [3, 3], [3, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [3, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [2, 2], [3, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [3, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [2, 2], [3, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 2], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 2], [0, 2], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 2], [0, 2], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 2], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 2], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 2], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 0], [0, 2], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}]}]}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [3, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [4, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 2], [4, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [3, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [4, 2], [4, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [4, 3], [4, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 2], [4, 2], [4, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 2], [4, 3], [4, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 2], [4, 3], [4, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 0], [4, 2], [4, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 0], [4, 3], [4, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[4, 0], [4, 2], [4, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[4, 0], [4, 3], [4, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[4, 2], [4, 2], [4, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[4, 2], [4, 3], [4, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[4, 2], [4, 3], [4, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[4, 3], [4, 3], [4, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[4, 3], [4, 3], [4, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 2], [4, 0], [4, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 2], [4, 2], [4, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[4, 2], [4, 0], [4, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[4, 2], [4, 2], [4, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[4, 3], [4, 0], [4, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[4, 3], [4, 2], [4, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[4, 3], [4, 2], [4, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[4, 3], [4, 3], [4, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[4, 3], [4, 3], [4, 2]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [4, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 2], [2, 2], [4, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 2], [4, 3], [4, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [4, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [2, 2], [4, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [4, 3], [4, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [4, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [2, 2], [4, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [4, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [2, 2], [4, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[4, 3], [4, 3], [4, 3], [4, 3]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[4, 3], [4, 3], [4, 3], [4, 3]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[4, 3], [4, 3], [4, 3], [4, 3]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[4, 3], [4, 3], [4, 3], [4, 3]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[4, 3], [4, 3], [4, 3], [4, 3]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[4, 3], [4, 3], [4, 3], [4, 3]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 2], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 2], [0, 2], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 2], [0, 2], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 2], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 2], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 2], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 0], [0, 2], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 3]]}]}]}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.row_and_col_separation&#34;, &#34;strategy_class&#34;: &#34;RowColumnSeparationStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;inferrable&#34;: true, &#34;possibly_empty&#34;: false, &#34;workable&#34;: true}}, &#34;idx&#34;: 0}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;ReverseRule&#34;, &#34;original_rule&#34;: {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 1], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}]}]}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 0], [2, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [2, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 2], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [3, 2], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [3, 3], [3, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 0], [3, 2], [3, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 0], [3, 3], [3, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 2], [3, 2], [3, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 2], [3, 3], [3, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 2], [3, 3], [3, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 0], [3, 2], [3, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 0], [3, 3], [3, 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{&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 3], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 3], [3, 2], [3, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 3], [3, 2], [3, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 3], [3, 3], [3, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 3], [3, 3], [3, 2]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 2], [2, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 2], [3, 2], [3, 2]]}, 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4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 0], [0, 2], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}]}]}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_placement&#34;, &#34;strategy_class&#34;: &#34;RequirementPlacementStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], &#34;indices&#34;: [0], &#34;direction&#34;: 0, &#34;own_col&#34;: true, &#34;own_row&#34;: true, &#34;include_empty&#34;: false}}, &#34;idx&#34;: 0}]}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;EquivalencePathRule&#34;, &#34;rules&#34;: [{&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, 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[0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}]}]}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 3], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 2], [2, 2], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 2], [2, 3], [2, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 2], [2, 3], [2, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 3], [2, 3], [2, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 2], [2, 2], [2, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 3], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 3], [2, 3], [2, 2]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [1, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [2, 3], [2, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [2, 3], [2, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [1, 2], [2, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2], [2, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}]}]}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.row_and_col_separation&#34;, &#34;strategy_class&#34;: &#34;RowColumnSeparationStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;inferrable&#34;: true, &#34;possibly_empty&#34;: false, &#34;workable&#34;: true}}, &#34;idx&#34;: 0}]}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;EquivalencePathRule&#34;, &#34;rules&#34;: [{&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 1], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}]}]}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [2, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 3], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 2], [2, 3], [2, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 3], [2, 3], [2, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 3], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 3], [2, 3], [2, 2]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 2], [2, 3], [2, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [2, 3], [2, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 2], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 2], [0, 2], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 2], [0, 2], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 2], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 2], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 2], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 0], [0, 2], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}]}]}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_placement&#34;, &#34;strategy_class&#34;: &#34;RequirementPlacementStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}], &#34;indices&#34;: [0], &#34;direction&#34;: 0, &#34;own_col&#34;: true, &#34;own_row&#34;: true, &#34;include_empty&#34;: false}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [2, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 3], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 2], [2, 3], [2, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 3], [2, 3], [2, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 3], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 3], [2, 3], [2, 2]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 2], [2, 3], [2, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [2, 3], [2, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 2], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 2], [0, 2], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 2], [0, 2], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 2], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 2], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 2], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 0], [0, 2], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}]}]}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 2], [3, 3], [3, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 3], [3, 3], [3, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 3], [3, 2], [3, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 3], [3, 3], [3, 2]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 2], [3, 3], [3, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [3, 3], [3, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [3, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [3, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 2], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 2], [0, 2], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 2], [0, 2], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 2], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 2], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 2], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 0], [0, 2], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}]}]}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.row_and_col_separation&#34;, &#34;strategy_class&#34;: &#34;RowColumnSeparationStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;inferrable&#34;: true, &#34;possibly_empty&#34;: false, &#34;workable&#34;: true}}]}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;EquivalencePathRule&#34;, &#34;rules&#34;: [{&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[1, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[1, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[1, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[1, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[1, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}]}]}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 1], [2, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 3], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 1], [2, 3], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 3], [2, 3], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 3], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 3], [2, 3], [2, 1]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}]}]}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_placement&#34;, &#34;strategy_class&#34;: &#34;RequirementPlacementStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}], &#34;indices&#34;: [0], &#34;direction&#34;: 0, &#34;own_col&#34;: true, &#34;own_row&#34;: true, &#34;include_empty&#34;: false}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 1], [2, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 3], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 1], [2, 3], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 3], [2, 3], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 3], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 3], [2, 3], [2, 1]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}]}]}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 1], [3, 3], [3, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 3], [3, 3], [3, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 3], [3, 1], [3, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 3], [3, 3], [3, 1]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}]}]}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.row_and_col_separation&#34;, &#34;strategy_class&#34;: &#34;RowColumnSeparationStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;inferrable&#34;: true, &#34;possibly_empty&#34;: false, &#34;workable&#34;: true}}]}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;EquivalencePathRule&#34;, &#34;rules&#34;: [{&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;ReverseRule&#34;, &#34;original_rule&#34;: {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [3, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 2], [3, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [3, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 3], [3, 3], [3, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 3], [3, 3], [3, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 3], [3, 3], [3, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 3], [3, 3], [3, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 3], [3, 3], [3, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 3], [3, 3], [3, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 3], [3, 3], [3, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 3], [3, 3], [3, 2]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[2, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[2, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[2, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[2, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[2, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 2], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 2], [0, 2], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 2], [0, 2], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 2], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 2], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 2], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 0], [0, 2], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}]}]}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 4], [2, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 4], [2, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 3], [3, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 3], [3, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [3, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [3, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 4], [3, 4], [3, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 4], [3, 4], [3, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 4], [3, 4], [3, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 4], [3, 4], [3, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 4], [3, 4], [3, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 4], [3, 4], [3, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 4], [3, 4], [3, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 4], [3, 4], [3, 3]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[2, 4], [3, 4], [3, 4], [3, 4]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[3, 4], [3, 4], [3, 4], [3, 4]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[2, 4], [3, 4], [3, 4], [3, 4]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[3, 4], [3, 4], [3, 4], [3, 4]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[2, 4], [3, 4], [3, 4], [3, 4]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[3, 4], [3, 4], [3, 4], [3, 4]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 4], [3, 4], [3, 4], [3, 4]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[3, 4], [3, 4], [3, 4], [3, 4]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 1], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[2, 4], [3, 4], [3, 4], [3, 4]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[3, 4], [3, 4], [3, 4], [3, 4]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[2, 4], [3, 4], [3, 4], [3, 4]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[3, 4], [3, 4], [3, 4], [3, 4]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 3], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 3], [0, 3], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 3], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 3], [0, 3], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 3], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1], [0, 3], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 3], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1], [0, 3], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 1], [0, 3], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 3], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 4]]}]}]}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.row_and_col_separation&#34;, &#34;strategy_class&#34;: &#34;RowColumnSeparationStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;inferrable&#34;: true, &#34;possibly_empty&#34;: false, &#34;workable&#34;: true}}, &#34;idx&#34;: 0}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;ReverseRule&#34;, &#34;original_rule&#34;: {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[1, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[1, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[1, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[1, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[1, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}]}]}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [3, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 2], [3, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [3, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 3], [3, 3], [3, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 3], [3, 3], [3, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 3], [3, 3], [3, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 3], [3, 3], [3, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 3], [3, 3], [3, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 3], [3, 3], [3, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 3], [3, 3], [3, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 3], [3, 3], [3, 2]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[2, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[2, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[2, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[2, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[2, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 2], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 2], [0, 2], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 2], [0, 2], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 2], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 2], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 2], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 0], [0, 2], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}]}]}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_placement&#34;, &#34;strategy_class&#34;: &#34;RequirementPlacementStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], &#34;indices&#34;: [0], &#34;direction&#34;: 0, &#34;own_col&#34;: true, &#34;own_row&#34;: true, &#34;include_empty&#34;: false}}, &#34;idx&#34;: 0}]}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;EquivalencePathRule&#34;, &#34;rules&#34;: [{&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 1], [2, 2], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 2], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 1]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [2, 2], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [2, 2], [2, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}]}]}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [2, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 3], [3, 4], [3, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 4], [3, 4], [3, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 4], [3, 3], [3, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 4], [3, 4], [3, 3]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [3, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 3], [3, 4], [3, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [3, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [3, 4], [3, 3]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [3, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [3, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[3, 4], [3, 4], [3, 4], [3, 4]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[3, 4], [3, 4], [3, 4], [3, 4]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[3, 4], [3, 4], [3, 4], [3, 4]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[3, 4], [3, 4], [3, 4], [3, 4]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 2], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[3, 4], [3, 4], [3, 4], [3, 4]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[3, 4], [3, 4], [3, 4], [3, 4]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 3], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 3], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 4]]}]}]}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_placement&#34;, &#34;strategy_class&#34;: &#34;RequirementPlacementStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}], &#34;indices&#34;: [0], &#34;direction&#34;: 2, &#34;own_col&#34;: true, &#34;own_row&#34;: true, &#34;include_empty&#34;: false}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [2, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 3], [3, 4], [3, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 4], [3, 4], [3, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 4], [3, 3], [3, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 4], [3, 4], [3, 3]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [3, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 3], [3, 4], [3, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [3, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [3, 4], [3, 3]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [3, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [3, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[3, 4], [3, 4], [3, 4], [3, 4]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[3, 4], [3, 4], [3, 4], [3, 4]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[3, 4], [3, 4], [3, 4], [3, 4]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[3, 4], [3, 4], [3, 4], [3, 4]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 2], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[3, 4], [3, 4], [3, 4], [3, 4]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[3, 4], [3, 4], [3, 4], [3, 4]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 3], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 3], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 4]]}]}]}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [3, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[4, 3], [4, 3], [4, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[4, 3], [4, 4], [4, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[4, 4], [4, 4], [4, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[4, 3], [4, 3], [4, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[4, 4], [4, 3], [4, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[4, 4], [4, 4], [4, 3]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [4, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 3], [4, 3], [4, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 3], [4, 4], [4, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [4, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [4, 3], [4, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [4, 4], [4, 3]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [4, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [4, 3], [4, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [4, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [4, 3], [4, 3]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[4, 4], [4, 4], [4, 4], [4, 4]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[4, 4], [4, 4], [4, 4], [4, 4]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[4, 4], [4, 4], [4, 4], [4, 4]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[4, 4], [4, 4], [4, 4], [4, 4]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 2], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[4, 4], [4, 4], [4, 4], [4, 4]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[4, 4], [4, 4], [4, 4], [4, 4]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 3], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 3], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 4]]}]}]}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.row_and_col_separation&#34;, &#34;strategy_class&#34;: &#34;RowColumnSeparationStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;inferrable&#34;: true, &#34;possibly_empty&#34;: false, &#34;workable&#34;: true}}]}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;EquivalencePathRule&#34;, &#34;rules&#34;: [{&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 2], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 2], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 2], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 2], [1, 1], [1, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 2], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 1]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [1, 2], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [1, 2], [1, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}]}]}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [1, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [1, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [3, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 3], [1, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 4], [1, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [3, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 4], [1, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 4], [1, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 4], [3, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 2], [3, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 3], [3, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 4], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [3, 3], [3, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [3, 4], [3, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [3, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 3], [3, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 4], [3, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [3, 3], [3, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [3, 4], [3, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 3], [3, 3], [3, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 3], [3, 4], [3, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 3], [3, 4], [3, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 4], [3, 4], [3, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 4], [3, 4], [3, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 2], [3, 3], [3, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 2], [3, 4], [3, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 3], [3, 3], [3, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 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{&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 3], [1, 4], [3, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 3], [3, 4], [3, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [1, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [3, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [1, 3], [3, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [1, 4], [3, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [3, 4], [3, 3]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [1, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [3, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [1, 3], [3, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [1, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [3, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [1, 3], [3, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[1, 4], [3, 4], [3, 4], [3, 4]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[3, 4], [3, 4], [3, 4], [3, 4]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[1, 4], [3, 4], [3, 4], [3, 4]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[3, 4], [3, 4], [3, 4], [3, 4]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[1, 4], [3, 4], [3, 4], [3, 4]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[3, 4], [3, 4], [3, 4], [3, 4]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 4], [3, 4], [3, 4], [3, 4]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[3, 4], [3, 4], [3, 4], [3, 4]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 2], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[1, 4], [3, 4], [3, 4], [3, 4]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[3, 4], [3, 4], [3, 4], [3, 4]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[1, 4], [3, 4], [3, 4], [3, 4]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[3, 4], [3, 4], [3, 4], [3, 4]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 3], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 3], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 4]]}]}]}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_placement&#34;, &#34;strategy_class&#34;: &#34;RequirementPlacementStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}], &#34;indices&#34;: [0], &#34;direction&#34;: 2, &#34;own_col&#34;: true, &#34;own_row&#34;: true, &#34;include_empty&#34;: false}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [1, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [1, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [3, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 3], [1, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 4], [1, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [3, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 4], [1, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 4], [1, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 4], [3, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 2], [3, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 3], [3, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 4], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [3, 3], [3, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [3, 4], [3, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [3, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 3], [3, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 4], [3, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [3, 3], [3, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [3, 4], [3, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 3], [3, 3], [3, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 3], [3, 4], [3, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 3], [3, 4], [3, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 4], [3, 4], [3, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 4], [3, 4], [3, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 2], [3, 3], [3, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 2], [3, 4], [3, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 3], [3, 3], [3, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 3], [3, 4], [3, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 3], [3, 4], [3, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 4], [3, 4], [3, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 4], [3, 4], [3, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 3], [3, 2], [3, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 3], [3, 3], [3, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 4], [3, 2], [3, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 4], [3, 3], [3, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 4], [3, 3], [3, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 4], [3, 4], [3, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 4], [3, 4], [3, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 3], [3, 2], [3, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 3], [3, 3], [3, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 4], [3, 2], [3, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 4], [3, 3], [3, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 4], [3, 3], [3, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 4], [3, 4], [3, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 4], [3, 4], [3, 3]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [1, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [3, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 3], [1, 3], [3, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 3], [1, 4], [3, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 3], [3, 4], [3, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [1, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [3, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [1, 3], [3, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [1, 4], [3, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [3, 4], [3, 3]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [1, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [3, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [1, 3], [3, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [1, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [3, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [1, 3], [3, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[1, 4], [3, 4], [3, 4], [3, 4]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[3, 4], [3, 4], [3, 4], [3, 4]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[1, 4], [3, 4], [3, 4], [3, 4]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[3, 4], [3, 4], [3, 4], [3, 4]]}, {&#34;patt&#34;: [2, 1, 3, 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3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 4]]}]}]}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[6, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[6, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[6, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [2, 5]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [3, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 5], [2, 5]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 4], [3, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[4, 2], [4, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 5], [2, 5]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 5], [3, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 5], [5, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 4], [3, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 4], [5, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[4, 2], [4, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[5, 0], [5, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [6, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 4], [6, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 3], [2, 5], [6, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 3], [3, 4], [6, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 3], [6, 3], [6, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 3], [6, 4], [6, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 3], [6, 5], [6, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [6, 3], [6, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [6, 4], [6, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [6, 5], [6, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 5], [6, 5], [6, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 5], [6, 5], [6, 4]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 4], [6, 4], [6, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 4], [6, 4], [6, 4]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 4], [6, 5], [6, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 4], [6, 5], [6, 4]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[6, 3], [6, 3], [6, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[6, 3], [6, 4], [6, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[6, 3], [6, 5], [6, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[6, 4], [6, 4], [6, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[6, 4], [6, 4], [6, 4]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[6, 4], [6, 5], [6, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[6, 4], [6, 5], [6, 4]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[6, 5], [6, 5], [6, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[6, 5], [6, 5], [6, 4]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 5], [6, 3], [6, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 5], [6, 4], [6, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 5], [6, 4], [6, 4]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 5], [6, 5], [6, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 5], [6, 5], [6, 4]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 4], [6, 3], [6, 3]]}, {&#34;patt&#34;: [2, 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1], &#34;pos&#34;: [[0, 4], [0, 4], [6, 5], [6, 4]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 3], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 4], [0, 4], [3, 4]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 4], [0, 4], [6, 4]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 4], [3, 4], [6, 4]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 4], [6, 4], [6, 4]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [3, 4]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [6, 4]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [3, 4], [6, 4]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [6, 4], [6, 4]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[2, 5], [6, 5], [6, 5], [6, 5]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[6, 5], [6, 5], [6, 5], [6, 5]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[2, 5], [6, 5], [6, 5], [6, 5]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[6, 5], [6, 5], [6, 5], [6, 5]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[2, 5], [6, 5], [6, 5], [6, 5]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[6, 5], [6, 5], [6, 5], [6, 5]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 5], [6, 5], [6, 5], [6, 5]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[6, 5], [6, 5], [6, 5], [6, 5]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 4], [0, 3], [0, 4], [0, 4]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 4], [0, 3], [0, 4], [0, 4]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[2, 5], [6, 5], [6, 5], [6, 5]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[6, 5], [6, 5], [6, 5], [6, 5]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[2, 5], [6, 5], [6, 5], [6, 5]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[6, 5], [6, 5], [6, 5], [6, 5]]}, 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3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 4], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 3], [0, 4], [0, 3], [0, 4], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 4], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 4], [0, 4], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 4], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 4], [0, 3], [0, 4], [0, 3]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 4], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 4], [0, 4], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 4], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 4], [0, 3], [0, 3], [0, 4], [0, 3]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 4], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 3], [0, 4], [0, 3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 4], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 2]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[6, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[6, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[6, 5]]}]}]}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.row_and_col_separation&#34;, &#34;strategy_class&#34;: &#34;RowColumnSeparationStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;inferrable&#34;: true, &#34;possibly_empty&#34;: false, &#34;workable&#34;: true}}]}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;EquivalencePathRule&#34;, &#34;rules&#34;: [{&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [2, 2], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 1], [2, 2], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 2], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 1]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [2, 2], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [2, 2], [2, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}]}]}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 3], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 2], [2, 2], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 2], [2, 3], [2, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 2], [2, 3], [2, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 3], [2, 3], [2, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 2], [2, 2], [2, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 3], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 3], [2, 3], [2, 2]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [1, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [2, 3], [2, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [2, 3], [2, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [1, 2], [2, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2], [2, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}]}]}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.row_and_col_separation&#34;, &#34;strategy_class&#34;: &#34;RowColumnSeparationStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;inferrable&#34;: true, &#34;possibly_empty&#34;: false, &#34;workable&#34;: true}}]}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;EquivalencePathRule&#34;, &#34;rules&#34;: [{&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 1], [2, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 2], [2, 2], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 2], [2, 2], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 2], [2, 2], [2, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 2], [2, 2], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 1]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[1, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[1, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[1, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[1, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[1, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}]}]}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [2, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 3], [2, 3], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 3], [2, 3], [2, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 3], [2, 3], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 3], [2, 3], [2, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 3], [2, 3], [2, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 3], [2, 3], [2, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 3], [2, 3], [2, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 3], [2, 3], [2, 2]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[1, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[1, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[1, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[1, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[1, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}]}]}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.row_and_col_separation&#34;, &#34;strategy_class&#34;: &#34;RowColumnSeparationStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;inferrable&#34;: true, &#34;possibly_empty&#34;: false, &#34;workable&#34;: true}}]}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;EquivalencePathRule&#34;, &#34;rules&#34;: [{&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[1, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[1, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[1, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[1, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[1, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}]}]}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 0], [3, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[4, 1], [4, 3], [4, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[4, 3], [4, 3], [4, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[4, 3], [4, 1], [4, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[4, 3], [4, 3], [4, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[4, 3], [4, 3], [4, 3], [4, 3]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[4, 3], [4, 3], [4, 3], [4, 3]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[4, 3], [4, 3], [4, 3], [4, 3]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[4, 3], [4, 3], [4, 3], [4, 3]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[4, 3], [4, 3], [4, 3], [4, 3]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[4, 3], [4, 3], [4, 3], [4, 3]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 3]]}]}]}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_placement&#34;, &#34;strategy_class&#34;: &#34;RequirementPlacementStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}], &#34;indices&#34;: [0], &#34;direction&#34;: 0, &#34;own_col&#34;: true, &#34;own_row&#34;: true, &#34;include_empty&#34;: false}}]}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;EquivalencePathRule&#34;, &#34;rules&#34;: [{&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]}]}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 2], [1, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [1, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [1, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 0], [1, 3], [1, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 2], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 3], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 2], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 3], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[1, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[1, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[1, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[1, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[1, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 2], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 2], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 0], [0, 2], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}]}]}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_placement&#34;, &#34;strategy_class&#34;: &#34;RequirementPlacementStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}], &#34;indices&#34;: [0], &#34;direction&#34;: 0, &#34;own_col&#34;: true, &#34;own_row&#34;: true, &#34;include_empty&#34;: false}}]}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;EquivalencePathRule&#34;, &#34;rules&#34;: [{&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[1, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[1, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[1, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[1, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[1, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}]}]}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 0], [3, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[4, 1], [4, 3], [4, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[4, 3], [4, 3], [4, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[4, 3], [4, 1], [4, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[4, 3], [4, 3], [4, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[4, 3], [4, 3], [4, 3], [4, 3]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[4, 3], [4, 3], [4, 3], [4, 3]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[4, 3], [4, 3], [4, 3], [4, 3]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[4, 3], [4, 3], [4, 3], [4, 3]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[4, 3], [4, 3], [4, 3], [4, 3]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[4, 3], [4, 3], [4, 3], [4, 3]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 3]]}]}]}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_placement&#34;, &#34;strategy_class&#34;: &#34;RequirementPlacementStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}], &#34;indices&#34;: [0], &#34;direction&#34;: 0, &#34;own_col&#34;: true, &#34;own_row&#34;: true, &#34;include_empty&#34;: false}}]}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;EquivalencePathRule&#34;, &#34;rules&#34;: [{&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}]}]}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}]}]}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_placement&#34;, &#34;strategy_class&#34;: &#34;RequirementPlacementStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}], &#34;indices&#34;: [0], &#34;direction&#34;: 0, &#34;own_col&#34;: true, &#34;own_row&#34;: true, &#34;include_empty&#34;: false}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}]}]}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[4, 1], [4, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 0], [3, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[4, 1], [4, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 1]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 1]]}]}]}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.row_and_col_separation&#34;, &#34;strategy_class&#34;: &#34;RowColumnSeparationStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;inferrable&#34;: true, &#34;possibly_empty&#34;: false, &#34;workable&#34;: true}}]}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;EquivalencePathRule&#34;, &#34;rules&#34;: [{&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}]}]}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 2], [4, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[4, 0], [4, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[4, 2], [4, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[4, 2], [4, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 2], [1, 2], [4, 2]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 3], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 3], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 3], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 3], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 4], [0, 3], [0, 4], [0, 4]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 4], [0, 3], [0, 4], [0, 4]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[0, 3], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[0, 4], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[1, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[0, 3], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[0, 4], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[1, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 4], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 4], [0, 4], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[1, 2], [1, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 4], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 4], [0, 4], [0, 3]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[1, 2], [1, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 4], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 3], [0, 4], [0, 3], [0, 4], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2], [3, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[1, 2], [1, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 4], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 4], [0, 4], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2], [3, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 2], [1, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 4], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 4], [0, 3], [0, 4], [0, 3]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2], [3, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 4], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 4], [0, 4], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2], [3, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [1, 2], [1, 2], [1, 2], [3, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [1, 2], [1, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 4], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 4], [0, 3], [0, 3], [0, 4], [0, 3]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 4], [1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 4], [1, 2], [1, 2], [1, 2], [3, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 4], [1, 2], [1, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2], [3, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [1, 2], [1, 2], [1, 2], [3, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [1, 2], [1, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 3], [0, 4], [0, 3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 4], [1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 4], [1, 2], [1, 2], [1, 2], [3, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 4], [1, 2], [1, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2], [3, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [3, 2], [3, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 2]]}]}]}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_placement&#34;, &#34;strategy_class&#34;: &#34;RequirementPlacementStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}], &#34;indices&#34;: [0], &#34;direction&#34;: 3, &#34;own_col&#34;: true, &#34;own_row&#34;: true, &#34;include_empty&#34;: false}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 2], [4, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[4, 0], [4, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[4, 2], [4, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[4, 2], [4, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 2], [1, 2], [4, 2]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 3], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 3], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 3], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 3], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 4], [0, 3], [0, 4], [0, 4]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 4], [0, 3], [0, 4], [0, 4]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[0, 3], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[0, 4], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[1, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[0, 3], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[0, 4], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[1, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 4], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 4], [0, 4], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[1, 2], [1, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 4], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 4], [0, 4], [0, 3]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[1, 2], [1, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 4], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 3], [0, 4], [0, 3], [0, 4], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2], [3, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[1, 2], [1, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 4], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 4], [0, 4], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2], [3, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 2], [1, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 4], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 4], [0, 3], [0, 4], [0, 3]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2], [3, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 4], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 4], [0, 4], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2], [3, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [1, 2], [1, 2], [1, 2], [3, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [1, 2], [1, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 4], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 4], [0, 3], [0, 3], [0, 4], [0, 3]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 4], [1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 4], [1, 2], [1, 2], [1, 2], [3, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 4], [1, 2], [1, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2], [3, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [1, 2], [1, 2], [1, 2], [3, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [1, 2], [1, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 3], [0, 4], [0, 3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 4], [1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 4], [1, 2], [1, 2], [1, 2], [3, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 4], [1, 2], [1, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2], [3, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [3, 2], [3, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 2]]}]}]}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 2], [5, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[4, 0], [4, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[5, 2], [5, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 2], [1, 2], [5, 2]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 3], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 3], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 3], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 3], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 4], [0, 3], [0, 4], [0, 4]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 4], [0, 3], [0, 4], [0, 4]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[0, 3], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[0, 4], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[1, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [3, 1, 2, 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4, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 4], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 4], [0, 4], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2], [3, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [1, 2], [1, 2], [1, 2], [3, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [1, 2], [1, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 4], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 4], [0, 3], [0, 3], [0, 4], [0, 3]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 4], [1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 4], [1, 2], [1, 2], [1, 2], [3, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 4], [1, 2], [1, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2], [3, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [1, 2], [1, 2], [1, 2], [3, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [1, 2], [1, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 3], [0, 4], [0, 3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 4], [1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 4], [1, 2], [1, 2], [1, 2], [3, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 4], [1, 2], [1, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2], [3, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [3, 2], [3, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 2]]}]}]}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.row_and_col_separation&#34;, &#34;strategy_class&#34;: &#34;RowColumnSeparationStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;inferrable&#34;: true, &#34;possibly_empty&#34;: false, &#34;workable&#34;: true}}]}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;EquivalencePathRule&#34;, &#34;rules&#34;: [{&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]}]}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [4, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0], [4, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}]}]}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_placement&#34;, &#34;strategy_class&#34;: &#34;RequirementPlacementStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}], &#34;indices&#34;: [0], &#34;direction&#34;: 1, &#34;own_col&#34;: true, &#34;own_row&#34;: true, &#34;include_empty&#34;: false}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [4, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0], [4, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}]}]}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 0], [5, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[4, 1], [4, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[4, 1], [4, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [5, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [5, 0], [5, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[5, 0], [5, 0], [5, 0], [5, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[5, 0], [5, 0], [5, 0], [5, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 1]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}]}]}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.row_and_col_separation&#34;, &#34;strategy_class&#34;: &#34;RowColumnSeparationStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;inferrable&#34;: true, &#34;possibly_empty&#34;: false, &#34;workable&#34;: true}}]}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;EquivalencePathRule&#34;, &#34;rules&#34;: [{&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 1], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}]}]}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [4, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 0], [4, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 1], [4, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 1], [4, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[4, 0], [4, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[4, 1], [4, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[4, 1], [4, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [4, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 1], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 1]]}]}]}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_placement&#34;, &#34;strategy_class&#34;: &#34;RequirementPlacementStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}], &#34;indices&#34;: [0], &#34;direction&#34;: 1, &#34;own_col&#34;: true, &#34;own_row&#34;: true, &#34;include_empty&#34;: false}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [4, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 0], [4, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 1], [4, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 1], [4, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[4, 0], [4, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[4, 1], [4, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[4, 1], [4, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [4, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 1], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 1]]}]}]}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [4, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 3], [3, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 0], [4, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 1], [4, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 3], [3, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[4, 0], [4, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[5, 2], [5, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [4, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 1], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 2]]}]}]}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.row_and_col_separation&#34;, &#34;strategy_class&#34;: &#34;RowColumnSeparationStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;inferrable&#34;: true, &#34;possibly_empty&#34;: false, &#34;workable&#34;: true}}]}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;EquivalencePathRule&#34;, &#34;rules&#34;: [{&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}]}]}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 0], [3, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 3], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}]}]}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_placement&#34;, &#34;strategy_class&#34;: &#34;RequirementPlacementStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}], &#34;indices&#34;: [0], &#34;direction&#34;: 0, &#34;own_col&#34;: true, &#34;own_row&#34;: true, &#34;include_empty&#34;: false}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 0], [3, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 3], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}]}]}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 0], [4, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [4, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 3], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 0]]}]}]}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.row_and_col_separation&#34;, &#34;strategy_class&#34;: &#34;RowColumnSeparationStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;inferrable&#34;: true, &#34;possibly_empty&#34;: false, &#34;workable&#34;: true}}]}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;EquivalencePathRule&#34;, &#34;rules&#34;: [{&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}]}]}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}]}]}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_placement&#34;, &#34;strategy_class&#34;: &#34;RequirementPlacementStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}], &#34;indices&#34;: [0], &#34;direction&#34;: 0, &#34;own_col&#34;: true, &#34;own_row&#34;: true, &#34;include_empty&#34;: false}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}]}]}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[4, 1], [4, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 0], [3, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[4, 1], [4, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 1]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 1]]}]}]}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.row_and_col_separation&#34;, &#34;strategy_class&#34;: &#34;RowColumnSeparationStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;inferrable&#34;: true, &#34;possibly_empty&#34;: false, &#34;workable&#34;: true}}]}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;EquivalencePathRule&#34;, &#34;rules&#34;: [{&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}]}]}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 3], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0], [3, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}]}]}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_placement&#34;, &#34;strategy_class&#34;: &#34;RequirementPlacementStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], &#34;indices&#34;: [0], &#34;direction&#34;: 0, &#34;own_col&#34;: true, &#34;own_row&#34;: true, &#34;include_empty&#34;: false}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 3], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0], [3, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}]}]}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [3, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 3], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[3, 0], [3, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [4, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [4, 0], [4, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 0]]}]}]}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.row_and_col_separation&#34;, &#34;strategy_class&#34;: &#34;RowColumnSeparationStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;inferrable&#34;: true, &#34;possibly_empty&#34;: false, &#34;workable&#34;: true}}]}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;EquivalencePathRule&#34;, &#34;rules&#34;: [{&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 1], [2, 2], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 1], [2, 2], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 1], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 2], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 2], [2, 1], [2, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 2], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 1]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [2, 2], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [2, 2], [2, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}]}]}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [2, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 3], [2, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 4], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 3], [2, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 4], [2, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [2, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [2, 3], [2, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [2, 4], [2, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 2], [2, 3], [2, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 2], [2, 4], [2, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 3], [2, 3], [2, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 3], [2, 4], [2, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 3], [2, 4], [2, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 4], [2, 4], [2, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 4], [2, 4], [2, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 3], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 3], [2, 3], [2, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 4], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 4], [2, 3], [2, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 4], [2, 3], [2, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 4], [2, 4], [2, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 4], [2, 4], [2, 3]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [2, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 3], [2, 4], [2, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [2, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [2, 4], [2, 3]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [2, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [2, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[2, 4], [2, 4], [2, 4], [2, 4]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[2, 4], [2, 4], [2, 4], [2, 4]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[2, 4], [2, 4], [2, 4], [2, 4]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 4], [2, 4], [2, 4], [2, 4]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 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[0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 3], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}]}]}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_placement&#34;, &#34;strategy_class&#34;: &#34;RequirementPlacementStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}], &#34;indices&#34;: [0], &#34;direction&#34;: 0, &#34;own_col&#34;: true, &#34;own_row&#34;: true, &#34;include_empty&#34;: false}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [2, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 3], [2, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 4], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 3], [2, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 4], [2, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [2, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [2, 3], [2, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [2, 4], [2, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 2], [2, 3], [2, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 2], [2, 4], [2, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 3], [2, 3], [2, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 3], [2, 4], [2, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 3], [2, 4], [2, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 4], [2, 4], [2, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 4], [2, 4], [2, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 3], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 3], [2, 3], [2, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 4], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 4], [2, 3], [2, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 4], [2, 3], [2, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 4], [2, 4], [2, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 4], [2, 4], [2, 3]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [2, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 3], [2, 4], [2, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [2, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [2, 4], [2, 3]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 3]]}, 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4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}]}]}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [4, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 4], [4, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 3], [4, 3], [4, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 3], [4, 4], [4, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 3], [4, 5], [4, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [4, 3], [4, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [4, 4], [4, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [4, 5], [4, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[4, 3], [4, 3], [4, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[4, 3], [4, 4], [4, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[4, 3], [4, 5], [4, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[4, 4], [4, 4], [4, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[4, 4], [4, 4], [4, 4]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[4, 4], [4, 5], [4, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[4, 4], [4, 5], [4, 4]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[4, 5], [4, 5], [4, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[4, 5], [4, 5], [4, 4]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[4, 3], [4, 3], [4, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[4, 4], [4, 3], [4, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[4, 4], [4, 4], [4, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[4, 4], [4, 4], [4, 4]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[4, 5], [4, 3], [4, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[4, 5], [4, 4], [4, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[4, 5], [4, 4], [4, 4]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[4, 5], [4, 5], [4, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[4, 5], [4, 5], [4, 4]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 3], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 3], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 3], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 4], [0, 4], [4, 4]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 4], [4, 4], [4, 4]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 4], [4, 5], [4, 4]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [4, 4]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 4], [0, 4], [4, 4], [4, 4]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 4], [0, 4], [4, 5], [4, 4]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 3], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 4], [0, 4], [4, 4]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 4], [4, 4], [4, 4]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [4, 4]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [4, 4], [4, 4]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[4, 5], [4, 5], [4, 5], [4, 5]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[4, 5], [4, 5], [4, 5], [4, 5]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[4, 5], [4, 5], [4, 5], [4, 5]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[4, 5], [4, 5], [4, 5], [4, 5]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 4], [0, 3], [0, 4], [0, 4]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 4], [0, 3], [0, 4], [0, 4]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[4, 5], [4, 5], [4, 5], [4, 5]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[4, 5], [4, 5], [4, 5], [4, 5]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 4], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 4], [0, 4], [0, 3]]}, {&#34;patt&#34;: [0, 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{&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 4], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 4], [0, 4], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 4], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 4], [0, 3], [0, 4], [0, 3]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 4], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 4], [0, 4], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 4], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 4], [0, 3], [0, 3], [0, 4], [0, 3]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 4], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 3], [0, 4], [0, 3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 4], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 5]]}]}]}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.row_and_col_separation&#34;, &#34;strategy_class&#34;: &#34;RowColumnSeparationStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;inferrable&#34;: true, &#34;possibly_empty&#34;: false, &#34;workable&#34;: true}}]}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;EquivalencePathRule&#34;, &#34;rules&#34;: [{&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 3], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 2], [2, 3], [2, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 3], [2, 3], [2, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 3], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 3], [2, 3], [2, 2]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [2, 3], [2, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [2, 3], [2, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}]}]}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 2], [3, 3], [3, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 3], [3, 3], [3, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 3], [3, 2], [3, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 3], [3, 3], [3, 2]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [3, 3], [3, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [3, 3], [3, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [3, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [3, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}]}]}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.row_and_col_separation&#34;, &#34;strategy_class&#34;: &#34;RowColumnSeparationStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;inferrable&#34;: true, &#34;possibly_empty&#34;: false, &#34;workable&#34;: true}}]}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;EquivalencePathRule&#34;, &#34;rules&#34;: [{&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;EquivalenceRule&#34;, &#34;original_rule&#34;: {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]}]}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [], &#34;pos&#34;: []}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 2], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}]}]}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_placement&#34;, &#34;strategy_class&#34;: &#34;RequirementPlacementStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], &#34;indices&#34;: [0], &#34;direction&#34;: 2, &#34;own_col&#34;: true, &#34;own_row&#34;: true, &#34;include_empty&#34;: true}}}]}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;EquivalencePathRule&#34;, &#34;rules&#34;: [{&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;EquivalenceRule&#34;, &#34;original_rule&#34;: {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]}]}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [], &#34;pos&#34;: []}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}]}]}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_placement&#34;, &#34;strategy_class&#34;: &#34;RequirementPlacementStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], &#34;indices&#34;: [0], &#34;direction&#34;: 2, &#34;own_col&#34;: true, &#34;own_row&#34;: true, &#34;include_empty&#34;: true}}}]}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;EquivalencePathRule&#34;, &#34;rules&#34;: [{&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;EquivalenceRule&#34;, &#34;original_rule&#34;: {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [0, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}]}]}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [], &#34;pos&#34;: []}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}]}]}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [], &#34;pos&#34;: []}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_placement&#34;, &#34;strategy_class&#34;: &#34;RequirementPlacementStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], &#34;indices&#34;: [0, 0], &#34;direction&#34;: 2, &#34;own_col&#34;: true, &#34;own_row&#34;: true, &#34;include_empty&#34;: true}}}]}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;EquivalencePathRule&#34;, &#34;rules&#34;: [{&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;EquivalenceRule&#34;, &#34;original_rule&#34;: {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [1, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}]}]}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}]}]}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [1, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}]}]}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}]}}}]}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;EquivalencePathRule&#34;, &#34;rules&#34;: [{&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;EquivalenceRule&#34;, &#34;original_rule&#34;: {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [1, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}]}]}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}]}]}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [1, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}]}]}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}]}}}]}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;EquivalencePathRule&#34;, &#34;rules&#34;: [{&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;EquivalenceRule&#34;, &#34;original_rule&#34;: {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [1, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}]}]}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}]}]}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [1, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}]}]}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}]}}}]}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;EquivalencePathRule&#34;, &#34;rules&#34;: [{&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;EquivalenceRule&#34;, &#34;original_rule&#34;: {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [1, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}]}]}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}]}]}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [1, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}]}]}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}]}}}]}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;EquivalencePathRule&#34;, &#34;rules&#34;: [{&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;EquivalenceRule&#34;, &#34;original_rule&#34;: {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [1, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}]}]}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [1, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}]}]}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [1, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}]}]}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]}}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;EquivalenceRule&#34;, &#34;original_rule&#34;: {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [1, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}]}]}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}]}]}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [1, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}]}]}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]}}}]}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;EquivalencePathRule&#34;, &#34;rules&#34;: [{&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;EquivalenceRule&#34;, &#34;original_rule&#34;: {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [1, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}]}]}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [1, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}]}]}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [1, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}]}]}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}]}}}]}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;EquivalencePathRule&#34;, &#34;rules&#34;: [{&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;EquivalenceRule&#34;, &#34;original_rule&#34;: {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [1, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 0], [3, 0], [4, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 0], [3, 0], [4, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 0], [3, 0], [4, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 0], [3, 0], [4, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 0], [3, 0], [4, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 0], [3, 0], [4, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 0], [3, 0], [4, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 0], [3, 0], [4, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[1, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[2, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[0, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[1, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[2, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[0, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[1, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[2, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[0, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[1, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[2, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[0, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[1, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[2, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 0]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 0]]}]}]}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [1, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}]}]}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [1, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 0], [3, 0], [4, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 0], [3, 0], [4, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 0], [3, 0], [4, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 0], [3, 0], [4, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 0], [3, 0], [4, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 0], [3, 0], [4, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 0], [3, 0], [4, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 0], [3, 0], [4, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[1, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[2, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[0, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[1, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[2, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[0, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[1, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[2, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[0, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[1, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[2, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[0, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[1, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[2, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 0]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 0]]}]}]}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]}}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;EquivalenceRule&#34;, &#34;original_rule&#34;: {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [1, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}]}]}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}]}]}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [1, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}]}]}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]}}}]}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;EquivalencePathRule&#34;, &#34;rules&#34;: [{&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;EquivalenceRule&#34;, &#34;original_rule&#34;: {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [1, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 0], [3, 0], [4, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 0], [3, 0], [4, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 0], [3, 0], [4, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 0], [3, 0], [4, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 0], [3, 0], [4, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 0], [3, 0], [4, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 0], [3, 0], [4, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 0], [3, 0], [4, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[1, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[2, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[0, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[1, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[2, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[0, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[1, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[2, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[0, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[1, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[2, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[0, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[1, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[2, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 0]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 0]]}]}]}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [1, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}]}]}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [1, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 0], [3, 0], [4, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 0], [3, 0], [4, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 0], [3, 0], [4, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 0], [3, 0], [4, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 0], [3, 0], [4, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 0], [3, 0], [4, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 0], [3, 0], [4, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 0], [3, 0], [4, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[1, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[2, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[0, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[1, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[2, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[0, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[1, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[2, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[0, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[1, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[2, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[0, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[1, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[2, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 0]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 0]]}]}]}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}]}}}]}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;EquivalencePathRule&#34;, &#34;rules&#34;: [{&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;EquivalenceRule&#34;, &#34;original_rule&#34;: 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[1, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[1, 0], [2, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[1, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[2, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 0]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 0]]}]}]}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 0], [0, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 0], [1, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 0], [1, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 0], [0, 0], [3, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 0], [1, 0], [3, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 0], [1, 0], [3, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 0], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[0, 0], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[0, 0], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 0], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[0, 0], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[0, 0], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}]}]}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], 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0]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[2, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[0, 0], [0, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[0, 0], [1, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[0, 0], [2, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[0, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[1, 0], [1, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[1, 0], [2, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[1, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[2, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 0]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 0]]}]}]}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}]}}}]}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;EquivalencePathRule&#34;, &#34;rules&#34;: [{&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;EquivalenceRule&#34;, &#34;original_rule&#34;: {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [1, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}]}]}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [1, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}]}]}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [1, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}]}]}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}]}}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;EquivalenceRule&#34;, &#34;original_rule&#34;: {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [1, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}]}]}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}]}]}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [1, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], 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{&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 0], [3, 0], [4, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 0], [3, 0], [4, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 0], [3, 0], [4, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 0], [3, 0], [4, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 0], [3, 0], [4, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 0], [3, 0], [4, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 0], [3, 0], [4, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[1, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[2, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[0, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[1, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[2, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[0, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[1, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[2, 0], [3, 0], [3, 0], 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[[0, 0], [1, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}]}]}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [1, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 0], [3, 0], [4, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 0], [3, 0], [4, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 0], [3, 0], [4, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 0], [3, 0], [4, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 0], [3, 0], [4, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 0], [3, 0], [4, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 0], [3, 0], [4, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 0], [3, 0], [4, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[1, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[2, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[0, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[1, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[2, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[0, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[1, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[2, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[0, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[1, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[2, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[0, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[1, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[2, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 0]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 0]]}]}]}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}]}}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;EquivalenceRule&#34;, &#34;original_rule&#34;: {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [1, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}]}]}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}]}]}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [1, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}]}]}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}]}}}]}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;EquivalencePathRule&#34;, &#34;rules&#34;: [{&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;EquivalenceRule&#34;, &#34;original_rule&#34;: {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 0], [1, 0], [4, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 0], [2, 0], [4, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 0], [3, 0], [4, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 0], [1, 0], [4, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 0], [2, 0], [4, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 0], [3, 0], [4, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 0], [2, 0], [4, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 0], [3, 0], [4, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 0], [3, 0], [4, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 0], [1, 0], [4, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 0], [2, 0], [4, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 0], [3, 0], [4, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 0], [1, 0], [4, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 0], [2, 0], [4, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 0], [3, 0], [4, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 0], [2, 0], [4, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 0], [3, 0], [4, 0]]}, {&#34;patt&#34;: [2, 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{&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[0, 0], [1, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[0, 0], [2, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[0, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[1, 0], [1, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[1, 0], [2, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[1, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[2, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[0, 0], [1, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[0, 0], [2, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[0, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[1, 0], [1, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[1, 0], [2, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[1, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[2, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 0], [1, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 0], [2, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 0], [1, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 0], [2, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[0, 0], [1, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[0, 0], [2, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[0, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[1, 0], [1, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[1, 0], [2, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[1, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[2, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[0, 0], [1, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[0, 0], [2, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[0, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[1, 0], [1, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[1, 0], [2, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[1, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[2, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 0]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 0]]}]}]}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 0], [1, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 0], [1, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 0], [1, 0], [3, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 0], [1, 0], [3, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 0], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[0, 0], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[0, 0], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 0], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[0, 0], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[0, 0], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}], &#34;requirements&#34;: 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&#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[1, 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[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[2, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[0, 0], [1, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[0, 0], [2, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[0, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[1, 0], [1, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[1, 0], [2, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[1, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[2, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}], 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&#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]}]}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_placement&#34;, &#34;strategy_class&#34;: &#34;RequirementPlacementStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], &#34;indices&#34;: [0], &#34;direction&#34;: 2, &#34;own_col&#34;: true, &#34;own_row&#34;: true, &#34;include_empty&#34;: true}}}]}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;EquivalencePathRule&#34;, &#34;rules&#34;: [{&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;EquivalenceRule&#34;, &#34;original_rule&#34;: {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [0, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}]}]}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [], &#34;pos&#34;: []}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, 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[2, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}]}]}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}]}]}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [1, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [3, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 0], [3, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 0], [3, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}]}]}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}]}}}]}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;VerificationRule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.verification&#34;, &#34;strategy_class&#34;: &#34;BasicVerificationStrategy&#34;}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;VerificationRule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}, &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.verification&#34;, &#34;strategy_class&#34;: &#34;BasicVerificationStrategy&#34;}}, {&#34;class_module&#34;: &#34;tilings.strategies.verification&#34;, &#34;rule_class&#34;: &#34;OneByOneVerificationRule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.verification&#34;, &#34;strategy_class&#34;: &#34;OneByOneVerificationStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;basis&#34;: [[0, 2, 3, 4, 1], [0, 2, 4, 3, 1], [0, 3, 2, 4, 1], [0, 3, 4, 2, 1], [0, 4, 2, 3, 1], [0, 4, 3, 2, 1], [4, 0, 2, 3, 1], [4, 0, 3, 2, 1]], &#34;symmetry&#34;: true}}, {&#34;class_module&#34;: &#34;tilings.strategies.verification&#34;, &#34;rule_class&#34;: &#34;OneByOneVerificationRule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}, &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.verification&#34;, &#34;strategy_class&#34;: &#34;OneByOneVerificationStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;basis&#34;: [[0, 2, 3, 4, 1], [0, 2, 4, 3, 1], [0, 3, 2, 4, 1], [0, 3, 4, 2, 1], [0, 4, 2, 3, 1], [0, 4, 3, 2, 1], [4, 0, 2, 3, 1], [4, 0, 3, 2, 1]], &#34;symmetry&#34;: true}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;VerificationRule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]}]}, &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.verification&#34;, &#34;strategy_class&#34;: &#34;BasicVerificationStrategy&#34;}}, {&#34;class_module&#34;: &#34;tilings.strategies.verification&#34;, &#34;rule_class&#34;: &#34;OneByOneVerificationRule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]}]}, &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.verification&#34;, &#34;strategy_class&#34;: &#34;OneByOneVerificationStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;basis&#34;: [[0, 2, 3, 4, 1], [0, 2, 4, 3, 1], [0, 3, 2, 4, 1], [0, 3, 4, 2, 1], [0, 4, 2, 3, 1], [0, 4, 3, 2, 1], [4, 0, 2, 3, 1], [4, 0, 3, 2, 1]], &#34;symmetry&#34;: true}}, {&#34;class_module&#34;: &#34;tilings.strategies.verification&#34;, &#34;rule_class&#34;: &#34;OneByOneVerificationRule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]}]}, &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.verification&#34;, &#34;strategy_class&#34;: &#34;OneByOneVerificationStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;basis&#34;: [[0, 2, 3, 4, 1], [0, 2, 4, 3, 1], [0, 3, 2, 4, 1], [0, 3, 4, 2, 1], [0, 4, 2, 3, 1], [0, 4, 3, 2, 1], [4, 0, 2, 3, 1], [4, 0, 3, 2, 1]], &#34;symmetry&#34;: true}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;VerificationRule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [], &#34;pos&#34;: []}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, &#34;strategy&#34;: {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.strategy&#34;, &#34;strategy_class&#34;: &#34;EmptyStrategy&#34;}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;VerificationRule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [2, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[4, 1], [4, 1], [4, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 1]]}]}]}, &#34;strategy&#34;: {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.strategy&#34;, &#34;strategy_class&#34;: &#34;EmptyStrategy&#34;}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;VerificationRule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [3, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [2, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [3, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 1], [3, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[4, 0], [4, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [3, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [3, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 1], [3, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[4, 0], [4, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [5, 1], [5, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [5, 1], [5, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 1], [5, 1], [5, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 1], [5, 1], [5, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[5, 1], [5, 1], [5, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [5, 1], [5, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [5, 1], [5, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 1], [5, 1], [5, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 1], [5, 1], [5, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[5, 1], [5, 1], [5, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 0]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 1]]}]}]}, &#34;strategy&#34;: {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.strategy&#34;, &#34;strategy_class&#34;: &#34;EmptyStrategy&#34;}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;VerificationRule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [2, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[4, 1], [4, 1], [4, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 1]]}]}]}, &#34;strategy&#34;: {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.strategy&#34;, &#34;strategy_class&#34;: &#34;EmptyStrategy&#34;}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;VerificationRule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [3, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [2, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [3, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 1], [3, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[4, 0], [4, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [3, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [3, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 1], [3, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[4, 0], [4, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [5, 1], [5, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [5, 1], [5, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 1], [5, 1], [5, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 1], [5, 1], [5, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[5, 1], [5, 1], [5, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [5, 1], [5, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [5, 1], [5, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 1], [5, 1], [5, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 1], [5, 1], [5, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[5, 1], [5, 1], [5, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 0]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 1]]}]}]}, &#34;strategy&#34;: {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.strategy&#34;, &#34;strategy_class&#34;: &#34;EmptyStrategy&#34;}}, {&#34;class_module&#34;: &#34;tilings.strategies.fusion.fusion&#34;, &#34;rule_class&#34;: &#34;FusionRule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]}]}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]}]}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.fusion.fusion&#34;, &#34;strategy_class&#34;: &#34;FusionStrategy&#34;, &#34;row_idx&#34;: null, &#34;col_idx&#34;: 0, &#34;tracked&#34;: true}}]}<br /><br />

  Specification 3<br />
  Strategy pack name: point_and_col_placements_req_corrob_symmetries<br />
  Tree: http://www.permpal.com/tree/25575/<br />
  System of equations in Maple syntax:<br />
  
    F[0,x] = F[1,x]+F[2,x]<br />
  
    F[1,x] = 1<br />
  
    F[2,x] = F[3,x]<br />
  
    F[3,x] = F[31,x]*F[4,x]<br />
  
    F[4,x] = F[0,x]+F[5,x]<br />
  
    F[5,x] = F[2,x]+F[6,x]<br />
  
    F[6,x] = F[693,x]+F[7,x]+F[8,x]<br />
  
    F[7,x] = 0<br />
  
    F[8,x] = F[31,x]*F[9,x]<br />
  
    F[9,x] = F[10,x]+F[11,x]<br />
  
    F[10,x] = F[2,x]+F[6,x]<br />
  
    F[11,x] = F[12,x]<br />
  
    F[12,x] = F[13,x]*F[31,x]<br />
  
    F[13,x] = F[14,x]+F[513,x]<br />
  
    F[14,x] = F[15,x]+F[17,x]<br />
  
    F[15,x] = F[16,x]*F[9,x]<br />
  
    F[16,x] = 2+F[16,x]^2+(-2+x)*F[16,x]<br />
  
    F[17,x] = F[18,x]<br />
  
    F[18,x] = F[19,x]*F[31,x]<br />
  
    F[19,x] = F[20,x]+F[42,x]<br />
  
    F[20,x] = F[21,x]<br />
  
    F[21,x] = F[22,x]*F[9,x]<br />
  
    F[22,x] = 1/F[31,x]*F[23,x]<br />
  
    F[23,x] = F[24,x]<br />
  
    F[24,x] = F[25,x]<br />
  
    F[25,x] = F[26,x]*F[31,x]<br />
  
    F[26,x] = F[27,x]+F[33,x]<br />
  
    F[27,x] = F[28,x]+F[32,x]<br />
  
    F[28,x] = F[16,x]+F[29,x]<br />
  
    F[29,x] = F[30,x]<br />
  
    F[30,x] = F[22,x]*F[31,x]<br />
  
    F[31,x] = x<br />
  
    F[32,x] = F[33,x]<br />
  
    F[33,x] = F[34,x]+F[35,x]<br />
  
    F[34,x] = F[24,x]<br />
  
    F[35,x] = F[36,x]<br />
  
    F[36,x] = F[31,x]*F[34,x]*F[37,x]<br />
  
    F[37,x] = 1/F[31,x]*F[38,x]<br />
  
    F[38,x] = F[39,x]<br />
  
    F[39,x] = F[40,x]+F[41,x]+F[7,x]<br />
  
    F[40,x] = F[31,x]*F[33,x]<br />
  
    F[41,x] = F[28,x]*F[31,x]<br />
  
    F[42,x] = F[43,x]<br />
  
    F[43,x] = F[44,x]+F[492,x]<br />
  
    F[44,x] = F[45,x]+F[490,x]<br />
  
    F[45,x] = F[46,x]<br />
  
    F[46,x] = F[47,x]+F[488,x]<br />
  
    F[47,x] = F[48,x]+F[486,x]<br />
  
    F[48,x] = F[479,x]+F[49,x]<br />
  
    F[49,x] = F[50,x]<br />
  
    F[50,x] = F[51,x]<br />
  
    F[51,x] = F[31,x]*F[52,x]<br />
  
    F[52,x] = F[477,x]+F[53,x]<br />
  
    F[53,x] = F[54,x]+F[94,x]<br />
  
    F[54,x] = F[55,x]+F[86,x]<br />
  
    F[55,x] = F[1,x]+F[56,x]<br />
  
    F[56,x] = F[57,x]<br />
  
    F[57,x] = F[31,x]*F[58,x]<br />
  
    F[58,x] = F[55,x]+F[59,x]<br />
  
    F[59,x] = F[60,x]+F[71,x]<br />
  
    F[60,x] = F[61,x]<br />
  
    F[61,x] = F[31,x]*F[62,x]<br />
  
    F[62,x] = F[63,x]+F[64,x]<br />
  
    F[63,x] = F[1,x]+F[60,x]<br />
  
    F[64,x] = F[65,x]+F[68,x]<br />
  
    F[65,x] = F[66,x]<br />
  
    F[66,x] = F[31,x]*F[67,x]<br />
  
    F[67,x] = F[1,x]+F[65,x]<br />
  
    F[68,x] = F[69,x]<br />
  
    F[69,x] = F[31,x]*F[70,x]<br />
  
    F[70,x] = F[60,x]+F[68,x]<br />
  
    F[71,x] = F[7,x]+F[72,x]+F[82,x]<br />
  
    F[72,x] = F[31,x]*F[73,x]<br />
  
    F[73,x] = F[74,x]+F[75,x]<br />
  
    F[74,x] = F[56,x]+F[71,x]<br />
  
    F[75,x] = F[76,x]+F[79,x]<br />
  
    F[76,x] = F[77,x]<br />
  
    F[77,x] = F[31,x]*F[78,x]<br />
  
    F[78,x] = F[56,x]+F[76,x]<br />
  
    F[79,x] = F[80,x]<br />
  
    F[80,x] = F[31,x]*F[81,x]<br />
  
    F[81,x] = F[71,x]+F[79,x]<br />
  
    F[82,x] = F[31,x]*F[83,x]<br />
  
    F[83,x] = F[84,x]+F[85,x]<br />
  
    F[84,x] = F[65,x]+F[76,x]<br />
  
    F[85,x] = F[68,x]+F[79,x]<br />
  
    F[86,x] = F[7,x]+F[87,x]+F[91,x]<br />
  
    F[87,x] = F[31,x]*F[88,x]<br />
  
    F[88,x] = 1/F[31,x]*F[89,x]<br />
  
    F[89,x] = -F[1,x]-F[90,x]+F[4,x]<br />
  
    F[90,x] = F[31,x]*F[53,x]<br />
  
    F[91,x] = F[31,x]*F[92,x]<br />
  
    F[92,x] = F[86,x]+F[93,x]<br />
  
    F[93,x] = -F[417,x]+F[94,x]<br />
  
    F[94,x] = F[95,x]<br />
  
    F[95,x] = F[50,x]+F[96,x]<br />
  
    F[96,x] = -F[97,x]+F[49,x]<br />
  
    F[97,x] = F[31,x]+F[98,x]<br />
  
    F[98,x] = F[416,x]+F[7,x]+F[99,x]<br />
  
    F[99,x] = F[100,x]*F[31,x]<br />
  
    F[100,x] = F[101,x]+F[97,x]<br />
  
    F[101,x] = F[102,x]+F[98,x]<br />
  
    F[102,x] = F[103,x]<br />
  
    F[103,x] = F[104,x]*F[31,x]<br />
  
    F[104,x] = F[105,x]+F[412,x]<br />
  
    F[105,x] = F[106,x]+F[410,x]<br />
  
    F[106,x] = F[107,x]*F[108,x]<br />
  
    F[107,x] = (1+F[107,x])*x+F[107,x]^2<br />
  
    F[108,x] = F[109,x]+F[97,x]<br />
  
    F[109,x] = F[110,x]<br />
  
    F[110,x] = F[111,x]*F[31,x]<br />
  
    F[111,x] = F[112,x]+F[213,x]<br />
  
    F[112,x] = 1/F[31,x]*F[113,x]<br />
  
    F[113,x] = F[114,x]<br />
  
    F[114,x] = -F[97,x]+F[115,x]<br />
  
    F[115,x] = 1/F[366,x]*F[116,x]<br />
  
    F[116,x] = -F[398,x]+F[117,x]<br />
  
    F[117,x] = F[118,x]<br />
  
    F[118,x] = -F[395,x]+F[119,x]<br />
  
    F[119,x] = 1/F[31,x]*F[120,x]<br />
  
    F[120,x] = F[121,x]<br />
  
    F[121,x] = F[122,x]+F[124,x]+F[255,x]+F[7,x]<br />
  
    F[122,x] = F[123,x]<br />
  
    F[123,x] = F[31,x]*F[49,x]<br />
  
    F[124,x] = F[125,x]*F[31,x]<br />
  
    F[125,x] = F[126,x]<br />
  
    F[126,x] = F[127,x]*F[31,x]<br />
  
    F[127,x] = F[128,x]+F[250,x]<br />
  
    F[128,x] = F[129,x]<br />
  
    F[129,x] = F[130,x]+F[249,x]<br />
  
    F[130,x] = F[131,x]+F[132,x]<br />
  
    F[131,x] = F[107,x]*F[54,x]<br />
  
    F[132,x] = F[133,x]+F[246,x]+F[247,x]<br />
  
    F[133,x] = F[134,x]*F[54,x]<br />
  
    F[134,x] = -F[241,x]+F[135,x]<br />
  
    F[135,x] = -F[196,x]+F[136,x]<br />
  
    F[136,x] = F[137,x]+F[147,x]<br />
  
    F[137,x] = F[138,x]+F[139,x]<br />
  
    F[138,x] = F[59,x]<br />
  
    F[139,x] = F[140,x]<br />
  
    F[140,x] = F[141,x]*F[31,x]<br />
  
    F[141,x] = F[142,x]+F[186,x]<br />
  
    F[142,x] = F[143,x]+F[144,x]<br />
  
    F[143,x] = F[139,x]+F[86,x]<br />
  
    F[144,x] = F[145,x]<br />
  
    F[145,x] = F[146,x]*F[31,x]*F[67,x]<br />
  
    F[146,x] = F[143,x]+F[147,x]<br />
  
    F[147,x] = -F[195,x]+F[148,x]<br />
  
    F[148,x] = F[149,x]+F[165,x]+F[54,x]<br />
  
    F[149,x] = F[150,x]*F[31,x]<br />
  
    F[150,x] = 1/F[31,x]*F[151,x]<br />
  
    F[151,x] = F[152,x]<br />
  
    F[152,x] = -F[153,x]+F[88,x]<br />
  
    F[153,x] = F[1,x]+F[154,x]+F[157,x]<br />
  
    F[154,x] = F[155,x]*F[31,x]<br />
  
    F[155,x] = F[156,x]+F[34,x]<br />
  
    F[156,x] = F[16,x]+F[24,x]<br />
  
    F[157,x] = F[158,x]*F[31,x]<br />
  
    F[158,x] = F[153,x]+F[159,x]<br />
  
    F[159,x] = F[160,x]<br />
  
    F[160,x] = F[161,x]*F[31,x]<br />
  
    F[161,x] = 1/F[31,x]*F[162,x]<br />
  
    F[162,x] = F[163,x]<br />
  
    F[163,x] = -F[156,x]-F[164,x]+F[22,x]<br />
  
    F[164,x] = F[22,x]*F[31,x]<br />
  
    F[165,x] = F[166,x]<br />
  
    F[166,x] = F[167,x]*F[31,x]<br />
  
    F[167,x] = F[168,x]+F[173,x]<br />
  
    F[168,x] = F[148,x]+F[169,x]<br />
  
    F[169,x] = F[170,x]<br />
  
    F[170,x] = F[171,x]*F[31,x]<br />
  
    F[171,x] = 1/F[31,x]*F[172,x]<br />
  
    F[172,x] = F[47,x]<br />
  
    F[173,x] = F[174,x]+F[177,x]<br />
  
    F[174,x] = F[175,x]+F[49,x]<br />
  
    F[175,x] = F[176,x]<br />
  
    F[176,x] = F[174,x]*F[31,x]<br />
  
    F[177,x] = -F[144,x]+F[178,x]<br />
  
    F[178,x] = -F[181,x]+F[179,x]<br />
  
    F[179,x] = 1/F[31,x]*F[180,x]<br />
  
    F[180,x] = F[93,x]<br />
  
    F[181,x] = -F[184,x]+F[182,x]<br />
  
    F[182,x] = 1/F[31,x]*F[183,x]<br />
  
    F[183,x] = F[93,x]<br />
  
    F[184,x] = F[185,x]<br />
  
    F[185,x] = F[186,x]+F[188,x]<br />
  
    F[186,x] = F[187,x]<br />
  
    F[187,x] = F[143,x]*F[31,x]*F[67,x]<br />
  
    F[188,x] = -F[193,x]+F[189,x]<br />
  
    F[189,x] = F[190,x]<br />
  
    F[190,x] = -F[168,x]+F[191,x]<br />
  
    F[191,x] = 1/F[31,x]*F[192,x]<br />
  
    F[192,x] = F[94,x]<br />
  
    F[193,x] = F[194,x]<br />
  
    F[194,x] = F[195,x]*F[31,x]*F[67,x]<br />
  
    F[195,x] = F[137,x]+F[54,x]<br />
  
    F[196,x] = -F[197,x]+F[148,x]<br />
  
    F[197,x] = -F[198,x]+F[52,x]<br />
  
    F[198,x] = F[199,x]+F[94,x]<br />
  
    F[199,x] = F[200,x]<br />
  
    F[200,x] = F[201,x]*F[31,x]<br />
  
    F[201,x] = F[202,x]+F[239,x]<br />
  
    F[202,x] = F[203,x]<br />
  
    F[203,x] = F[204,x]*F[31,x]<br />
  
    F[204,x] = F[205,x]+F[235,x]<br />
  
    F[205,x] = F[206,x]+F[234,x]<br />
  
    F[206,x] = F[207,x]+F[208,x]<br />
  
    F[207,x] = F[148,x]*F[28,x]<br />
  
    F[208,x] = F[209,x]*F[54,x]<br />
  
    F[209,x] = F[210,x]<br />
  
    F[210,x] = F[211,x]*F[31,x]<br />
  
    F[211,x] = 1/F[31,x]*F[212,x]<br />
  
    F[212,x] = F[213,x]<br />
  
    F[213,x] = 1/F[31,x]*F[214,x]<br />
  
    F[214,x] = F[215,x]<br />
  
    F[215,x] = -F[41,x]-F[7,x]+F[216,x]<br />
  
    F[216,x] = F[217,x]<br />
  
    F[217,x] = -F[218,x]+F[48,x]<br />
  
    F[218,x] = F[219,x]<br />
  
    F[219,x] = F[220,x]*F[31,x]<br />
  
    F[220,x] = F[221,x]+F[231,x]<br />
  
    F[221,x] = F[222,x]<br />
  
    F[222,x] = -F[225,x]+F[223,x]<br />
  
    F[223,x] = 1/F[31,x]*F[224,x]<br />
  
    F[224,x] = F[198,x]<br />
  
    F[225,x] = -F[228,x]+F[226,x]<br />
  
    F[226,x] = 1/F[31,x]*F[227,x]<br />
  
    F[227,x] = F[196,x]<br />
  
    F[228,x] = -F[171,x]+F[229,x]<br />
  
    F[229,x] = 1/F[31,x]*F[230,x]<br />
  
    F[230,x] = F[196,x]<br />
  
    F[231,x] = F[232,x]+F[47,x]<br />
  
    F[232,x] = F[233,x]<br />
  
    F[233,x] = F[31,x]*F[37,x]*F[47,x]<br />
  
    F[234,x] = F[28,x]*F[47,x]<br />
  
    F[235,x] = F[236,x]<br />
  
    F[236,x] = F[237,x]+F[238,x]<br />
  
    F[237,x] = F[173,x]*F[28,x]<br />
  
    F[238,x] = F[209,x]*F[49,x]<br />
  
    F[239,x] = F[240,x]<br />
  
    F[240,x] = F[201,x]*F[28,x]*F[31,x]<br />
  
    F[241,x] = F[242,x]<br />
  
    F[242,x] = -F[244,x]+F[243,x]<br />
  
    F[243,x] = F[175,x]+F[177,x]<br />
  
    F[244,x] = F[245,x]<br />
  
    F[245,x] = F[228,x]*F[31,x]<br />
  
    F[246,x] = F[107,x]*F[150,x]*F[31,x]<br />
  
    F[247,x] = F[248,x]<br />
  
    F[248,x] = F[107,x]*F[167,x]*F[31,x]<br />
  
    F[249,x] = F[107,x]*F[169,x]<br />
  
    F[250,x] = F[251,x]<br />
  
    F[251,x] = F[252,x]*F[31,x]<br />
  
    F[252,x] = F[253,x]+F[254,x]<br />
  
    F[253,x] = F[108,x]*F[148,x]<br />
  
    F[254,x] = F[156,x]*F[189,x]<br />
  
    F[255,x] = F[256,x]*F[31,x]<br />
  
    F[256,x] = -F[88,x]+F[257,x]<br />
  
    F[257,x] = 1/F[31,x]*F[258,x]<br />
  
    F[258,x] = -F[1,x]-F[389,x]-F[392,x]+F[259,x]<br />
  
    F[259,x] = F[260,x]+F[270,x]<br />
  
    F[260,x] = F[0,x]+F[261,x]<br />
  
    F[261,x] = F[262,x]+F[264,x]+F[7,x]<br />
  
    F[262,x] = F[263,x]*F[31,x]<br />
  
    F[263,x] = F[49,x]+F[54,x]<br />
  
    F[264,x] = F[265,x]*F[31,x]<br />
  
    F[265,x] = F[266,x]+F[268,x]<br />
  
    F[266,x] = F[267,x]<br />
  
    F[267,x] = F[107,x]*F[16,x]<br />
  
    F[268,x] = F[269,x]<br />
  
    F[269,x] = F[130,x]*F[31,x]<br />
  
    F[270,x] = F[271,x]+F[285,x]<br />
  
    F[271,x] = F[123,x]+F[272,x]+F[7,x]<br />
  
    F[272,x] = F[273,x]*F[31,x]<br />
  
    F[273,x] = F[153,x]+F[274,x]<br />
  
    F[274,x] = F[275,x]<br />
  
    F[275,x] = F[276,x]*F[31,x]<br />
  
    F[276,x] = F[277,x]+F[281,x]<br />
  
    F[277,x] = F[278,x]+F[280,x]<br />
  
    F[278,x] = F[279,x]*F[54,x]<br />
  
    F[279,x] = F[134,x]+F[16,x]<br />
  
    F[280,x] = F[28,x]*F[94,x]<br />
  
    F[281,x] = F[282,x]<br />
  
    F[282,x] = F[28,x]*F[283,x]*F[31,x]<br />
  
    F[283,x] = 1/F[31,x]*F[284,x]<br />
  
    F[284,x] = F[152,x]<br />
  
    F[285,x] = F[286,x]<br />
  
    F[286,x] = F[287,x]*F[31,x]<br />
  
    F[287,x] = F[15,x]+F[288,x]<br />
  
    F[288,x] = F[289,x]<br />
  
    F[289,x] = F[290,x]*F[31,x]<br />
  
    F[290,x] = F[291,x]+F[385,x]<br />
  
    F[291,x] = F[292,x]+F[382,x]<br />
  
    F[292,x] = F[293,x]+F[334,x]<br />
  
    F[293,x] = F[279,x]*F[294,x]<br />
  
    F[294,x] = F[295,x]+F[4,x]<br />
  
    F[295,x] = F[271,x]+F[296,x]<br />
  
    F[296,x] = F[297,x]<br />
  
    F[297,x] = F[298,x]*F[31,x]<br />
  
    F[298,x] = F[299,x]+F[307,x]<br />
  
    F[299,x] = F[300,x]+F[301,x]<br />
  
    F[300,x] = F[158,x]*F[2,x]<br />
  
    F[301,x] = F[302,x]<br />
  
    F[302,x] = F[303,x]*F[31,x]<br />
  
    F[303,x] = F[304,x]+F[47,x]<br />
  
    F[304,x] = F[305,x]<br />
  
    F[305,x] = F[2,x]*F[306,x]<br />
  
    F[306,x] = F[213,x]+F[22,x]<br />
  
    F[307,x] = F[308,x]+F[329,x]<br />
  
    F[308,x] = F[309,x]+F[310,x]<br />
  
    F[309,x] = F[151,x]<br />
  
    F[310,x] = F[311,x]<br />
  
    F[311,x] = F[31,x]*F[312,x]<br />
  
    F[312,x] = F[313,x]+F[323,x]<br />
  
    F[313,x] = F[314,x]*F[317,x]<br />
  
    F[314,x] = F[16,x]+F[315,x]<br />
  
    F[315,x] = F[316,x]<br />
  
    F[316,x] = F[148,x]*F[31,x]<br />
  
    F[317,x] = 1/F[31,x]*F[318,x]<br />
  
    F[318,x] = -F[319,x]-F[322,x]-F[7,x]+F[108,x]<br />
  
    F[319,x] = F[31,x]*F[320,x]<br />
  
    F[320,x] = F[108,x]+F[321,x]<br />
  
    F[321,x] = F[110,x]<br />
  
    F[322,x] = F[156,x]*F[31,x]<br />
  
    F[323,x] = F[324,x]<br />
  
    F[324,x] = F[161,x]*F[31,x]*F[325,x]<br />
  
    F[325,x] = F[153,x]+F[326,x]+F[328,x]<br />
  
    F[326,x] = F[327,x]<br />
  
    F[327,x] = F[167,x]*F[31,x]<br />
  
    F[328,x] = F[150,x]*F[31,x]<br />
  
    F[329,x] = F[330,x]<br />
  
    F[330,x] = F[31,x]*F[331,x]<br />
  
    F[331,x] = F[189,x]+F[332,x]<br />
  
    F[332,x] = F[333,x]<br />
  
    F[333,x] = F[112,x]*F[2,x]<br />
  
    F[334,x] = F[16,x]*F[335,x]<br />
  
    F[335,x] = -F[294,x]+F[336,x]<br />
  
    F[336,x] = F[259,x]+F[337,x]<br />
  
    F[337,x] = F[338,x]<br />
  
    F[338,x] = F[31,x]*F[339,x]<br />
  
    F[339,x] = F[340,x]+F[381,x]<br />
  
    F[340,x] = F[341,x]+F[348,x]<br />
  
    F[341,x] = F[342,x]+F[345,x]<br />
  
    F[342,x] = F[343,x]+F[344,x]<br />
  
    F[343,x] = F[300,x]+F[88,x]<br />
  
    F[344,x] = F[158,x]*F[5,x]<br />
  
    F[345,x] = F[309,x]+F[346,x]+F[347,x]<br />
  
    F[346,x] = F[263,x]*F[31,x]*F[317,x]<br />
  
    F[347,x] = F[273,x]*F[31,x]*F[317,x]<br />
  
    F[348,x] = F[349,x]+F[378,x]<br />
  
    F[349,x] = F[350,x]+F[376,x]<br />
  
    F[350,x] = F[351,x]+F[361,x]<br />
  
    F[351,x] = F[352,x]+F[354,x]<br />
  
    F[352,x] = F[315,x]+F[353,x]<br />
  
    F[353,x] = F[302,x]<br />
  
    F[354,x] = F[355,x]<br />
  
    F[355,x] = F[356,x]<br />
  
    F[356,x] = F[31,x]*F[357,x]<br />
  
    F[357,x] = F[358,x]+F[360,x]<br />
  
    F[358,x] = F[359,x]<br />
  
    F[359,x] = F[10,x]*F[22,x]<br />
  
    F[360,x] = F[44,x]<br />
  
    F[361,x] = F[362,x]<br />
  
    F[362,x] = F[31,x]*F[363,x]<br />
  
    F[363,x] = F[331,x]+F[364,x]<br />
  
    F[364,x] = F[365,x]<br />
  
    F[365,x] = F[112,x]*F[366,x]<br />
  
    F[366,x] = F[367,x]+F[368,x]+F[7,x]<br />
  
    F[367,x] = F[294,x]*F[31,x]<br />
  
    F[368,x] = F[369,x]<br />
  
    F[369,x] = F[31,x]*F[370,x]<br />
  
    F[370,x] = F[371,x]<br />
  
    F[371,x] = F[31,x]*F[372,x]<br />
  
    F[372,x] = F[373,x]+F[375,x]<br />
  
    F[373,x] = F[374,x]+F[4,x]<br />
  
    F[374,x] = F[153,x]*F[2,x]<br />
  
    F[375,x] = F[153,x]*F[5,x]<br />
  
    F[376,x] = F[377,x]<br />
  
    F[377,x] = F[189,x]*F[31,x]<br />
  
    F[378,x] = F[379,x]<br />
  
    F[379,x] = F[380,x]<br />
  
    F[380,x] = F[169,x]*F[31,x]<br />
  
    F[381,x] = F[307,x]<br />
  
    F[382,x] = F[279,x]*F[383,x]<br />
  
    F[383,x] = F[384,x]<br />
  
    F[384,x] = F[31,x]*F[372,x]<br />
  
    F[385,x] = F[386,x]<br />
  
    F[386,x] = F[16,x]*F[31,x]*F[387,x]<br />
  
    F[387,x] = F[373,x]+F[388,x]<br />
  
    F[388,x] = F[153,x]*F[366,x]<br />
  
    F[389,x] = F[31,x]*F[390,x]<br />
  
    F[390,x] = F[263,x]+F[391,x]<br />
  
    F[391,x] = F[49,x]<br />
  
    F[392,x] = F[31,x]*F[393,x]<br />
  
    F[393,x] = F[273,x]+F[394,x]<br />
  
    F[394,x] = F[125,x]+F[94,x]<br />
  
    F[395,x] = F[396,x]<br />
  
    F[396,x] = F[355,x]+F[397,x]<br />
  
    F[397,x] = F[10,x]*F[16,x]<br />
  
    F[398,x] = F[399,x]<br />
  
    F[399,x] = -F[407,x]+F[400,x]<br />
  
    F[400,x] = F[401,x]+F[403,x]<br />
  
    F[401,x] = 1/F[31,x]*F[402,x]<br />
  
    F[402,x] = F[261,x]<br />
  
    F[403,x] = F[404,x]<br />
  
    F[404,x] = F[31,x]*F[405,x]<br />
  
    F[405,x] = F[314,x]+F[406,x]<br />
  
    F[406,x] = F[2,x]*F[28,x]<br />
  
    F[407,x] = F[403,x]+F[408,x]<br />
  
    F[408,x] = F[352,x]+F[409,x]<br />
  
    F[409,x] = F[0,x]*F[16,x]<br />
  
    F[410,x] = F[411,x]<br />
  
    F[411,x] = F[111,x]*F[153,x]*F[31,x]<br />
  
    F[412,x] = F[413,x]+F[414,x]<br />
  
    F[413,x] = F[156,x]*F[98,x]<br />
  
    F[414,x] = F[415,x]<br />
  
    F[415,x] = F[100,x]*F[22,x]*F[31,x]<br />
  
    F[416,x] = F[107,x]*F[31,x]<br />
  
    F[417,x] = F[418,x]+F[423,x]<br />
  
    F[418,x] = F[419,x]<br />
  
    F[419,x] = F[31,x]*F[420,x]<br />
  
    F[420,x] = F[421,x]+F[422,x]<br />
  
    F[421,x] = F[1,x]+F[31,x]<br />
  
    F[422,x] = F[31,x]<br />
  
    F[423,x] = F[424,x]+F[473,x]+F[7,x]<br />
  
    F[424,x] = F[31,x]*F[425,x]<br />
  
    F[425,x] = F[417,x]+F[426,x]<br />
  
    F[426,x] = F[427,x]+F[445,x]<br />
  
    F[427,x] = F[428,x]+F[438,x]+F[7,x]<br />
  
    F[428,x] = F[31,x]*F[429,x]<br />
  
    F[429,x] = F[430,x]+F[431,x]<br />
  
    F[430,x] = F[418,x]+F[427,x]<br />
  
    F[431,x] = F[432,x]+F[435,x]<br />
  
    F[432,x] = F[433,x]<br />
  
    F[433,x] = F[31,x]*F[434,x]<br />
  
    F[434,x] = F[418,x]+F[432,x]<br />
  
    F[435,x] = F[436,x]<br />
  
    F[436,x] = F[31,x]*F[437,x]<br />
  
    F[437,x] = F[427,x]+F[435,x]<br />
  
    F[438,x] = F[31,x]*F[439,x]<br />
  
    F[439,x] = F[440,x]+F[444,x]<br />
  
    F[440,x] = F[441,x]+F[65,x]<br />
  
    F[441,x] = F[442,x]<br />
  
    F[442,x] = F[31,x]*F[443,x]<br />
  
    F[443,x] = F[31,x]+F[441,x]<br />
  
    F[444,x] = F[441,x]<br />
  
    F[445,x] = F[446,x]+F[456,x]+F[460,x]+F[7,x]<br />
  
    F[446,x] = F[31,x]*F[447,x]<br />
  
    F[447,x] = F[448,x]+F[449,x]<br />
  
    F[448,x] = F[423,x]+F[445,x]<br />
  
    F[449,x] = F[450,x]+F[453,x]<br />
  
    F[450,x] = F[451,x]<br />
  
    F[451,x] = F[31,x]*F[452,x]<br />
  
    F[452,x] = F[423,x]+F[450,x]<br />
  
    F[453,x] = F[454,x]<br />
  
    F[454,x] = F[31,x]*F[455,x]<br />
  
    F[455,x] = F[445,x]+F[453,x]<br />
  
    F[456,x] = F[31,x]*F[457,x]<br />
  
    F[457,x] = F[458,x]+F[459,x]<br />
  
    F[458,x] = F[432,x]+F[450,x]<br />
  
    F[459,x] = F[435,x]+F[453,x]<br />
  
    F[460,x] = F[31,x]*F[461,x]<br />
  
    F[461,x] = F[462,x]+F[472,x]<br />
  
    F[462,x] = F[463,x]+F[68,x]<br />
  
    F[463,x] = F[464,x]<br />
  
    F[464,x] = F[31,x]*F[465,x]<br />
  
    F[465,x] = F[463,x]+F[466,x]<br />
  
    F[466,x] = F[467,x]+F[471,x]+F[7,x]<br />
  
    F[467,x] = F[31,x]*F[468,x]<br />
  
    F[468,x] = F[469,x]+F[470,x]<br />
  
    F[469,x] = F[31,x]+F[466,x]<br />
  
    F[470,x] = F[441,x]+F[463,x]<br />
  
    F[471,x] = F[31,x]*F[65,x]<br />
  
    F[472,x] = F[463,x]<br />
  
    F[473,x] = F[31,x]*F[474,x]<br />
  
    F[474,x] = F[475,x]+F[476,x]<br />
  
    F[475,x] = F[466,x]+F[60,x]<br />
  
    F[476,x] = F[466,x]<br />
  
    F[477,x] = F[478,x]<br />
  
    F[478,x] = F[283,x]*F[31,x]<br />
  
    F[479,x] = F[480,x]<br />
  
    F[480,x] = F[31,x]*F[481,x]<br />
  
    F[481,x] = F[482,x]+F[484,x]<br />
  
    F[482,x] = F[483,x]<br />
  
    F[483,x] = F[206,x]*F[31,x]<br />
  
    F[484,x] = F[485,x]<br />
  
    F[485,x] = F[28,x]*F[31,x]*F[481,x]<br />
  
    F[486,x] = F[487,x]<br />
  
    F[487,x] = F[231,x]*F[31,x]<br />
  
    F[488,x] = F[489,x]<br />
  
    F[489,x] = F[2,x]*F[213,x]<br />
  
    F[490,x] = F[491,x]<br />
  
    F[491,x] = F[213,x]*F[271,x]<br />
  
    F[492,x] = F[493,x]<br />
  
    F[493,x] = F[213,x]*F[494,x]<br />
  
    F[494,x] = F[495,x]<br />
  
    F[495,x] = F[31,x]*F[496,x]<br />
  
    F[496,x] = F[497,x]+F[508,x]<br />
  
    F[497,x] = F[498,x]+F[507,x]<br />
  
    F[498,x] = F[499,x]+F[500,x]<br />
  
    F[499,x] = F[16,x]*F[4,x]<br />
  
    F[500,x] = F[501,x]<br />
  
    F[501,x] = F[31,x]*F[502,x]<br />
  
    F[502,x] = F[358,x]+F[503,x]<br />
  
    F[503,x] = F[148,x]+F[504,x]<br />
  
    F[504,x] = F[2,x]*F[505,x]<br />
  
    F[505,x] = 1/F[31,x]*F[506,x]<br />
  
    F[506,x] = F[108,x]<br />
  
    F[507,x] = F[28,x]*F[295,x]<br />
  
    F[508,x] = F[509,x]<br />
  
    F[509,x] = F[31,x]*F[510,x]<br />
  
    F[510,x] = F[511,x]+F[512,x]<br />
  
    F[511,x] = F[279,x]*F[373,x]<br />
  
    F[512,x] = F[10,x]*F[153,x]*F[28,x]<br />
  
    F[513,x] = F[514,x]<br />
  
    F[514,x] = F[31,x]*F[515,x]<br />
  
    F[515,x] = F[516,x]+F[692,x]<br />
  
    F[516,x] = F[517,x]+F[598,x]<br />
  
    F[517,x] = F[518,x]+F[597,x]<br />
  
    F[518,x] = F[293,x]+F[519,x]<br />
  
    F[519,x] = F[520,x]<br />
  
    F[520,x] = F[31,x]*F[521,x]<br />
  
    F[521,x] = 1/F[31,x]*F[522,x]<br />
  
    F[522,x] = F[523,x]<br />
  
    F[523,x] = F[524,x]+F[595,x]<br />
  
    F[524,x] = F[331,x]+F[525,x]<br />
  
    F[525,x] = F[526,x]+F[593,x]<br />
  
    F[526,x] = F[2,x]*F[527,x]<br />
  
    F[527,x] = F[528,x]<br />
  
    F[528,x] = -F[587,x]+F[529,x]<br />
  
    F[529,x] = 1/F[31,x]*F[530,x]<br />
  
    F[530,x] = F[531,x]<br />
  
    F[531,x] = F[532,x]+F[551,x]<br />
  
    F[532,x] = 1/F[0,x]*F[533,x]<br />
  
    F[533,x] = -F[574,x]+F[534,x]<br />
  
    F[534,x] = -F[549,x]+F[535,x]<br />
  
    F[535,x] = 1/F[31,x]*F[536,x]<br />
  
    F[536,x] = F[537,x]<br />
  
    F[537,x] = F[31,x]*F[538,x]<br />
  
    F[538,x] = F[539,x]+F[541,x]<br />
  
    F[539,x] = F[540,x]<br />
  
    F[540,x] = F[22,x]*F[31,x]*F[88,x]<br />
  
    F[541,x] = -F[545,x]+F[542,x]<br />
  
    F[542,x] = 1/F[31,x]*F[543,x]<br />
  
    F[543,x] = F[544,x]<br />
  
    F[544,x] = -F[50,x]+F[152,x]<br />
  
    F[545,x] = F[546,x]+F[547,x]<br />
  
    F[546,x] = F[156,x]*F[50,x]<br />
  
    F[547,x] = F[548,x]<br />
  
    F[548,x] = F[22,x]*F[309,x]*F[31,x]<br />
  
    F[549,x] = F[550,x]+F[552,x]+F[566,x]<br />
  
    F[550,x] = F[34,x]+F[551,x]<br />
  
    F[551,x] = F[110,x]<br />
  
    F[552,x] = F[31,x]*F[553,x]<br />
  
    F[553,x] = F[554,x]+F[560,x]<br />
  
    F[554,x] = F[555,x]<br />
  
    F[555,x] = F[31,x]*F[556,x]<br />
  
    F[556,x] = F[557,x]+F[559,x]<br />
  
    F[557,x] = F[390,x]*F[558,x]<br />
  
    F[558,x] = F[112,x]+F[22,x]<br />
  
    F[559,x] = F[213,x]*F[54,x]<br />
  
    F[560,x] = F[561,x]<br />
  
    F[561,x] = F[31,x]*F[562,x]<br />
  
    F[562,x] = F[563,x]+F[564,x]<br />
  
    F[563,x] = F[393,x]*F[558,x]<br />
  
    F[564,x] = F[565,x]<br />
  
    F[565,x] = F[16,x]*F[213,x]*F[53,x]<br />
  
    F[566,x] = F[567,x]<br />
  
    F[567,x] = F[31,x]*F[568,x]<br />
  
    F[568,x] = F[569,x]<br />
  
    F[569,x] = F[31,x]*F[570,x]<br />
  
    F[570,x] = F[571,x]+F[572,x]<br />
  
    F[571,x] = F[257,x]*F[558,x]<br />
  
    F[572,x] = F[573,x]<br />
  
    F[573,x] = F[16,x]*F[213,x]*F[88,x]<br />
  
    F[574,x] = F[575,x]<br />
  
    F[575,x] = F[31,x]*F[576,x]<br />
  
    F[576,x] = F[577,x]+F[582,x]<br />
  
    F[577,x] = F[578,x]+F[580,x]<br />
  
    F[578,x] = F[10,x]*F[579,x]<br />
  
    F[579,x] = F[505,x]+F[527,x]<br />
  
    F[580,x] = F[581,x]<br />
  
    F[581,x] = F[558,x]*F[9,x]<br />
  
    F[582,x] = F[583,x]+F[585,x]<br />
  
    F[583,x] = F[10,x]*F[584,x]<br />
  
    F[584,x] = F[212,x]<br />
  
    F[585,x] = F[586,x]<br />
  
    F[586,x] = F[213,x]*F[295,x]<br />
  
    F[587,x] = F[588,x]+F[590,x]<br />
  
    F[588,x] = 1/F[31,x]*F[589,x]<br />
  
    F[589,x] = F[320,x]<br />
  
    F[590,x] = F[591,x]<br />
  
    F[591,x] = F[592,x]<br />
  
    F[592,x] = F[211,x]*F[31,x]<br />
  
    F[593,x] = F[594,x]<br />
  
    F[594,x] = F[112,x]*F[6,x]<br />
  
    F[595,x] = F[596,x]<br />
  
    F[596,x] = F[112,x]*F[295,x]<br />
  
    F[597,x] = F[28,x]*F[335,x]<br />
  
    F[598,x] = F[599,x]<br />
  
    F[599,x] = -F[688,x]+F[600,x]<br />
  
    F[600,x] = 1/F[31,x]*F[601,x]<br />
  
    F[601,x] = F[602,x]<br />
  
    F[602,x] = F[603,x]+F[613,x]<br />
  
    F[603,x] = F[366,x]+F[604,x]+F[611,x]<br />
  
    F[604,x] = F[31,x]*F[605,x]<br />
  
    F[605,x] = F[606,x]+F[607,x]<br />
  
    F[606,x] = F[156,x]*F[366,x]<br />
  
    F[607,x] = F[608,x]<br />
  
    F[608,x] = F[22,x]*F[31,x]*F[609,x]<br />
  
    F[609,x] = F[610,x]<br />
  
    F[610,x] = F[31,x]*F[387,x]<br />
  
    F[611,x] = F[612,x]<br />
  
    F[612,x] = F[16,x]*F[31,x]*F[609,x]<br />
  
    F[613,x] = -F[687,x]+F[614,x]<br />
  
    F[614,x] = F[615,x]+F[685,x]<br />
  
    F[615,x] = F[616,x]+F[621,x]<br />
  
    F[616,x] = F[617,x]<br />
  
    F[617,x] = F[379,x]+F[618,x]<br />
  
    F[618,x] = F[2,x]*F[619,x]<br />
  
    F[619,x] = F[620,x]<br />
  
    F[620,x] = F[31,x]*F[591,x]<br />
  
    F[621,x] = -F[679,x]+F[622,x]<br />
  
    F[622,x] = F[623,x]+F[648,x]<br />
  
    F[623,x] = F[624,x]<br />
  
    F[624,x] = F[31,x]*F[625,x]<br />
  
    F[625,x] = F[626,x]+F[646,x]<br />
  
    F[626,x] = F[627,x]+F[629,x]<br />
  
    F[627,x] = F[503,x]+F[628,x]<br />
  
    F[628,x] = F[366,x]*F[505,x]<br />
  
    F[629,x] = F[630,x]<br />
  
    F[630,x] = F[31,x]*F[631,x]<br />
  
    F[631,x] = 1/F[31,x]*F[632,x]<br />
  
    F[632,x] = F[633,x]<br />
  
    F[633,x] = F[634,x]+F[645,x]<br />
  
    F[634,x] = 1/F[31,x]*F[635,x]<br />
  
    F[635,x] = F[636,x]<br />
  
    F[636,x] = F[637,x]+F[638,x]+F[642,x]+F[7,x]<br />
  
    F[637,x] = F[377,x]<br />
  
    F[638,x] = F[639,x]<br />
  
    F[639,x] = F[31,x]*F[54,x]*F[640,x]<br />
  
    F[640,x] = F[641,x]<br />
  
    F[641,x] = F[31,x]*F[527,x]<br />
  
    F[642,x] = F[31,x]*F[643,x]<br />
  
    F[643,x] = F[644,x]<br />
  
    F[644,x] = F[112,x]*F[16,x]*F[31,x]*F[54,x]<br />
  
    F[645,x] = F[16,x]*F[525,x]<br />
  
    F[646,x] = F[647,x]<br />
  
    F[647,x] = F[31,x]*F[521,x]<br />
  
    F[648,x] = F[649,x]+F[657,x]<br />
  
    F[649,x] = F[379,x]+F[650,x]<br />
  
    F[650,x] = F[651,x]<br />
  
    F[651,x] = F[31,x]*F[652,x]<br />
  
    F[652,x] = F[653,x]+F[655,x]<br />
  
    F[653,x] = F[654,x]<br />
  
    F[654,x] = F[209,x]*F[263,x]*F[31,x]<br />
  
    F[655,x] = F[656,x]<br />
  
    F[656,x] = F[209,x]*F[273,x]*F[31,x]<br />
  
    F[657,x] = F[658,x]<br />
  
    F[658,x] = F[209,x]*F[31,x]*F[659,x]<br />
  
    F[659,x] = F[271,x]+F[660,x]<br />
  
    F[660,x] = F[661,x]<br />
  
    F[661,x] = F[31,x]*F[662,x]<br />
  
    F[662,x] = F[663,x]+F[677,x]<br />
  
    F[663,x] = F[664,x]+F[665,x]<br />
  
    F[664,x] = F[156,x]*F[271,x]<br />
  
    F[665,x] = F[666,x]+F[668,x]<br />
  
    F[666,x] = F[49,x]+F[667,x]<br />
  
    F[667,x] = F[108,x]*F[2,x]<br />
  
    F[668,x] = F[669,x]<br />
  
    F[669,x] = F[16,x]*F[31,x]*F[670,x]<br />
  
    F[670,x] = F[671,x]+F[675,x]<br />
  
    F[671,x] = F[672,x]<br />
  
    F[672,x] = F[31,x]*F[673,x]<br />
  
    F[673,x] = F[20,x]+F[674,x]<br />
  
    F[674,x] = F[4,x]*F[505,x]<br />
  
    F[675,x] = F[676,x]<br />
  
    F[676,x] = F[22,x]*F[259,x]*F[31,x]<br />
  
    F[677,x] = F[678,x]<br />
  
    F[678,x] = F[22,x]*F[295,x]*F[31,x]<br />
  
    F[679,x] = F[616,x]+F[680,x]<br />
  
    F[680,x] = -F[649,x]+F[681,x]<br />
  
    F[681,x] = -F[682,x]+F[325,x]<br />
  
    F[682,x] = F[409,x]+F[683,x]<br />
  
    F[683,x] = F[684,x]<br />
  
    F[684,x] = F[28,x]*F[31,x]*F[325,x]<br />
  
    F[685,x] = F[686,x]<br />
  
    F[686,x] = F[209,x]*F[31,x]*F[609,x]<br />
  
    F[687,x] = F[648,x]<br />
  
    F[688,x] = F[518,x]+F[689,x]<br />
  
    F[689,x] = F[690,x]<br />
  
    F[690,x] = F[31,x]*F[387,x]*F[691,x]<br />
  
    F[691,x] = F[209,x]+F[28,x]<br />
  
    F[692,x] = F[689,x]<br />
  
    F[693,x] = F[31,x]*F[694,x]<br />
  
    F[694,x] = -F[4,x]+F[259,x]<br />
  
  System of equations in latex syntax:<br />
  
    F_{0}\! \left(x \right) = F_{1}\! \left(x \right)+F_{2}\! \left(x \right)<br />
  
    F_{1}\! \left(x \right) = 1<br />
  
    F_{2}\! \left(x \right) = F_{3}\! \left(x \right)<br />
  
    F_{3}\! \left(x \right) = F_{31}\! \left(x \right) F_{4}\! \left(x \right)<br />
  
    F_{4}\! \left(x \right) = F_{0}\! \left(x \right)+F_{5}\! \left(x \right)<br />
  
    F_{5}\! \left(x \right) = F_{2}\! \left(x \right)+F_{6}\! \left(x \right)<br />
  
    F_{6}\! \left(x \right) = F_{693}\! \left(x \right)+F_{7}\! \left(x \right)+F_{8}\! \left(x \right)<br />
  
    F_{7}\! \left(x \right) = 0<br />
  
    F_{8}\! \left(x \right) = F_{31}\! \left(x \right) F_{9}\! \left(x \right)<br />
  
    F_{9}\! \left(x \right) = F_{10}\! \left(x \right)+F_{11}\! \left(x \right)<br />
  
    F_{10}\! \left(x \right) = F_{2}\! \left(x \right)+F_{6}\! \left(x \right)<br />
  
    F_{11}\! \left(x \right) = F_{12}\! \left(x \right)<br />
  
    F_{12}\! \left(x \right) = F_{13}\! \left(x \right) F_{31}\! \left(x \right)<br />
  
    F_{13}\! \left(x \right) = F_{14}\! \left(x \right)+F_{513}\! \left(x \right)<br />
  
    F_{14}\! \left(x \right) = F_{15}\! \left(x \right)+F_{17}\! \left(x \right)<br />
  
    F_{15}\! \left(x \right) = F_{16}\! \left(x \right) F_{9}\! \left(x \right)<br />
  
    F_{16}\! \left(x \right) = F_{16}\! \left(x \right) x +F_{16} \left(x \right)^{2}-2 F_{16}\! \left(x \right)+2<br />
  
    F_{17}\! \left(x \right) = F_{18}\! \left(x \right)<br />
  
    F_{18}\! \left(x \right) = F_{19}\! \left(x \right) F_{31}\! \left(x \right)<br />
  
    F_{19}\! \left(x \right) = F_{20}\! \left(x \right)+F_{42}\! \left(x \right)<br />
  
    F_{20}\! \left(x \right) = F_{21}\! \left(x \right)<br />
  
    F_{21}\! \left(x \right) = F_{22}\! \left(x \right) F_{9}\! \left(x \right)<br />
  
    F_{22}\! \left(x \right) = \frac{F_{23}\! \left(x \right)}{F_{31}\! \left(x \right)}<br />
  
    F_{23}\! \left(x \right) = F_{24}\! \left(x \right)<br />
  
    F_{24}\! \left(x \right) = F_{25}\! \left(x \right)<br />
  
    F_{25}\! \left(x \right) = F_{26}\! \left(x \right) F_{31}\! \left(x \right)<br />
  
    F_{26}\! \left(x \right) = F_{27}\! \left(x \right)+F_{33}\! \left(x \right)<br />
  
    F_{27}\! \left(x \right) = F_{28}\! \left(x \right)+F_{32}\! \left(x \right)<br />
  
    F_{28}\! \left(x \right) = F_{16}\! \left(x \right)+F_{29}\! \left(x \right)<br />
  
    F_{29}\! \left(x \right) = F_{30}\! \left(x \right)<br />
  
    F_{30}\! \left(x \right) = F_{22}\! \left(x \right) F_{31}\! \left(x \right)<br />
  
    F_{31}\! \left(x \right) = x<br />
  
    F_{32}\! \left(x \right) = F_{33}\! \left(x \right)<br />
  
    F_{33}\! \left(x \right) = F_{34}\! \left(x \right)+F_{35}\! \left(x \right)<br />
  
    F_{34}\! \left(x \right) = F_{24}\! \left(x \right)<br />
  
    F_{35}\! \left(x \right) = F_{36}\! \left(x \right)<br />
  
    F_{36}\! \left(x \right) = F_{31}\! \left(x \right) F_{34}\! \left(x \right) F_{37}\! \left(x \right)<br />
  
    F_{37}\! \left(x \right) = \frac{F_{38}\! \left(x \right)}{F_{31}\! \left(x \right)}<br />
  
    F_{38}\! \left(x \right) = F_{39}\! \left(x \right)<br />
  
    F_{39}\! \left(x \right) = F_{40}\! \left(x \right)+F_{41}\! \left(x \right)+F_{7}\! \left(x \right)<br />
  
    F_{40}\! \left(x \right) = F_{31}\! \left(x \right) F_{33}\! \left(x \right)<br />
  
    F_{41}\! \left(x \right) = F_{28}\! \left(x \right) F_{31}\! \left(x \right)<br />
  
    F_{42}\! \left(x \right) = F_{43}\! \left(x \right)<br />
  
    F_{43}\! \left(x \right) = F_{44}\! \left(x \right)+F_{492}\! \left(x \right)<br />
  
    F_{44}\! \left(x \right) = F_{45}\! \left(x \right)+F_{490}\! \left(x \right)<br />
  
    F_{45}\! \left(x \right) = F_{46}\! \left(x \right)<br />
  
    F_{46}\! \left(x \right) = F_{47}\! \left(x \right)+F_{488}\! \left(x \right)<br />
  
    F_{47}\! \left(x \right) = F_{48}\! \left(x \right)+F_{486}\! \left(x \right)<br />
  
    F_{48}\! \left(x \right) = F_{479}\! \left(x \right)+F_{49}\! \left(x \right)<br />
  
    F_{49}\! \left(x \right) = F_{50}\! \left(x \right)<br />
  
    F_{50}\! \left(x \right) = F_{51}\! \left(x \right)<br />
  
    F_{51}\! \left(x \right) = F_{31}\! \left(x \right) F_{52}\! \left(x \right)<br />
  
    F_{52}\! \left(x \right) = F_{477}\! \left(x \right)+F_{53}\! \left(x \right)<br />
  
    F_{53}\! \left(x \right) = F_{54}\! \left(x \right)+F_{94}\! \left(x \right)<br />
  
    F_{54}\! \left(x \right) = F_{55}\! \left(x \right)+F_{86}\! \left(x \right)<br />
  
    F_{55}\! \left(x \right) = F_{1}\! \left(x \right)+F_{56}\! \left(x \right)<br />
  
    F_{56}\! \left(x \right) = F_{57}\! \left(x \right)<br />
  
    F_{57}\! \left(x \right) = F_{31}\! \left(x \right) F_{58}\! \left(x \right)<br />
  
    F_{58}\! \left(x \right) = F_{55}\! \left(x \right)+F_{59}\! \left(x \right)<br />
  
    F_{59}\! \left(x \right) = F_{60}\! \left(x \right)+F_{71}\! \left(x \right)<br />
  
    F_{60}\! \left(x \right) = F_{61}\! \left(x \right)<br />
  
    F_{61}\! \left(x \right) = F_{31}\! \left(x \right) F_{62}\! \left(x \right)<br />
  
    F_{62}\! \left(x \right) = F_{63}\! \left(x \right)+F_{64}\! \left(x \right)<br />
  
    F_{63}\! \left(x \right) = F_{1}\! \left(x \right)+F_{60}\! \left(x \right)<br />
  
    F_{64}\! \left(x \right) = F_{65}\! \left(x \right)+F_{68}\! \left(x \right)<br />
  
    F_{65}\! \left(x \right) = F_{66}\! \left(x \right)<br />
  
    F_{66}\! \left(x \right) = F_{31}\! \left(x \right) F_{67}\! \left(x \right)<br />
  
    F_{67}\! \left(x \right) = F_{1}\! \left(x \right)+F_{65}\! \left(x \right)<br />
  
    F_{68}\! \left(x \right) = F_{69}\! \left(x \right)<br />
  
    F_{69}\! \left(x \right) = F_{31}\! \left(x \right) F_{70}\! \left(x \right)<br />
  
    F_{70}\! \left(x \right) = F_{60}\! \left(x \right)+F_{68}\! \left(x \right)<br />
  
    F_{71}\! \left(x \right) = F_{7}\! \left(x \right)+F_{72}\! \left(x \right)+F_{82}\! \left(x \right)<br />
  
    F_{72}\! \left(x \right) = F_{31}\! \left(x \right) F_{73}\! \left(x \right)<br />
  
    F_{73}\! \left(x \right) = F_{74}\! \left(x \right)+F_{75}\! \left(x \right)<br />
  
    F_{74}\! \left(x \right) = F_{56}\! \left(x \right)+F_{71}\! \left(x \right)<br />
  
    F_{75}\! \left(x \right) = F_{76}\! \left(x \right)+F_{79}\! \left(x \right)<br />
  
    F_{76}\! \left(x \right) = F_{77}\! \left(x \right)<br />
  
    F_{77}\! \left(x \right) = F_{31}\! \left(x \right) F_{78}\! \left(x \right)<br />
  
    F_{78}\! \left(x \right) = F_{56}\! \left(x \right)+F_{76}\! \left(x \right)<br />
  
    F_{79}\! \left(x \right) = F_{80}\! \left(x \right)<br />
  
    F_{80}\! \left(x \right) = F_{31}\! \left(x \right) F_{81}\! \left(x \right)<br />
  
    F_{81}\! \left(x \right) = F_{71}\! \left(x \right)+F_{79}\! \left(x \right)<br />
  
    F_{82}\! \left(x \right) = F_{31}\! \left(x \right) F_{83}\! \left(x \right)<br />
  
    F_{83}\! \left(x \right) = F_{84}\! \left(x \right)+F_{85}\! \left(x \right)<br />
  
    F_{84}\! \left(x \right) = F_{65}\! \left(x \right)+F_{76}\! \left(x \right)<br />
  
    F_{85}\! \left(x \right) = F_{68}\! \left(x \right)+F_{79}\! \left(x \right)<br />
  
    F_{86}\! \left(x \right) = F_{7}\! \left(x \right)+F_{87}\! \left(x \right)+F_{91}\! \left(x \right)<br />
  
    F_{87}\! \left(x \right) = F_{31}\! \left(x \right) F_{88}\! \left(x \right)<br />
  
    F_{88}\! \left(x \right) = \frac{F_{89}\! \left(x \right)}{F_{31}\! \left(x \right)}<br />
  
    F_{89}\! \left(x \right) = -F_{1}\! \left(x \right)-F_{90}\! \left(x \right)+F_{4}\! \left(x \right)<br />
  
    F_{90}\! \left(x \right) = F_{31}\! \left(x \right) F_{53}\! \left(x \right)<br />
  
    F_{91}\! \left(x \right) = F_{31}\! \left(x \right) F_{92}\! \left(x \right)<br />
  
    F_{92}\! \left(x \right) = F_{86}\! \left(x \right)+F_{93}\! \left(x \right)<br />
  
    F_{93}\! \left(x \right) = -F_{417}\! \left(x \right)+F_{94}\! \left(x \right)<br />
  
    F_{94}\! \left(x \right) = F_{95}\! \left(x \right)<br />
  
    F_{95}\! \left(x \right) = F_{50}\! \left(x \right)+F_{96}\! \left(x \right)<br />
  
    F_{96}\! \left(x \right) = -F_{97}\! \left(x \right)+F_{49}\! \left(x \right)<br />
  
    F_{97}\! \left(x \right) = F_{31}\! \left(x \right)+F_{98}\! \left(x \right)<br />
  
    F_{98}\! \left(x \right) = F_{416}\! \left(x \right)+F_{7}\! \left(x \right)+F_{99}\! \left(x \right)<br />
  
    F_{99}\! \left(x \right) = F_{100}\! \left(x \right) F_{31}\! \left(x \right)<br />
  
    F_{100}\! \left(x \right) = F_{101}\! \left(x \right)+F_{97}\! \left(x \right)<br />
  
    F_{101}\! \left(x \right) = F_{102}\! \left(x \right)+F_{98}\! \left(x \right)<br />
  
    F_{102}\! \left(x \right) = F_{103}\! \left(x \right)<br />
  
    F_{103}\! \left(x \right) = F_{104}\! \left(x \right) F_{31}\! \left(x \right)<br />
  
    F_{104}\! \left(x \right) = F_{105}\! \left(x \right)+F_{412}\! \left(x \right)<br />
  
    F_{105}\! \left(x \right) = F_{106}\! \left(x \right)+F_{410}\! \left(x \right)<br />
  
    F_{106}\! \left(x \right) = F_{107}\! \left(x \right) F_{108}\! \left(x \right)<br />
  
    F_{107}\! \left(x \right) = F_{107}\! \left(x \right) x +F_{107} \left(x \right)^{2}+x<br />
  
    F_{108}\! \left(x \right) = F_{109}\! \left(x \right)+F_{97}\! \left(x \right)<br />
  
    F_{109}\! \left(x \right) = F_{110}\! \left(x \right)<br />
  
    F_{110}\! \left(x \right) = F_{111}\! \left(x \right) F_{31}\! \left(x \right)<br />
  
    F_{111}\! \left(x \right) = F_{112}\! \left(x \right)+F_{213}\! \left(x \right)<br />
  
    F_{112}\! \left(x \right) = \frac{F_{113}\! \left(x \right)}{F_{31}\! \left(x \right)}<br />
  
    F_{113}\! \left(x \right) = F_{114}\! \left(x \right)<br />
  
    F_{114}\! \left(x \right) = -F_{97}\! \left(x \right)+F_{115}\! \left(x \right)<br />
  
    F_{115}\! \left(x \right) = \frac{F_{116}\! \left(x \right)}{F_{366}\! \left(x \right)}<br />
  
    F_{116}\! \left(x \right) = -F_{398}\! \left(x \right)+F_{117}\! \left(x \right)<br />
  
    F_{117}\! \left(x \right) = F_{118}\! \left(x \right)<br />
  
    F_{118}\! \left(x \right) = -F_{395}\! \left(x \right)+F_{119}\! \left(x \right)<br />
  
    F_{119}\! \left(x \right) = \frac{F_{120}\! \left(x \right)}{F_{31}\! \left(x \right)}<br />
  
    F_{120}\! \left(x \right) = F_{121}\! \left(x \right)<br />
  
    F_{121}\! \left(x \right) = F_{122}\! \left(x \right)+F_{124}\! \left(x \right)+F_{255}\! \left(x \right)+F_{7}\! \left(x \right)<br />
  
    F_{122}\! \left(x \right) = F_{123}\! \left(x \right)<br />
  
    F_{123}\! \left(x \right) = F_{31}\! \left(x \right) F_{49}\! \left(x \right)<br />
  
    F_{124}\! \left(x \right) = F_{125}\! \left(x \right) F_{31}\! \left(x \right)<br />
  
    F_{125}\! \left(x \right) = F_{126}\! \left(x \right)<br />
  
    F_{126}\! \left(x \right) = F_{127}\! \left(x \right) F_{31}\! \left(x \right)<br />
  
    F_{127}\! \left(x \right) = F_{128}\! \left(x \right)+F_{250}\! \left(x \right)<br />
  
    F_{128}\! \left(x \right) = F_{129}\! \left(x \right)<br />
  
    F_{129}\! \left(x \right) = F_{130}\! \left(x \right)+F_{249}\! \left(x \right)<br />
  
    F_{130}\! \left(x \right) = F_{131}\! \left(x \right)+F_{132}\! \left(x \right)<br />
  
    F_{131}\! \left(x \right) = F_{107}\! \left(x \right) F_{54}\! \left(x \right)<br />
  
    F_{132}\! \left(x \right) = F_{133}\! \left(x \right)+F_{246}\! \left(x \right)+F_{247}\! \left(x \right)<br />
  
    F_{133}\! \left(x \right) = F_{134}\! \left(x \right) F_{54}\! \left(x \right)<br />
  
    F_{134}\! \left(x \right) = -F_{241}\! \left(x \right)+F_{135}\! \left(x \right)<br />
  
    F_{135}\! \left(x \right) = -F_{196}\! \left(x \right)+F_{136}\! \left(x \right)<br />
  
    F_{136}\! \left(x \right) = F_{137}\! \left(x \right)+F_{147}\! \left(x \right)<br />
  
    F_{137}\! \left(x \right) = F_{138}\! \left(x \right)+F_{139}\! \left(x \right)<br />
  
    F_{138}\! \left(x \right) = F_{59}\! \left(x \right)<br />
  
    F_{139}\! \left(x \right) = F_{140}\! \left(x \right)<br />
  
    F_{140}\! \left(x \right) = F_{141}\! \left(x \right) F_{31}\! \left(x \right)<br />
  
    F_{141}\! \left(x \right) = F_{142}\! \left(x \right)+F_{186}\! \left(x \right)<br />
  
    F_{142}\! \left(x \right) = F_{143}\! \left(x \right)+F_{144}\! \left(x \right)<br />
  
    F_{143}\! \left(x \right) = F_{139}\! \left(x \right)+F_{86}\! \left(x \right)<br />
  
    F_{144}\! \left(x \right) = F_{145}\! \left(x \right)<br />
  
    F_{145}\! \left(x \right) = F_{146}\! \left(x \right) F_{31}\! \left(x \right) F_{67}\! \left(x \right)<br />
  
    F_{146}\! \left(x \right) = F_{143}\! \left(x \right)+F_{147}\! \left(x \right)<br />
  
    F_{147}\! \left(x \right) = -F_{195}\! \left(x \right)+F_{148}\! \left(x \right)<br />
  
    F_{148}\! \left(x \right) = F_{149}\! \left(x \right)+F_{165}\! \left(x \right)+F_{54}\! \left(x \right)<br />
  
    F_{149}\! \left(x \right) = F_{150}\! \left(x \right) F_{31}\! \left(x \right)<br />
  
    F_{150}\! \left(x \right) = \frac{F_{151}\! \left(x \right)}{F_{31}\! \left(x \right)}<br />
  
    F_{151}\! \left(x \right) = F_{152}\! \left(x \right)<br />
  
    F_{152}\! \left(x \right) = -F_{153}\! \left(x \right)+F_{88}\! \left(x \right)<br />
  
    F_{153}\! \left(x \right) = F_{1}\! \left(x \right)+F_{154}\! \left(x \right)+F_{157}\! \left(x \right)<br />
  
    F_{154}\! \left(x \right) = F_{155}\! \left(x \right) F_{31}\! \left(x \right)<br />
  
    F_{155}\! \left(x \right) = F_{156}\! \left(x \right)+F_{34}\! \left(x \right)<br />
  
    F_{156}\! \left(x \right) = F_{16}\! \left(x \right)+F_{24}\! \left(x \right)<br />
  
    F_{157}\! \left(x \right) = F_{158}\! \left(x \right) F_{31}\! \left(x \right)<br />
  
    F_{158}\! \left(x \right) = F_{153}\! \left(x \right)+F_{159}\! \left(x \right)<br />
  
    F_{159}\! \left(x \right) = F_{160}\! \left(x \right)<br />
  
    F_{160}\! \left(x \right) = F_{161}\! \left(x \right) F_{31}\! \left(x \right)<br />
  
    F_{161}\! \left(x \right) = \frac{F_{162}\! \left(x \right)}{F_{31}\! \left(x \right)}<br />
  
    F_{162}\! \left(x \right) = F_{163}\! \left(x \right)<br />
  
    F_{163}\! \left(x \right) = -F_{156}\! \left(x \right)-F_{164}\! \left(x \right)+F_{22}\! \left(x \right)<br />
  
    F_{164}\! \left(x \right) = F_{22}\! \left(x \right) F_{31}\! \left(x \right)<br />
  
    F_{165}\! \left(x \right) = F_{166}\! \left(x \right)<br />
  
    F_{166}\! \left(x \right) = F_{167}\! \left(x \right) F_{31}\! \left(x \right)<br />
  
    F_{167}\! \left(x \right) = F_{168}\! \left(x \right)+F_{173}\! \left(x \right)<br />
  
    F_{168}\! \left(x \right) = F_{148}\! \left(x \right)+F_{169}\! \left(x \right)<br />
  
    F_{169}\! \left(x \right) = F_{170}\! \left(x \right)<br />
  
    F_{170}\! \left(x \right) = F_{171}\! \left(x \right) F_{31}\! \left(x \right)<br />
  
    F_{171}\! \left(x \right) = \frac{F_{172}\! \left(x \right)}{F_{31}\! \left(x \right)}<br />
  
    F_{172}\! \left(x \right) = F_{47}\! \left(x \right)<br />
  
    F_{173}\! \left(x \right) = F_{174}\! \left(x \right)+F_{177}\! \left(x \right)<br />
  
    F_{174}\! \left(x \right) = F_{175}\! \left(x \right)+F_{49}\! \left(x \right)<br />
  
    F_{175}\! \left(x \right) = F_{176}\! \left(x \right)<br />
  
    F_{176}\! \left(x \right) = F_{174}\! \left(x \right) F_{31}\! \left(x \right)<br />
  
    F_{177}\! \left(x \right) = -F_{144}\! \left(x \right)+F_{178}\! \left(x \right)<br />
  
    F_{178}\! \left(x \right) = -F_{181}\! \left(x \right)+F_{179}\! \left(x \right)<br />
  
    F_{179}\! \left(x \right) = \frac{F_{180}\! \left(x \right)}{F_{31}\! \left(x \right)}<br />
  
    F_{180}\! \left(x \right) = F_{93}\! \left(x \right)<br />
  
    F_{181}\! \left(x \right) = -F_{184}\! \left(x \right)+F_{182}\! \left(x \right)<br />
  
    F_{182}\! \left(x \right) = \frac{F_{183}\! \left(x \right)}{F_{31}\! \left(x \right)}<br />
  
    F_{183}\! \left(x \right) = F_{93}\! \left(x \right)<br />
  
    F_{184}\! \left(x \right) = F_{185}\! \left(x \right)<br />
  
    F_{185}\! \left(x \right) = F_{186}\! \left(x \right)+F_{188}\! \left(x \right)<br />
  
    F_{186}\! \left(x \right) = F_{187}\! \left(x \right)<br />
  
    F_{187}\! \left(x \right) = F_{143}\! \left(x \right) F_{31}\! \left(x \right) F_{67}\! \left(x \right)<br />
  
    F_{188}\! \left(x \right) = -F_{193}\! \left(x \right)+F_{189}\! \left(x \right)<br />
  
    F_{189}\! \left(x \right) = F_{190}\! \left(x \right)<br />
  
    F_{190}\! \left(x \right) = -F_{168}\! \left(x \right)+F_{191}\! \left(x \right)<br />
  
    F_{191}\! \left(x \right) = \frac{F_{192}\! \left(x \right)}{F_{31}\! \left(x \right)}<br />
  
    F_{192}\! \left(x \right) = F_{94}\! \left(x \right)<br />
  
    F_{193}\! \left(x \right) = F_{194}\! \left(x \right)<br />
  
    F_{194}\! \left(x \right) = F_{195}\! \left(x \right) F_{31}\! \left(x \right) F_{67}\! \left(x \right)<br />
  
    F_{195}\! \left(x \right) = F_{137}\! \left(x \right)+F_{54}\! \left(x \right)<br />
  
    F_{196}\! \left(x \right) = -F_{197}\! \left(x \right)+F_{148}\! \left(x \right)<br />
  
    F_{197}\! \left(x \right) = -F_{198}\! \left(x \right)+F_{52}\! \left(x \right)<br />
  
    F_{198}\! \left(x \right) = F_{199}\! \left(x \right)+F_{94}\! \left(x \right)<br />
  
    F_{199}\! \left(x \right) = F_{200}\! \left(x \right)<br />
  
    F_{200}\! \left(x \right) = F_{201}\! \left(x \right) F_{31}\! \left(x \right)<br />
  
    F_{201}\! \left(x \right) = F_{202}\! \left(x \right)+F_{239}\! \left(x \right)<br />
  
    F_{202}\! \left(x \right) = F_{203}\! \left(x \right)<br />
  
    F_{203}\! \left(x \right) = F_{204}\! \left(x \right) F_{31}\! \left(x \right)<br />
  
    F_{204}\! \left(x \right) = F_{205}\! \left(x \right)+F_{235}\! \left(x \right)<br />
  
    F_{205}\! \left(x \right) = F_{206}\! \left(x \right)+F_{234}\! \left(x \right)<br />
  
    F_{206}\! \left(x \right) = F_{207}\! \left(x \right)+F_{208}\! \left(x \right)<br />
  
    F_{207}\! \left(x \right) = F_{148}\! \left(x \right) F_{28}\! \left(x \right)<br />
  
    F_{208}\! \left(x \right) = F_{209}\! \left(x \right) F_{54}\! \left(x \right)<br />
  
    F_{209}\! \left(x \right) = F_{210}\! \left(x \right)<br />
  
    F_{210}\! \left(x \right) = F_{211}\! \left(x \right) F_{31}\! \left(x \right)<br />
  
    F_{211}\! \left(x \right) = \frac{F_{212}\! \left(x \right)}{F_{31}\! \left(x \right)}<br />
  
    F_{212}\! \left(x \right) = F_{213}\! \left(x \right)<br />
  
    F_{213}\! \left(x \right) = \frac{F_{214}\! \left(x \right)}{F_{31}\! \left(x \right)}<br />
  
    F_{214}\! \left(x \right) = F_{215}\! \left(x \right)<br />
  
    F_{215}\! \left(x \right) = -F_{41}\! \left(x \right)-F_{7}\! \left(x \right)+F_{216}\! \left(x \right)<br />
  
    F_{216}\! \left(x \right) = F_{217}\! \left(x \right)<br />
  
    F_{217}\! \left(x \right) = -F_{218}\! \left(x \right)+F_{48}\! \left(x \right)<br />
  
    F_{218}\! \left(x \right) = F_{219}\! \left(x \right)<br />
  
    F_{219}\! \left(x \right) = F_{220}\! \left(x \right) F_{31}\! \left(x \right)<br />
  
    F_{220}\! \left(x \right) = F_{221}\! \left(x \right)+F_{231}\! \left(x \right)<br />
  
    F_{221}\! \left(x \right) = F_{222}\! \left(x \right)<br />
  
    F_{222}\! \left(x \right) = -F_{225}\! \left(x \right)+F_{223}\! \left(x \right)<br />
  
    F_{223}\! \left(x \right) = \frac{F_{224}\! \left(x \right)}{F_{31}\! \left(x \right)}<br />
  
    F_{224}\! \left(x \right) = F_{198}\! \left(x \right)<br />
  
    F_{225}\! \left(x \right) = -F_{228}\! \left(x \right)+F_{226}\! \left(x \right)<br />
  
    F_{226}\! \left(x \right) = \frac{F_{227}\! \left(x \right)}{F_{31}\! \left(x \right)}<br />
  
    F_{227}\! \left(x \right) = F_{196}\! \left(x \right)<br />
  
    F_{228}\! \left(x \right) = -F_{171}\! \left(x \right)+F_{229}\! \left(x \right)<br />
  
    F_{229}\! \left(x \right) = \frac{F_{230}\! \left(x \right)}{F_{31}\! \left(x \right)}<br />
  
    F_{230}\! \left(x \right) = F_{196}\! \left(x \right)<br />
  
    F_{231}\! \left(x \right) = F_{232}\! \left(x \right)+F_{47}\! \left(x \right)<br />
  
    F_{232}\! \left(x \right) = F_{233}\! \left(x \right)<br />
  
    F_{233}\! \left(x \right) = F_{31}\! \left(x \right) F_{37}\! \left(x \right) F_{47}\! \left(x \right)<br />
  
    F_{234}\! \left(x \right) = F_{28}\! \left(x \right) F_{47}\! \left(x \right)<br />
  
    F_{235}\! \left(x \right) = F_{236}\! \left(x \right)<br />
  
    F_{236}\! \left(x \right) = F_{237}\! \left(x \right)+F_{238}\! \left(x \right)<br />
  
    F_{237}\! \left(x \right) = F_{173}\! \left(x \right) F_{28}\! \left(x \right)<br />
  
    F_{238}\! \left(x \right) = F_{209}\! \left(x \right) F_{49}\! \left(x \right)<br />
  
    F_{239}\! \left(x \right) = F_{240}\! \left(x \right)<br />
  
    F_{240}\! \left(x \right) = F_{201}\! \left(x \right) F_{28}\! \left(x \right) F_{31}\! \left(x \right)<br />
  
    F_{241}\! \left(x \right) = F_{242}\! \left(x \right)<br />
  
    F_{242}\! \left(x \right) = -F_{244}\! \left(x \right)+F_{243}\! \left(x \right)<br />
  
    F_{243}\! \left(x \right) = F_{175}\! \left(x \right)+F_{177}\! \left(x \right)<br />
  
    F_{244}\! \left(x \right) = F_{245}\! \left(x \right)<br />
  
    F_{245}\! \left(x \right) = F_{228}\! \left(x \right) F_{31}\! \left(x \right)<br />
  
    F_{246}\! \left(x \right) = F_{107}\! \left(x \right) F_{150}\! \left(x \right) F_{31}\! \left(x \right)<br />
  
    F_{247}\! \left(x \right) = F_{248}\! \left(x \right)<br />
  
    F_{248}\! \left(x \right) = F_{107}\! \left(x \right) F_{167}\! \left(x \right) F_{31}\! \left(x \right)<br />
  
    F_{249}\! \left(x \right) = F_{107}\! \left(x \right) F_{169}\! \left(x \right)<br />
  
    F_{250}\! \left(x \right) = F_{251}\! \left(x \right)<br />
  
    F_{251}\! \left(x \right) = F_{252}\! \left(x \right) F_{31}\! \left(x \right)<br />
  
    F_{252}\! \left(x \right) = F_{253}\! \left(x \right)+F_{254}\! \left(x \right)<br />
  
    F_{253}\! \left(x \right) = F_{108}\! \left(x \right) F_{148}\! \left(x \right)<br />
  
    F_{254}\! \left(x \right) = F_{156}\! \left(x \right) F_{189}\! \left(x \right)<br />
  
    F_{255}\! \left(x \right) = F_{256}\! \left(x \right) F_{31}\! \left(x \right)<br />
  
    F_{256}\! \left(x \right) = -F_{88}\! \left(x \right)+F_{257}\! \left(x \right)<br />
  
    F_{257}\! \left(x \right) = \frac{F_{258}\! \left(x \right)}{F_{31}\! \left(x \right)}<br />
  
    F_{258}\! \left(x \right) = -F_{1}\! \left(x \right)-F_{389}\! \left(x \right)-F_{392}\! \left(x \right)+F_{259}\! \left(x \right)<br />
  
    F_{259}\! \left(x \right) = F_{260}\! \left(x \right)+F_{270}\! \left(x \right)<br />
  
    F_{260}\! \left(x \right) = F_{0}\! \left(x \right)+F_{261}\! \left(x \right)<br />
  
    F_{261}\! \left(x \right) = F_{262}\! \left(x \right)+F_{264}\! \left(x \right)+F_{7}\! \left(x \right)<br />
  
    F_{262}\! \left(x \right) = F_{263}\! \left(x \right) F_{31}\! \left(x \right)<br />
  
    F_{263}\! \left(x \right) = F_{49}\! \left(x \right)+F_{54}\! \left(x \right)<br />
  
    F_{264}\! \left(x \right) = F_{265}\! \left(x \right) F_{31}\! \left(x \right)<br />
  
    F_{265}\! \left(x \right) = F_{266}\! \left(x \right)+F_{268}\! \left(x \right)<br />
  
    F_{266}\! \left(x \right) = F_{267}\! \left(x \right)<br />
  
    F_{267}\! \left(x \right) = F_{107}\! \left(x \right) F_{16}\! \left(x \right)<br />
  
    F_{268}\! \left(x \right) = F_{269}\! \left(x \right)<br />
  
    F_{269}\! \left(x \right) = F_{130}\! \left(x \right) F_{31}\! \left(x \right)<br />
  
    F_{270}\! \left(x \right) = F_{271}\! \left(x \right)+F_{285}\! \left(x \right)<br />
  
    F_{271}\! \left(x \right) = F_{123}\! \left(x \right)+F_{272}\! \left(x \right)+F_{7}\! \left(x \right)<br />
  
    F_{272}\! \left(x \right) = F_{273}\! \left(x \right) F_{31}\! \left(x \right)<br />
  
    F_{273}\! \left(x \right) = F_{153}\! \left(x \right)+F_{274}\! \left(x \right)<br />
  
    F_{274}\! \left(x \right) = F_{275}\! \left(x \right)<br />
  
    F_{275}\! \left(x \right) = F_{276}\! \left(x \right) F_{31}\! \left(x \right)<br />
  
    F_{276}\! \left(x \right) = F_{277}\! \left(x \right)+F_{281}\! \left(x \right)<br />
  
    F_{277}\! \left(x \right) = F_{278}\! \left(x \right)+F_{280}\! \left(x \right)<br />
  
    F_{278}\! \left(x \right) = F_{279}\! \left(x \right) F_{54}\! \left(x \right)<br />
  
    F_{279}\! \left(x \right) = F_{134}\! \left(x \right)+F_{16}\! \left(x \right)<br />
  
    F_{280}\! \left(x \right) = F_{28}\! \left(x \right) F_{94}\! \left(x \right)<br />
  
    F_{281}\! \left(x \right) = F_{282}\! \left(x \right)<br />
  
    F_{282}\! \left(x \right) = F_{28}\! \left(x \right) F_{283}\! \left(x \right) F_{31}\! \left(x \right)<br />
  
    F_{283}\! \left(x \right) = \frac{F_{284}\! \left(x \right)}{F_{31}\! \left(x \right)}<br />
  
    F_{284}\! \left(x \right) = F_{152}\! \left(x \right)<br />
  
    F_{285}\! \left(x \right) = F_{286}\! \left(x \right)<br />
  
    F_{286}\! \left(x \right) = F_{287}\! \left(x \right) F_{31}\! \left(x \right)<br />
  
    F_{287}\! \left(x \right) = F_{15}\! \left(x \right)+F_{288}\! \left(x \right)<br />
  
    F_{288}\! \left(x \right) = F_{289}\! \left(x \right)<br />
  
    F_{289}\! \left(x \right) = F_{290}\! \left(x \right) F_{31}\! \left(x \right)<br />
  
    F_{290}\! \left(x \right) = F_{291}\! \left(x \right)+F_{385}\! \left(x \right)<br />
  
    F_{291}\! \left(x \right) = F_{292}\! \left(x \right)+F_{382}\! \left(x \right)<br />
  
    F_{292}\! \left(x \right) = F_{293}\! \left(x \right)+F_{334}\! \left(x \right)<br />
  
    F_{293}\! \left(x \right) = F_{279}\! \left(x \right) F_{294}\! \left(x \right)<br />
  
    F_{294}\! \left(x \right) = F_{295}\! \left(x \right)+F_{4}\! \left(x \right)<br />
  
    F_{295}\! \left(x \right) = F_{271}\! \left(x \right)+F_{296}\! \left(x \right)<br />
  
    F_{296}\! \left(x \right) = F_{297}\! \left(x \right)<br />
  
    F_{297}\! \left(x \right) = F_{298}\! \left(x \right) F_{31}\! \left(x \right)<br />
  
    F_{298}\! \left(x \right) = F_{299}\! \left(x \right)+F_{307}\! \left(x \right)<br />
  
    F_{299}\! \left(x \right) = F_{300}\! \left(x \right)+F_{301}\! \left(x \right)<br />
  
    F_{300}\! \left(x \right) = F_{158}\! \left(x \right) F_{2}\! \left(x \right)<br />
  
    F_{301}\! \left(x \right) = F_{302}\! \left(x \right)<br />
  
    F_{302}\! \left(x \right) = F_{303}\! \left(x \right) F_{31}\! \left(x \right)<br />
  
    F_{303}\! \left(x \right) = F_{304}\! \left(x \right)+F_{47}\! \left(x \right)<br />
  
    F_{304}\! \left(x \right) = F_{305}\! \left(x \right)<br />
  
    F_{305}\! \left(x \right) = F_{2}\! \left(x \right) F_{306}\! \left(x \right)<br />
  
    F_{306}\! \left(x \right) = F_{213}\! \left(x \right)+F_{22}\! \left(x \right)<br />
  
    F_{307}\! \left(x \right) = F_{308}\! \left(x \right)+F_{329}\! \left(x \right)<br />
  
    F_{308}\! \left(x \right) = F_{309}\! \left(x \right)+F_{310}\! \left(x \right)<br />
  
    F_{309}\! \left(x \right) = F_{151}\! \left(x \right)<br />
  
    F_{310}\! \left(x \right) = F_{311}\! \left(x \right)<br />
  
    F_{311}\! \left(x \right) = F_{31}\! \left(x \right) F_{312}\! \left(x \right)<br />
  
    F_{312}\! \left(x \right) = F_{313}\! \left(x \right)+F_{323}\! \left(x \right)<br />
  
    F_{313}\! \left(x \right) = F_{314}\! \left(x \right) F_{317}\! \left(x \right)<br />
  
    F_{314}\! \left(x \right) = F_{16}\! \left(x \right)+F_{315}\! \left(x \right)<br />
  
    F_{315}\! \left(x \right) = F_{316}\! \left(x \right)<br />
  
    F_{316}\! \left(x \right) = F_{148}\! \left(x \right) F_{31}\! \left(x \right)<br />
  
    F_{317}\! \left(x \right) = \frac{F_{318}\! \left(x \right)}{F_{31}\! \left(x \right)}<br />
  
    F_{318}\! \left(x \right) = -F_{319}\! \left(x \right)-F_{322}\! \left(x \right)-F_{7}\! \left(x \right)+F_{108}\! \left(x \right)<br />
  
    F_{319}\! \left(x \right) = F_{31}\! \left(x \right) F_{320}\! \left(x \right)<br />
  
    F_{320}\! \left(x \right) = F_{108}\! \left(x \right)+F_{321}\! \left(x \right)<br />
  
    F_{321}\! \left(x \right) = F_{110}\! \left(x \right)<br />
  
    F_{322}\! \left(x \right) = F_{156}\! \left(x \right) F_{31}\! \left(x \right)<br />
  
    F_{323}\! \left(x \right) = F_{324}\! \left(x \right)<br />
  
    F_{324}\! \left(x \right) = F_{161}\! \left(x \right) F_{31}\! \left(x \right) F_{325}\! \left(x \right)<br />
  
    F_{325}\! \left(x \right) = F_{153}\! \left(x \right)+F_{326}\! \left(x \right)+F_{328}\! \left(x \right)<br />
  
    F_{326}\! \left(x \right) = F_{327}\! \left(x \right)<br />
  
    F_{327}\! \left(x \right) = F_{167}\! \left(x \right) F_{31}\! \left(x \right)<br />
  
    F_{328}\! \left(x \right) = F_{150}\! \left(x \right) F_{31}\! \left(x \right)<br />
  
    F_{329}\! \left(x \right) = F_{330}\! \left(x \right)<br />
  
    F_{330}\! \left(x \right) = F_{31}\! \left(x \right) F_{331}\! \left(x \right)<br />
  
    F_{331}\! \left(x \right) = F_{189}\! \left(x \right)+F_{332}\! \left(x \right)<br />
  
    F_{332}\! \left(x \right) = F_{333}\! \left(x \right)<br />
  
    F_{333}\! \left(x \right) = F_{112}\! \left(x \right) F_{2}\! \left(x \right)<br />
  
    F_{334}\! \left(x \right) = F_{16}\! \left(x \right) F_{335}\! \left(x \right)<br />
  
    F_{335}\! \left(x \right) = -F_{294}\! \left(x \right)+F_{336}\! \left(x \right)<br />
  
    F_{336}\! \left(x \right) = F_{259}\! \left(x \right)+F_{337}\! \left(x \right)<br />
  
    F_{337}\! \left(x \right) = F_{338}\! \left(x \right)<br />
  
    F_{338}\! \left(x \right) = F_{31}\! \left(x \right) F_{339}\! \left(x \right)<br />
  
    F_{339}\! \left(x \right) = F_{340}\! \left(x \right)+F_{381}\! \left(x \right)<br />
  
    F_{340}\! \left(x \right) = F_{341}\! \left(x \right)+F_{348}\! \left(x \right)<br />
  
    F_{341}\! \left(x \right) = F_{342}\! \left(x \right)+F_{345}\! \left(x \right)<br />
  
    F_{342}\! \left(x \right) = F_{343}\! \left(x \right)+F_{344}\! \left(x \right)<br />
  
    F_{343}\! \left(x \right) = F_{300}\! \left(x \right)+F_{88}\! \left(x \right)<br />
  
    F_{344}\! \left(x \right) = F_{158}\! \left(x \right) F_{5}\! \left(x \right)<br />
  
    F_{345}\! \left(x \right) = F_{309}\! \left(x \right)+F_{346}\! \left(x \right)+F_{347}\! \left(x \right)<br />
  
    F_{346}\! \left(x \right) = F_{263}\! \left(x \right) F_{31}\! \left(x \right) F_{317}\! \left(x \right)<br />
  
    F_{347}\! \left(x \right) = F_{273}\! \left(x \right) F_{31}\! \left(x \right) F_{317}\! \left(x \right)<br />
  
    F_{348}\! \left(x \right) = F_{349}\! \left(x \right)+F_{378}\! \left(x \right)<br />
  
    F_{349}\! \left(x \right) = F_{350}\! \left(x \right)+F_{376}\! \left(x \right)<br />
  
    F_{350}\! \left(x \right) = F_{351}\! \left(x \right)+F_{361}\! \left(x \right)<br />
  
    F_{351}\! \left(x \right) = F_{352}\! \left(x \right)+F_{354}\! \left(x \right)<br />
  
    F_{352}\! \left(x \right) = F_{315}\! \left(x \right)+F_{353}\! \left(x \right)<br />
  
    F_{353}\! \left(x \right) = F_{302}\! \left(x \right)<br />
  
    F_{354}\! \left(x \right) = F_{355}\! \left(x \right)<br />
  
    F_{355}\! \left(x \right) = F_{356}\! \left(x \right)<br />
  
    F_{356}\! \left(x \right) = F_{31}\! \left(x \right) F_{357}\! \left(x \right)<br />
  
    F_{357}\! \left(x \right) = F_{358}\! \left(x \right)+F_{360}\! \left(x \right)<br />
  
    F_{358}\! \left(x \right) = F_{359}\! \left(x \right)<br />
  
    F_{359}\! \left(x \right) = F_{10}\! \left(x \right) F_{22}\! \left(x \right)<br />
  
    F_{360}\! \left(x \right) = F_{44}\! \left(x \right)<br />
  
    F_{361}\! \left(x \right) = F_{362}\! \left(x \right)<br />
  
    F_{362}\! \left(x \right) = F_{31}\! \left(x \right) F_{363}\! \left(x \right)<br />
  
    F_{363}\! \left(x \right) = F_{331}\! \left(x \right)+F_{364}\! \left(x \right)<br />
  
    F_{364}\! \left(x \right) = F_{365}\! \left(x \right)<br />
  
    F_{365}\! \left(x \right) = F_{112}\! \left(x \right) F_{366}\! \left(x \right)<br />
  
    F_{366}\! \left(x \right) = F_{367}\! \left(x \right)+F_{368}\! \left(x \right)+F_{7}\! \left(x \right)<br />
  
    F_{367}\! \left(x \right) = F_{294}\! \left(x \right) F_{31}\! \left(x \right)<br />
  
    F_{368}\! \left(x \right) = F_{369}\! \left(x \right)<br />
  
    F_{369}\! \left(x \right) = F_{31}\! \left(x \right) F_{370}\! \left(x \right)<br />
  
    F_{370}\! \left(x \right) = F_{371}\! \left(x \right)<br />
  
    F_{371}\! \left(x \right) = F_{31}\! \left(x \right) F_{372}\! \left(x \right)<br />
  
    F_{372}\! \left(x \right) = F_{373}\! \left(x \right)+F_{375}\! \left(x \right)<br />
  
    F_{373}\! \left(x \right) = F_{374}\! \left(x \right)+F_{4}\! \left(x \right)<br />
  
    F_{374}\! \left(x \right) = F_{153}\! \left(x \right) F_{2}\! \left(x \right)<br />
  
    F_{375}\! \left(x \right) = F_{153}\! \left(x \right) F_{5}\! \left(x \right)<br />
  
    F_{376}\! \left(x \right) = F_{377}\! \left(x \right)<br />
  
    F_{377}\! \left(x \right) = F_{189}\! \left(x \right) F_{31}\! \left(x \right)<br />
  
    F_{378}\! \left(x \right) = F_{379}\! \left(x \right)<br />
  
    F_{379}\! \left(x \right) = F_{380}\! \left(x \right)<br />
  
    F_{380}\! \left(x \right) = F_{169}\! \left(x \right) F_{31}\! \left(x \right)<br />
  
    F_{381}\! \left(x \right) = F_{307}\! \left(x \right)<br />
  
    F_{382}\! \left(x \right) = F_{279}\! \left(x \right) F_{383}\! \left(x \right)<br />
  
    F_{383}\! \left(x \right) = F_{384}\! \left(x \right)<br />
  
    F_{384}\! \left(x \right) = F_{31}\! \left(x \right) F_{372}\! \left(x \right)<br />
  
    F_{385}\! \left(x \right) = F_{386}\! \left(x \right)<br />
  
    F_{386}\! \left(x \right) = F_{16}\! \left(x \right) F_{31}\! \left(x \right) F_{387}\! \left(x \right)<br />
  
    F_{387}\! \left(x \right) = F_{373}\! \left(x \right)+F_{388}\! \left(x \right)<br />
  
    F_{388}\! \left(x \right) = F_{153}\! \left(x \right) F_{366}\! \left(x \right)<br />
  
    F_{389}\! \left(x \right) = F_{31}\! \left(x \right) F_{390}\! \left(x \right)<br />
  
    F_{390}\! \left(x \right) = F_{263}\! \left(x \right)+F_{391}\! \left(x \right)<br />
  
    F_{391}\! \left(x \right) = F_{49}\! \left(x \right)<br />
  
    F_{392}\! \left(x \right) = F_{31}\! \left(x \right) F_{393}\! \left(x \right)<br />
  
    F_{393}\! \left(x \right) = F_{273}\! \left(x \right)+F_{394}\! \left(x \right)<br />
  
    F_{394}\! \left(x \right) = F_{125}\! \left(x \right)+F_{94}\! \left(x \right)<br />
  
    F_{395}\! \left(x \right) = F_{396}\! \left(x \right)<br />
  
    F_{396}\! \left(x \right) = F_{355}\! \left(x \right)+F_{397}\! \left(x \right)<br />
  
    F_{397}\! \left(x \right) = F_{10}\! \left(x \right) F_{16}\! \left(x \right)<br />
  
    F_{398}\! \left(x \right) = F_{399}\! \left(x \right)<br />
  
    F_{399}\! \left(x \right) = -F_{407}\! \left(x \right)+F_{400}\! \left(x \right)<br />
  
    F_{400}\! \left(x \right) = F_{401}\! \left(x \right)+F_{403}\! \left(x \right)<br />
  
    F_{401}\! \left(x \right) = \frac{F_{402}\! \left(x \right)}{F_{31}\! \left(x \right)}<br />
  
    F_{402}\! \left(x \right) = F_{261}\! \left(x \right)<br />
  
    F_{403}\! \left(x \right) = F_{404}\! \left(x \right)<br />
  
    F_{404}\! \left(x \right) = F_{31}\! \left(x \right) F_{405}\! \left(x \right)<br />
  
    F_{405}\! \left(x \right) = F_{314}\! \left(x \right)+F_{406}\! \left(x \right)<br />
  
    F_{406}\! \left(x \right) = F_{2}\! \left(x \right) F_{28}\! \left(x \right)<br />
  
    F_{407}\! \left(x \right) = F_{403}\! \left(x \right)+F_{408}\! \left(x \right)<br />
  
    F_{408}\! \left(x \right) = F_{352}\! \left(x \right)+F_{409}\! \left(x \right)<br />
  
    F_{409}\! \left(x \right) = F_{0}\! \left(x \right) F_{16}\! \left(x \right)<br />
  
    F_{410}\! \left(x \right) = F_{411}\! \left(x \right)<br />
  
    F_{411}\! \left(x \right) = F_{111}\! \left(x \right) F_{153}\! \left(x \right) F_{31}\! \left(x \right)<br />
  
    F_{412}\! \left(x \right) = F_{413}\! \left(x \right)+F_{414}\! \left(x \right)<br />
  
    F_{413}\! \left(x \right) = F_{156}\! \left(x \right) F_{98}\! \left(x \right)<br />
  
    F_{414}\! \left(x \right) = F_{415}\! \left(x \right)<br />
  
    F_{415}\! \left(x \right) = F_{100}\! \left(x \right) F_{22}\! \left(x \right) F_{31}\! \left(x \right)<br />
  
    F_{416}\! \left(x \right) = F_{107}\! \left(x \right) F_{31}\! \left(x \right)<br />
  
    F_{417}\! \left(x \right) = F_{418}\! \left(x \right)+F_{423}\! \left(x \right)<br />
  
    F_{418}\! \left(x \right) = F_{419}\! \left(x \right)<br />
  
    F_{419}\! \left(x \right) = F_{31}\! \left(x \right) F_{420}\! \left(x \right)<br />
  
    F_{420}\! \left(x \right) = F_{421}\! \left(x \right)+F_{422}\! \left(x \right)<br />
  
    F_{421}\! \left(x \right) = F_{1}\! \left(x \right)+F_{31}\! \left(x \right)<br />
  
    F_{422}\! \left(x \right) = F_{31}\! \left(x \right)<br />
  
    F_{423}\! \left(x \right) = F_{424}\! \left(x \right)+F_{473}\! \left(x \right)+F_{7}\! \left(x \right)<br />
  
    F_{424}\! \left(x \right) = F_{31}\! \left(x \right) F_{425}\! \left(x \right)<br />
  
    F_{425}\! \left(x \right) = F_{417}\! \left(x \right)+F_{426}\! \left(x \right)<br />
  
    F_{426}\! \left(x \right) = F_{427}\! \left(x \right)+F_{445}\! \left(x \right)<br />
  
    F_{427}\! \left(x \right) = F_{428}\! \left(x \right)+F_{438}\! \left(x \right)+F_{7}\! \left(x \right)<br />
  
    F_{428}\! \left(x \right) = F_{31}\! \left(x \right) F_{429}\! \left(x \right)<br />
  
    F_{429}\! \left(x \right) = F_{430}\! \left(x \right)+F_{431}\! \left(x \right)<br />
  
    F_{430}\! \left(x \right) = F_{418}\! \left(x \right)+F_{427}\! \left(x \right)<br />
  
    F_{431}\! \left(x \right) = F_{432}\! \left(x \right)+F_{435}\! \left(x \right)<br />
  
    F_{432}\! \left(x \right) = F_{433}\! \left(x \right)<br />
  
    F_{433}\! \left(x \right) = F_{31}\! \left(x \right) F_{434}\! \left(x \right)<br />
  
    F_{434}\! \left(x \right) = F_{418}\! \left(x \right)+F_{432}\! \left(x \right)<br />
  
    F_{435}\! \left(x \right) = F_{436}\! \left(x \right)<br />
  
    F_{436}\! \left(x \right) = F_{31}\! \left(x \right) F_{437}\! \left(x \right)<br />
  
    F_{437}\! \left(x \right) = F_{427}\! \left(x \right)+F_{435}\! \left(x \right)<br />
  
    F_{438}\! \left(x \right) = F_{31}\! \left(x \right) F_{439}\! \left(x \right)<br />
  
    F_{439}\! \left(x \right) = F_{440}\! \left(x \right)+F_{444}\! \left(x \right)<br />
  
    F_{440}\! \left(x \right) = F_{441}\! \left(x \right)+F_{65}\! \left(x \right)<br />
  
    F_{441}\! \left(x \right) = F_{442}\! \left(x \right)<br />
  
    F_{442}\! \left(x \right) = F_{31}\! \left(x \right) F_{443}\! \left(x \right)<br />
  
    F_{443}\! \left(x \right) = F_{31}\! \left(x \right)+F_{441}\! \left(x \right)<br />
  
    F_{444}\! \left(x \right) = F_{441}\! \left(x \right)<br />
  
    F_{445}\! \left(x \right) = F_{446}\! \left(x \right)+F_{456}\! \left(x \right)+F_{460}\! \left(x \right)+F_{7}\! \left(x \right)<br />
  
    F_{446}\! \left(x \right) = F_{31}\! \left(x \right) F_{447}\! \left(x \right)<br />
  
    F_{447}\! \left(x \right) = F_{448}\! \left(x \right)+F_{449}\! \left(x \right)<br />
  
    F_{448}\! \left(x \right) = F_{423}\! \left(x \right)+F_{445}\! \left(x \right)<br />
  
    F_{449}\! \left(x \right) = F_{450}\! \left(x \right)+F_{453}\! \left(x \right)<br />
  
    F_{450}\! \left(x \right) = F_{451}\! \left(x \right)<br />
  
    F_{451}\! \left(x \right) = F_{31}\! \left(x \right) F_{452}\! \left(x \right)<br />
  
    F_{452}\! \left(x \right) = F_{423}\! \left(x \right)+F_{450}\! \left(x \right)<br />
  
    F_{453}\! \left(x \right) = F_{454}\! \left(x \right)<br />
  
    F_{454}\! \left(x \right) = F_{31}\! \left(x \right) F_{455}\! \left(x \right)<br />
  
    F_{455}\! \left(x \right) = F_{445}\! \left(x \right)+F_{453}\! \left(x \right)<br />
  
    F_{456}\! \left(x \right) = F_{31}\! \left(x \right) F_{457}\! \left(x \right)<br />
  
    F_{457}\! \left(x \right) = F_{458}\! \left(x \right)+F_{459}\! \left(x \right)<br />
  
    F_{458}\! \left(x \right) = F_{432}\! \left(x \right)+F_{450}\! \left(x \right)<br />
  
    F_{459}\! \left(x \right) = F_{435}\! \left(x \right)+F_{453}\! \left(x \right)<br />
  
    F_{460}\! \left(x \right) = F_{31}\! \left(x \right) F_{461}\! \left(x \right)<br />
  
    F_{461}\! \left(x \right) = F_{462}\! \left(x \right)+F_{472}\! \left(x \right)<br />
  
    F_{462}\! \left(x \right) = F_{463}\! \left(x \right)+F_{68}\! \left(x \right)<br />
  
    F_{463}\! \left(x \right) = F_{464}\! \left(x \right)<br />
  
    F_{464}\! \left(x \right) = F_{31}\! \left(x \right) F_{465}\! \left(x \right)<br />
  
    F_{465}\! \left(x \right) = F_{463}\! \left(x \right)+F_{466}\! \left(x \right)<br />
  
    F_{466}\! \left(x \right) = F_{467}\! \left(x \right)+F_{471}\! \left(x \right)+F_{7}\! \left(x \right)<br />
  
    F_{467}\! \left(x \right) = F_{31}\! \left(x \right) F_{468}\! \left(x \right)<br />
  
    F_{468}\! \left(x \right) = F_{469}\! \left(x \right)+F_{470}\! \left(x \right)<br />
  
    F_{469}\! \left(x \right) = F_{31}\! \left(x \right)+F_{466}\! \left(x \right)<br />
  
    F_{470}\! \left(x \right) = F_{441}\! \left(x \right)+F_{463}\! \left(x \right)<br />
  
    F_{471}\! \left(x \right) = F_{31}\! \left(x \right) F_{65}\! \left(x \right)<br />
  
    F_{472}\! \left(x \right) = F_{463}\! \left(x \right)<br />
  
    F_{473}\! \left(x \right) = F_{31}\! \left(x \right) F_{474}\! \left(x \right)<br />
  
    F_{474}\! \left(x \right) = F_{475}\! \left(x \right)+F_{476}\! \left(x \right)<br />
  
    F_{475}\! \left(x \right) = F_{466}\! \left(x \right)+F_{60}\! \left(x \right)<br />
  
    F_{476}\! \left(x \right) = F_{466}\! \left(x \right)<br />
  
    F_{477}\! \left(x \right) = F_{478}\! \left(x \right)<br />
  
    F_{478}\! \left(x \right) = F_{283}\! \left(x \right) F_{31}\! \left(x \right)<br />
  
    F_{479}\! \left(x \right) = F_{480}\! \left(x \right)<br />
  
    F_{480}\! \left(x \right) = F_{31}\! \left(x \right) F_{481}\! \left(x \right)<br />
  
    F_{481}\! \left(x \right) = F_{482}\! \left(x \right)+F_{484}\! \left(x \right)<br />
  
    F_{482}\! \left(x \right) = F_{483}\! \left(x \right)<br />
  
    F_{483}\! \left(x \right) = F_{206}\! \left(x \right) F_{31}\! \left(x \right)<br />
  
    F_{484}\! \left(x \right) = F_{485}\! \left(x \right)<br />
  
    F_{485}\! \left(x \right) = F_{28}\! \left(x \right) F_{31}\! \left(x \right) F_{481}\! \left(x \right)<br />
  
    F_{486}\! \left(x \right) = F_{487}\! \left(x \right)<br />
  
    F_{487}\! \left(x \right) = F_{231}\! \left(x \right) F_{31}\! \left(x \right)<br />
  
    F_{488}\! \left(x \right) = F_{489}\! \left(x \right)<br />
  
    F_{489}\! \left(x \right) = F_{2}\! \left(x \right) F_{213}\! \left(x \right)<br />
  
    F_{490}\! \left(x \right) = F_{491}\! \left(x \right)<br />
  
    F_{491}\! \left(x \right) = F_{213}\! \left(x \right) F_{271}\! \left(x \right)<br />
  
    F_{492}\! \left(x \right) = F_{493}\! \left(x \right)<br />
  
    F_{493}\! \left(x \right) = F_{213}\! \left(x \right) F_{494}\! \left(x \right)<br />
  
    F_{494}\! \left(x \right) = F_{495}\! \left(x \right)<br />
  
    F_{495}\! \left(x \right) = F_{31}\! \left(x \right) F_{496}\! \left(x \right)<br />
  
    F_{496}\! \left(x \right) = F_{497}\! \left(x \right)+F_{508}\! \left(x \right)<br />
  
    F_{497}\! \left(x \right) = F_{498}\! \left(x \right)+F_{507}\! \left(x \right)<br />
  
    F_{498}\! \left(x \right) = F_{499}\! \left(x \right)+F_{500}\! \left(x \right)<br />
  
    F_{499}\! \left(x \right) = F_{16}\! \left(x \right) F_{4}\! \left(x \right)<br />
  
    F_{500}\! \left(x \right) = F_{501}\! \left(x \right)<br />
  
    F_{501}\! \left(x \right) = F_{31}\! \left(x \right) F_{502}\! \left(x \right)<br />
  
    F_{502}\! \left(x \right) = F_{358}\! \left(x \right)+F_{503}\! \left(x \right)<br />
  
    F_{503}\! \left(x \right) = F_{148}\! \left(x \right)+F_{504}\! \left(x \right)<br />
  
    F_{504}\! \left(x \right) = F_{2}\! \left(x \right) F_{505}\! \left(x \right)<br />
  
    F_{505}\! \left(x \right) = \frac{F_{506}\! \left(x \right)}{F_{31}\! \left(x \right)}<br />
  
    F_{506}\! \left(x \right) = F_{108}\! \left(x \right)<br />
  
    F_{507}\! \left(x \right) = F_{28}\! \left(x \right) F_{295}\! \left(x \right)<br />
  
    F_{508}\! \left(x \right) = F_{509}\! \left(x \right)<br />
  
    F_{509}\! \left(x \right) = F_{31}\! \left(x \right) F_{510}\! \left(x \right)<br />
  
    F_{510}\! \left(x \right) = F_{511}\! \left(x \right)+F_{512}\! \left(x \right)<br />
  
    F_{511}\! \left(x \right) = F_{279}\! \left(x \right) F_{373}\! \left(x \right)<br />
  
    F_{512}\! \left(x \right) = F_{10}\! \left(x \right) F_{153}\! \left(x \right) F_{28}\! \left(x \right)<br />
  
    F_{513}\! \left(x \right) = F_{514}\! \left(x \right)<br />
  
    F_{514}\! \left(x \right) = F_{31}\! \left(x \right) F_{515}\! \left(x \right)<br />
  
    F_{515}\! \left(x \right) = F_{516}\! \left(x \right)+F_{692}\! \left(x \right)<br />
  
    F_{516}\! \left(x \right) = F_{517}\! \left(x \right)+F_{598}\! \left(x \right)<br />
  
    F_{517}\! \left(x \right) = F_{518}\! \left(x \right)+F_{597}\! \left(x \right)<br />
  
    F_{518}\! \left(x \right) = F_{293}\! \left(x \right)+F_{519}\! \left(x \right)<br />
  
    F_{519}\! \left(x \right) = F_{520}\! \left(x \right)<br />
  
    F_{520}\! \left(x \right) = F_{31}\! \left(x \right) F_{521}\! \left(x \right)<br />
  
    F_{521}\! \left(x \right) = \frac{F_{522}\! \left(x \right)}{F_{31}\! \left(x \right)}<br />
  
    F_{522}\! \left(x \right) = F_{523}\! \left(x \right)<br />
  
    F_{523}\! \left(x \right) = F_{524}\! \left(x \right)+F_{595}\! \left(x \right)<br />
  
    F_{524}\! \left(x \right) = F_{331}\! \left(x \right)+F_{525}\! \left(x \right)<br />
  
    F_{525}\! \left(x \right) = F_{526}\! \left(x \right)+F_{593}\! \left(x \right)<br />
  
    F_{526}\! \left(x \right) = F_{2}\! \left(x \right) F_{527}\! \left(x \right)<br />
  
    F_{527}\! \left(x \right) = F_{528}\! \left(x \right)<br />
  
    F_{528}\! \left(x \right) = -F_{587}\! \left(x \right)+F_{529}\! \left(x \right)<br />
  
    F_{529}\! \left(x \right) = \frac{F_{530}\! \left(x \right)}{F_{31}\! \left(x \right)}<br />
  
    F_{530}\! \left(x \right) = F_{531}\! \left(x \right)<br />
  
    F_{531}\! \left(x \right) = F_{532}\! \left(x \right)+F_{551}\! \left(x \right)<br />
  
    F_{532}\! \left(x \right) = \frac{F_{533}\! \left(x \right)}{F_{0}\! \left(x \right)}<br />
  
    F_{533}\! \left(x \right) = -F_{574}\! \left(x \right)+F_{534}\! \left(x \right)<br />
  
    F_{534}\! \left(x \right) = -F_{549}\! \left(x \right)+F_{535}\! \left(x \right)<br />
  
    F_{535}\! \left(x \right) = \frac{F_{536}\! \left(x \right)}{F_{31}\! \left(x \right)}<br />
  
    F_{536}\! \left(x \right) = F_{537}\! \left(x \right)<br />
  
    F_{537}\! \left(x \right) = F_{31}\! \left(x \right) F_{538}\! \left(x \right)<br />
  
    F_{538}\! \left(x \right) = F_{539}\! \left(x \right)+F_{541}\! \left(x \right)<br />
  
    F_{539}\! \left(x \right) = F_{540}\! \left(x \right)<br />
  
    F_{540}\! \left(x \right) = F_{22}\! \left(x \right) F_{31}\! \left(x \right) F_{88}\! \left(x \right)<br />
  
    F_{541}\! \left(x \right) = -F_{545}\! \left(x \right)+F_{542}\! \left(x \right)<br />
  
    F_{542}\! \left(x \right) = \frac{F_{543}\! \left(x \right)}{F_{31}\! \left(x \right)}<br />
  
    F_{543}\! \left(x \right) = F_{544}\! \left(x \right)<br />
  
    F_{544}\! \left(x \right) = -F_{50}\! \left(x \right)+F_{152}\! \left(x \right)<br />
  
    F_{545}\! \left(x \right) = F_{546}\! \left(x \right)+F_{547}\! \left(x \right)<br />
  
    F_{546}\! \left(x \right) = F_{156}\! \left(x \right) F_{50}\! \left(x \right)<br />
  
    F_{547}\! \left(x \right) = F_{548}\! \left(x \right)<br />
  
    F_{548}\! \left(x \right) = F_{22}\! \left(x \right) F_{309}\! \left(x \right) F_{31}\! \left(x \right)<br />
  
    F_{549}\! \left(x \right) = F_{550}\! \left(x \right)+F_{552}\! \left(x \right)+F_{566}\! \left(x \right)<br />
  
    F_{550}\! \left(x \right) = F_{34}\! \left(x \right)+F_{551}\! \left(x \right)<br />
  
    F_{551}\! \left(x \right) = F_{110}\! \left(x \right)<br />
  
    F_{552}\! \left(x \right) = F_{31}\! \left(x \right) F_{553}\! \left(x \right)<br />
  
    F_{553}\! \left(x \right) = F_{554}\! \left(x \right)+F_{560}\! \left(x \right)<br />
  
    F_{554}\! \left(x \right) = F_{555}\! \left(x \right)<br />
  
    F_{555}\! \left(x \right) = F_{31}\! \left(x \right) F_{556}\! \left(x \right)<br />
  
    F_{556}\! \left(x \right) = F_{557}\! \left(x \right)+F_{559}\! \left(x \right)<br />
  
    F_{557}\! \left(x \right) = F_{390}\! \left(x \right) F_{558}\! \left(x \right)<br />
  
    F_{558}\! \left(x \right) = F_{112}\! \left(x \right)+F_{22}\! \left(x \right)<br />
  
    F_{559}\! \left(x \right) = F_{213}\! \left(x \right) F_{54}\! \left(x \right)<br />
  
    F_{560}\! \left(x \right) = F_{561}\! \left(x \right)<br />
  
    F_{561}\! \left(x \right) = F_{31}\! \left(x \right) F_{562}\! \left(x \right)<br />
  
    F_{562}\! \left(x \right) = F_{563}\! \left(x \right)+F_{564}\! \left(x \right)<br />
  
    F_{563}\! \left(x \right) = F_{393}\! \left(x \right) F_{558}\! \left(x \right)<br />
  
    F_{564}\! \left(x \right) = F_{565}\! \left(x \right)<br />
  
    F_{565}\! \left(x \right) = F_{16}\! \left(x \right) F_{213}\! \left(x \right) F_{53}\! \left(x \right)<br />
  
    F_{566}\! \left(x \right) = F_{567}\! \left(x \right)<br />
  
    F_{567}\! \left(x \right) = F_{31}\! \left(x \right) F_{568}\! \left(x \right)<br />
  
    F_{568}\! \left(x \right) = F_{569}\! \left(x \right)<br />
  
    F_{569}\! \left(x \right) = F_{31}\! \left(x \right) F_{570}\! \left(x \right)<br />
  
    F_{570}\! \left(x \right) = F_{571}\! \left(x \right)+F_{572}\! \left(x \right)<br />
  
    F_{571}\! \left(x \right) = F_{257}\! \left(x \right) F_{558}\! \left(x \right)<br />
  
    F_{572}\! \left(x \right) = F_{573}\! \left(x \right)<br />
  
    F_{573}\! \left(x \right) = F_{16}\! \left(x \right) F_{213}\! \left(x \right) F_{88}\! \left(x \right)<br />
  
    F_{574}\! \left(x \right) = F_{575}\! \left(x \right)<br />
  
    F_{575}\! \left(x \right) = F_{31}\! \left(x \right) F_{576}\! \left(x \right)<br />
  
    F_{576}\! \left(x \right) = F_{577}\! \left(x \right)+F_{582}\! \left(x \right)<br />
  
    F_{577}\! \left(x \right) = F_{578}\! \left(x \right)+F_{580}\! \left(x \right)<br />
  
    F_{578}\! \left(x \right) = F_{10}\! \left(x \right) F_{579}\! \left(x \right)<br />
  
    F_{579}\! \left(x \right) = F_{505}\! \left(x \right)+F_{527}\! \left(x \right)<br />
  
    F_{580}\! \left(x \right) = F_{581}\! \left(x \right)<br />
  
    F_{581}\! \left(x \right) = F_{558}\! \left(x \right) F_{9}\! \left(x \right)<br />
  
    F_{582}\! \left(x \right) = F_{583}\! \left(x \right)+F_{585}\! \left(x \right)<br />
  
    F_{583}\! \left(x \right) = F_{10}\! \left(x \right) F_{584}\! \left(x \right)<br />
  
    F_{584}\! \left(x \right) = F_{212}\! \left(x \right)<br />
  
    F_{585}\! \left(x \right) = F_{586}\! \left(x \right)<br />
  
    F_{586}\! \left(x \right) = F_{213}\! \left(x \right) F_{295}\! \left(x \right)<br />
  
    F_{587}\! \left(x \right) = F_{588}\! \left(x \right)+F_{590}\! \left(x \right)<br />
  
    F_{588}\! \left(x \right) = \frac{F_{589}\! \left(x \right)}{F_{31}\! \left(x \right)}<br />
  
    F_{589}\! \left(x \right) = F_{320}\! \left(x \right)<br />
  
    F_{590}\! \left(x \right) = F_{591}\! \left(x \right)<br />
  
    F_{591}\! \left(x \right) = F_{592}\! \left(x \right)<br />
  
    F_{592}\! \left(x \right) = F_{211}\! \left(x \right) F_{31}\! \left(x \right)<br />
  
    F_{593}\! \left(x \right) = F_{594}\! \left(x \right)<br />
  
    F_{594}\! \left(x \right) = F_{112}\! \left(x \right) F_{6}\! \left(x \right)<br />
  
    F_{595}\! \left(x \right) = F_{596}\! \left(x \right)<br />
  
    F_{596}\! \left(x \right) = F_{112}\! \left(x \right) F_{295}\! \left(x \right)<br />
  
    F_{597}\! \left(x \right) = F_{28}\! \left(x \right) F_{335}\! \left(x \right)<br />
  
    F_{598}\! \left(x \right) = F_{599}\! \left(x \right)<br />
  
    F_{599}\! \left(x \right) = -F_{688}\! \left(x \right)+F_{600}\! \left(x \right)<br />
  
    F_{600}\! \left(x \right) = \frac{F_{601}\! \left(x \right)}{F_{31}\! \left(x \right)}<br />
  
    F_{601}\! \left(x \right) = F_{602}\! \left(x \right)<br />
  
    F_{602}\! \left(x \right) = F_{603}\! \left(x \right)+F_{613}\! \left(x \right)<br />
  
    F_{603}\! \left(x \right) = F_{366}\! \left(x \right)+F_{604}\! \left(x \right)+F_{611}\! \left(x \right)<br />
  
    F_{604}\! \left(x \right) = F_{31}\! \left(x \right) F_{605}\! \left(x \right)<br />
  
    F_{605}\! \left(x \right) = F_{606}\! \left(x \right)+F_{607}\! \left(x \right)<br />
  
    F_{606}\! \left(x \right) = F_{156}\! \left(x \right) F_{366}\! \left(x \right)<br />
  
    F_{607}\! \left(x \right) = F_{608}\! \left(x \right)<br />
  
    F_{608}\! \left(x \right) = F_{22}\! \left(x \right) F_{31}\! \left(x \right) F_{609}\! \left(x \right)<br />
  
    F_{609}\! \left(x \right) = F_{610}\! \left(x \right)<br />
  
    F_{610}\! \left(x \right) = F_{31}\! \left(x \right) F_{387}\! \left(x \right)<br />
  
    F_{611}\! \left(x \right) = F_{612}\! \left(x \right)<br />
  
    F_{612}\! \left(x \right) = F_{16}\! \left(x \right) F_{31}\! \left(x \right) F_{609}\! \left(x \right)<br />
  
    F_{613}\! \left(x \right) = -F_{687}\! \left(x \right)+F_{614}\! \left(x \right)<br />
  
    F_{614}\! \left(x \right) = F_{615}\! \left(x \right)+F_{685}\! \left(x \right)<br />
  
    F_{615}\! \left(x \right) = F_{616}\! \left(x \right)+F_{621}\! \left(x \right)<br />
  
    F_{616}\! \left(x \right) = F_{617}\! \left(x \right)<br />
  
    F_{617}\! \left(x \right) = F_{379}\! \left(x \right)+F_{618}\! \left(x \right)<br />
  
    F_{618}\! \left(x \right) = F_{2}\! \left(x \right) F_{619}\! \left(x \right)<br />
  
    F_{619}\! \left(x \right) = F_{620}\! \left(x \right)<br />
  
    F_{620}\! \left(x \right) = F_{31}\! \left(x \right) F_{591}\! \left(x \right)<br />
  
    F_{621}\! \left(x \right) = -F_{679}\! \left(x \right)+F_{622}\! \left(x \right)<br />
  
    F_{622}\! \left(x \right) = F_{623}\! \left(x \right)+F_{648}\! \left(x \right)<br />
  
    F_{623}\! \left(x \right) = F_{624}\! \left(x \right)<br />
  
    F_{624}\! \left(x \right) = F_{31}\! \left(x \right) F_{625}\! \left(x \right)<br />
  
    F_{625}\! \left(x \right) = F_{626}\! \left(x \right)+F_{646}\! \left(x \right)<br />
  
    F_{626}\! \left(x \right) = F_{627}\! \left(x \right)+F_{629}\! \left(x \right)<br />
  
    F_{627}\! \left(x \right) = F_{503}\! \left(x \right)+F_{628}\! \left(x \right)<br />
  
    F_{628}\! \left(x \right) = F_{366}\! \left(x \right) F_{505}\! \left(x \right)<br />
  
    F_{629}\! \left(x \right) = F_{630}\! \left(x \right)<br />
  
    F_{630}\! \left(x \right) = F_{31}\! \left(x \right) F_{631}\! \left(x \right)<br />
  
    F_{631}\! \left(x \right) = \frac{F_{632}\! \left(x \right)}{F_{31}\! \left(x \right)}<br />
  
    F_{632}\! \left(x \right) = F_{633}\! \left(x \right)<br />
  
    F_{633}\! \left(x \right) = F_{634}\! \left(x \right)+F_{645}\! \left(x \right)<br />
  
    F_{634}\! \left(x \right) = \frac{F_{635}\! \left(x \right)}{F_{31}\! \left(x \right)}<br />
  
    F_{635}\! \left(x \right) = F_{636}\! \left(x \right)<br />
  
    F_{636}\! \left(x \right) = F_{637}\! \left(x \right)+F_{638}\! \left(x \right)+F_{642}\! \left(x \right)+F_{7}\! \left(x \right)<br />
  
    F_{637}\! \left(x \right) = F_{377}\! \left(x \right)<br />
  
    F_{638}\! \left(x \right) = F_{639}\! \left(x \right)<br />
  
    F_{639}\! \left(x \right) = F_{31}\! \left(x \right) F_{54}\! \left(x \right) F_{640}\! \left(x \right)<br />
  
    F_{640}\! \left(x \right) = F_{641}\! \left(x \right)<br />
  
    F_{641}\! \left(x \right) = F_{31}\! \left(x \right) F_{527}\! \left(x \right)<br />
  
    F_{642}\! \left(x \right) = F_{31}\! \left(x \right) F_{643}\! \left(x \right)<br />
  
    F_{643}\! \left(x \right) = F_{644}\! \left(x \right)<br />
  
    F_{644}\! \left(x \right) = F_{112}\! \left(x \right) F_{16}\! \left(x \right) F_{31}\! \left(x \right) F_{54}\! \left(x \right)<br />
  
    F_{645}\! \left(x \right) = F_{16}\! \left(x \right) F_{525}\! \left(x \right)<br />
  
    F_{646}\! \left(x \right) = F_{647}\! \left(x \right)<br />
  
    F_{647}\! \left(x \right) = F_{31}\! \left(x \right) F_{521}\! \left(x \right)<br />
  
    F_{648}\! \left(x \right) = F_{649}\! \left(x \right)+F_{657}\! \left(x \right)<br />
  
    F_{649}\! \left(x \right) = F_{379}\! \left(x \right)+F_{650}\! \left(x \right)<br />
  
    F_{650}\! \left(x \right) = F_{651}\! \left(x \right)<br />
  
    F_{651}\! \left(x \right) = F_{31}\! \left(x \right) F_{652}\! \left(x \right)<br />
  
    F_{652}\! \left(x \right) = F_{653}\! \left(x \right)+F_{655}\! \left(x \right)<br />
  
    F_{653}\! \left(x \right) = F_{654}\! \left(x \right)<br />
  
    F_{654}\! \left(x \right) = F_{209}\! \left(x \right) F_{263}\! \left(x \right) F_{31}\! \left(x \right)<br />
  
    F_{655}\! \left(x \right) = F_{656}\! \left(x \right)<br />
  
    F_{656}\! \left(x \right) = F_{209}\! \left(x \right) F_{273}\! \left(x \right) F_{31}\! \left(x \right)<br />
  
    F_{657}\! \left(x \right) = F_{658}\! \left(x \right)<br />
  
    F_{658}\! \left(x \right) = F_{209}\! \left(x \right) F_{31}\! \left(x \right) F_{659}\! \left(x \right)<br />
  
    F_{659}\! \left(x \right) = F_{271}\! \left(x \right)+F_{660}\! \left(x \right)<br />
  
    F_{660}\! \left(x \right) = F_{661}\! \left(x \right)<br />
  
    F_{661}\! \left(x \right) = F_{31}\! \left(x \right) F_{662}\! \left(x \right)<br />
  
    F_{662}\! \left(x \right) = F_{663}\! \left(x \right)+F_{677}\! \left(x \right)<br />
  
    F_{663}\! \left(x \right) = F_{664}\! \left(x \right)+F_{665}\! \left(x \right)<br />
  
    F_{664}\! \left(x \right) = F_{156}\! \left(x \right) F_{271}\! \left(x \right)<br />
  
    F_{665}\! \left(x \right) = F_{666}\! \left(x \right)+F_{668}\! \left(x \right)<br />
  
    F_{666}\! \left(x \right) = F_{49}\! \left(x \right)+F_{667}\! \left(x \right)<br />
  
    F_{667}\! \left(x \right) = F_{108}\! \left(x \right) F_{2}\! \left(x \right)<br />
  
    F_{668}\! \left(x \right) = F_{669}\! \left(x \right)<br />
  
    F_{669}\! \left(x \right) = F_{16}\! \left(x \right) F_{31}\! \left(x \right) F_{670}\! \left(x \right)<br />
  
    F_{670}\! \left(x \right) = F_{671}\! \left(x \right)+F_{675}\! \left(x \right)<br />
  
    F_{671}\! \left(x \right) = F_{672}\! \left(x \right)<br />
  
    F_{672}\! \left(x \right) = F_{31}\! \left(x \right) F_{673}\! \left(x \right)<br />
  
    F_{673}\! \left(x \right) = F_{20}\! \left(x \right)+F_{674}\! \left(x \right)<br />
  
    F_{674}\! \left(x \right) = F_{4}\! \left(x \right) F_{505}\! \left(x \right)<br />
  
    F_{675}\! \left(x \right) = F_{676}\! \left(x \right)<br />
  
    F_{676}\! \left(x \right) = F_{22}\! \left(x \right) F_{259}\! \left(x \right) F_{31}\! \left(x \right)<br />
  
    F_{677}\! \left(x \right) = F_{678}\! \left(x \right)<br />
  
    F_{678}\! \left(x \right) = F_{22}\! \left(x \right) F_{295}\! \left(x \right) F_{31}\! \left(x \right)<br />
  
    F_{679}\! \left(x \right) = F_{616}\! \left(x \right)+F_{680}\! \left(x \right)<br />
  
    F_{680}\! \left(x \right) = -F_{649}\! \left(x \right)+F_{681}\! \left(x \right)<br />
  
    F_{681}\! \left(x \right) = -F_{682}\! \left(x \right)+F_{325}\! \left(x \right)<br />
  
    F_{682}\! \left(x \right) = F_{409}\! \left(x \right)+F_{683}\! \left(x \right)<br />
  
    F_{683}\! \left(x \right) = F_{684}\! \left(x \right)<br />
  
    F_{684}\! \left(x \right) = F_{28}\! \left(x \right) F_{31}\! \left(x \right) F_{325}\! \left(x \right)<br />
  
    F_{685}\! \left(x \right) = F_{686}\! \left(x \right)<br />
  
    F_{686}\! \left(x \right) = F_{209}\! \left(x \right) F_{31}\! \left(x \right) F_{609}\! \left(x \right)<br />
  
    F_{687}\! \left(x \right) = F_{648}\! \left(x \right)<br />
  
    F_{688}\! \left(x \right) = F_{518}\! \left(x \right)+F_{689}\! \left(x \right)<br />
  
    F_{689}\! \left(x \right) = F_{690}\! \left(x \right)<br />
  
    F_{690}\! \left(x \right) = F_{31}\! \left(x \right) F_{387}\! \left(x \right) F_{691}\! \left(x \right)<br />
  
    F_{691}\! \left(x \right) = F_{209}\! \left(x \right)+F_{28}\! \left(x \right)<br />
  
    F_{692}\! \left(x \right) = F_{689}\! \left(x \right)<br />
  
    F_{693}\! \left(x \right) = F_{31}\! \left(x \right) F_{694}\! \left(x \right)<br />
  
    F_{694}\! \left(x \right) = -F_{4}\! \left(x \right)+F_{259}\! \left(x \right)<br />
  
  System of equations in sympy syntax:<br />
  
    Eq(F_0(x), F_1(x) + F_2(x))<br />
  
    Eq(F_1(x), 1)<br />
  
    Eq(F_2(x), F_3(x))<br />
  
    Eq(F_3(x), F_31(x)*F_4(x))<br />
  
    Eq(F_4(x), F_0(x) + F_5(x))<br />
  
    Eq(F_5(x), F_2(x) + F_6(x))<br />
  
    Eq(F_6(x), F_693(x) + F_7(x) + F_8(x))<br />
  
    Eq(F_7(x), 0)<br />
  
    Eq(F_8(x), F_31(x)*F_9(x))<br />
  
    Eq(F_9(x), F_10(x) + F_11(x))<br />
  
    Eq(F_10(x), F_2(x) + F_6(x))<br />
  
    Eq(F_11(x), F_12(x))<br />
  
    Eq(F_12(x), F_13(x)*F_31(x))<br />
  
    Eq(F_13(x), F_14(x) + F_513(x))<br />
  
    Eq(F_14(x), F_15(x) + F_17(x))<br />
  
    Eq(F_15(x), F_16(x)*F_9(x))<br />
  
    Eq(F_16(x), (x - 2)*F_16(x) + F_16(x)**2 + 2)<br />
  
    Eq(F_17(x), F_18(x))<br />
  
    Eq(F_18(x), F_19(x)*F_31(x))<br />
  
    Eq(F_19(x), F_20(x) + F_42(x))<br />
  
    Eq(F_20(x), F_21(x))<br />
  
    Eq(F_21(x), F_22(x)*F_9(x))<br />
  
    Eq(F_22(x), F_23(x)/F_31(x))<br />
  
    Eq(F_23(x), F_24(x))<br />
  
    Eq(F_24(x), F_25(x))<br />
  
    Eq(F_25(x), F_26(x)*F_31(x))<br />
  
    Eq(F_26(x), F_27(x) + F_33(x))<br />
  
    Eq(F_27(x), F_28(x) + F_32(x))<br />
  
    Eq(F_28(x), F_16(x) + F_29(x))<br />
  
    Eq(F_29(x), F_30(x))<br />
  
    Eq(F_30(x), F_22(x)*F_31(x))<br />
  
    Eq(F_31(x), x)<br />
  
    Eq(F_32(x), F_33(x))<br />
  
    Eq(F_33(x), F_34(x) + F_35(x))<br />
  
    Eq(F_34(x), F_24(x))<br />
  
    Eq(F_35(x), F_36(x))<br />
  
    Eq(F_36(x), F_31(x)*F_34(x)*F_37(x))<br />
  
    Eq(F_37(x), F_38(x)/F_31(x))<br />
  
    Eq(F_38(x), F_39(x))<br />
  
    Eq(F_39(x), F_40(x) + F_41(x) + F_7(x))<br />
  
    Eq(F_40(x), F_31(x)*F_33(x))<br />
  
    Eq(F_41(x), F_28(x)*F_31(x))<br />
  
    Eq(F_42(x), F_43(x))<br />
  
    Eq(F_43(x), F_44(x) + F_492(x))<br />
  
    Eq(F_44(x), F_45(x) + F_490(x))<br />
  
    Eq(F_45(x), F_46(x))<br />
  
    Eq(F_46(x), F_47(x) + F_488(x))<br />
  
    Eq(F_47(x), F_48(x) + F_486(x))<br />
  
    Eq(F_48(x), F_479(x) + F_49(x))<br />
  
    Eq(F_49(x), F_50(x))<br />
  
    Eq(F_50(x), F_51(x))<br />
  
    Eq(F_51(x), F_31(x)*F_52(x))<br />
  
    Eq(F_52(x), F_477(x) + F_53(x))<br />
  
    Eq(F_53(x), F_54(x) + F_94(x))<br />
  
    Eq(F_54(x), F_55(x) + F_86(x))<br />
  
    Eq(F_55(x), F_1(x) + F_56(x))<br />
  
    Eq(F_56(x), F_57(x))<br />
  
    Eq(F_57(x), F_31(x)*F_58(x))<br />
  
    Eq(F_58(x), F_55(x) + F_59(x))<br />
  
    Eq(F_59(x), F_60(x) + F_71(x))<br />
  
    Eq(F_60(x), F_61(x))<br />
  
    Eq(F_61(x), F_31(x)*F_62(x))<br />
  
    Eq(F_62(x), F_63(x) + F_64(x))<br />
  
    Eq(F_63(x), F_1(x) + F_60(x))<br />
  
    Eq(F_64(x), F_65(x) + F_68(x))<br />
  
    Eq(F_65(x), F_66(x))<br />
  
    Eq(F_66(x), F_31(x)*F_67(x))<br />
  
    Eq(F_67(x), F_1(x) + F_65(x))<br />
  
    Eq(F_68(x), F_69(x))<br />
  
    Eq(F_69(x), F_31(x)*F_70(x))<br />
  
    Eq(F_70(x), F_60(x) + F_68(x))<br />
  
    Eq(F_71(x), F_7(x) + F_72(x) + F_82(x))<br />
  
    Eq(F_72(x), F_31(x)*F_73(x))<br />
  
    Eq(F_73(x), F_74(x) + F_75(x))<br />
  
    Eq(F_74(x), F_56(x) + F_71(x))<br />
  
    Eq(F_75(x), F_76(x) + F_79(x))<br />
  
    Eq(F_76(x), F_77(x))<br />
  
    Eq(F_77(x), F_31(x)*F_78(x))<br />
  
    Eq(F_78(x), F_56(x) + F_76(x))<br />
  
    Eq(F_79(x), F_80(x))<br />
  
    Eq(F_80(x), F_31(x)*F_81(x))<br />
  
    Eq(F_81(x), F_71(x) + F_79(x))<br />
  
    Eq(F_82(x), F_31(x)*F_83(x))<br />
  
    Eq(F_83(x), F_84(x) + F_85(x))<br />
  
    Eq(F_84(x), F_65(x) + F_76(x))<br />
  
    Eq(F_85(x), F_68(x) + F_79(x))<br />
  
    Eq(F_86(x), F_7(x) + F_87(x) + F_91(x))<br />
  
    Eq(F_87(x), F_31(x)*F_88(x))<br />
  
    Eq(F_88(x), F_89(x)/F_31(x))<br />
  
    Eq(F_89(x), -F_1(x) + F_4(x) - F_90(x))<br />
  
    Eq(F_90(x), F_31(x)*F_53(x))<br />
  
    Eq(F_91(x), F_31(x)*F_92(x))<br />
  
    Eq(F_92(x), F_86(x) + F_93(x))<br />
  
    Eq(F_93(x), -F_417(x) + F_94(x))<br />
  
    Eq(F_94(x), F_95(x))<br />
  
    Eq(F_95(x), F_50(x) + F_96(x))<br />
  
    Eq(F_96(x), F_49(x) - F_97(x))<br />
  
    Eq(F_97(x), F_31(x) + F_98(x))<br />
  
    Eq(F_98(x), F_416(x) + F_7(x) + F_99(x))<br />
  
    Eq(F_99(x), F_100(x)*F_31(x))<br />
  
    Eq(F_100(x), F_101(x) + F_97(x))<br />
  
    Eq(F_101(x), F_102(x) + F_98(x))<br />
  
    Eq(F_102(x), F_103(x))<br />
  
    Eq(F_103(x), F_104(x)*F_31(x))<br />
  
    Eq(F_104(x), F_105(x) + F_412(x))<br />
  
    Eq(F_105(x), F_106(x) + F_410(x))<br />
  
    Eq(F_106(x), F_107(x)*F_108(x))<br />
  
    Eq(F_107(x), (x - 3)*(F_107(x) + 1) + (F_107(x) + 1)**2 + F_107(x) + 2)<br />
  
    Eq(F_108(x), F_109(x) + F_97(x))<br />
  
    Eq(F_109(x), F_110(x))<br />
  
    Eq(F_110(x), F_111(x)*F_31(x))<br />
  
    Eq(F_111(x), F_112(x) + F_213(x))<br />
  
    Eq(F_112(x), F_113(x)/F_31(x))<br />
  
    Eq(F_113(x), F_114(x))<br />
  
    Eq(F_114(x), F_115(x) - F_97(x))<br />
  
    Eq(F_115(x), F_116(x)/F_366(x))<br />
  
    Eq(F_116(x), F_117(x) - F_398(x))<br />
  
    Eq(F_117(x), F_118(x))<br />
  
    Eq(F_118(x), F_119(x) - F_395(x))<br />
  
    Eq(F_119(x), F_120(x)/F_31(x))<br />
  
    Eq(F_120(x), F_121(x))<br />
  
    Eq(F_121(x), F_122(x) + F_124(x) + F_255(x) + F_7(x))<br />
  
    Eq(F_122(x), F_123(x))<br />
  
    Eq(F_123(x), F_31(x)*F_49(x))<br />
  
    Eq(F_124(x), F_125(x)*F_31(x))<br />
  
    Eq(F_125(x), F_126(x))<br />
  
    Eq(F_126(x), F_127(x)*F_31(x))<br />
  
    Eq(F_127(x), F_128(x) + F_250(x))<br />
  
    Eq(F_128(x), F_129(x))<br />
  
    Eq(F_129(x), F_130(x) + F_249(x))<br />
  
    Eq(F_130(x), F_131(x) + F_132(x))<br />
  
    Eq(F_131(x), F_107(x)*F_54(x))<br />
  
    Eq(F_132(x), F_133(x) + F_246(x) + F_247(x))<br />
  
    Eq(F_133(x), F_134(x)*F_54(x))<br />
  
    Eq(F_134(x), F_135(x) - F_241(x))<br />
  
    Eq(F_135(x), F_136(x) - F_196(x))<br />
  
    Eq(F_136(x), F_137(x) + F_147(x))<br />
  
    Eq(F_137(x), F_138(x) + F_139(x))<br />
  
    Eq(F_138(x), F_59(x))<br />
  
    Eq(F_139(x), F_140(x))<br />
  
    Eq(F_140(x), F_141(x)*F_31(x))<br />
  
    Eq(F_141(x), F_142(x) + F_186(x))<br />
  
    Eq(F_142(x), F_143(x) + F_144(x))<br />
  
    Eq(F_143(x), F_139(x) + F_86(x))<br />
  
    Eq(F_144(x), F_145(x))<br />
  
    Eq(F_145(x), F_146(x)*F_31(x)*F_67(x))<br />
  
    Eq(F_146(x), F_143(x) + F_147(x))<br />
  
    Eq(F_147(x), F_148(x) - F_195(x))<br />
  
    Eq(F_148(x), F_149(x) + F_165(x) + F_54(x))<br />
  
    Eq(F_149(x), F_150(x)*F_31(x))<br />
  
    Eq(F_150(x), F_151(x)/F_31(x))<br />
  
    Eq(F_151(x), F_152(x))<br />
  
    Eq(F_152(x), -F_153(x) + F_88(x))<br />
  
    Eq(F_153(x), F_1(x) + F_154(x) + F_157(x))<br />
  
    Eq(F_154(x), F_155(x)*F_31(x))<br />
  
    Eq(F_155(x), F_156(x) + F_34(x))<br />
  
    Eq(F_156(x), F_16(x) + F_24(x))<br />
  
    Eq(F_157(x), F_158(x)*F_31(x))<br />
  
    Eq(F_158(x), F_153(x) + F_159(x))<br />
  
    Eq(F_159(x), F_160(x))<br />
  
    Eq(F_160(x), F_161(x)*F_31(x))<br />
  
    Eq(F_161(x), F_162(x)/F_31(x))<br />
  
    Eq(F_162(x), F_163(x))<br />
  
    Eq(F_163(x), -F_156(x) - F_164(x) + F_22(x))<br />
  
    Eq(F_164(x), F_22(x)*F_31(x))<br />
  
    Eq(F_165(x), F_166(x))<br />
  
    Eq(F_166(x), F_167(x)*F_31(x))<br />
  
    Eq(F_167(x), F_168(x) + F_173(x))<br />
  
    Eq(F_168(x), F_148(x) + F_169(x))<br />
  
    Eq(F_169(x), F_170(x))<br />
  
    Eq(F_170(x), F_171(x)*F_31(x))<br />
  
    Eq(F_171(x), F_172(x)/F_31(x))<br />
  
    Eq(F_172(x), F_47(x))<br />
  
    Eq(F_173(x), F_174(x) + F_177(x))<br />
  
    Eq(F_174(x), F_175(x) + F_49(x))<br />
  
    Eq(F_175(x), F_176(x))<br />
  
    Eq(F_176(x), F_174(x)*F_31(x))<br />
  
    Eq(F_177(x), -F_144(x) + F_178(x))<br />
  
    Eq(F_178(x), F_179(x) - F_181(x))<br />
  
    Eq(F_179(x), F_180(x)/F_31(x))<br />
  
    Eq(F_180(x), F_93(x))<br />
  
    Eq(F_181(x), F_182(x) - F_184(x))<br />
  
    Eq(F_182(x), F_183(x)/F_31(x))<br />
  
    Eq(F_183(x), F_93(x))<br />
  
    Eq(F_184(x), F_185(x))<br />
  
    Eq(F_185(x), F_186(x) + F_188(x))<br />
  
    Eq(F_186(x), F_187(x))<br />
  
    Eq(F_187(x), F_143(x)*F_31(x)*F_67(x))<br />
  
    Eq(F_188(x), F_189(x) - F_193(x))<br />
  
    Eq(F_189(x), F_190(x))<br />
  
    Eq(F_190(x), -F_168(x) + F_191(x))<br />
  
    Eq(F_191(x), F_192(x)/F_31(x))<br />
  
    Eq(F_192(x), F_94(x))<br />
  
    Eq(F_193(x), F_194(x))<br />
  
    Eq(F_194(x), F_195(x)*F_31(x)*F_67(x))<br />
  
    Eq(F_195(x), F_137(x) + F_54(x))<br />
  
    Eq(F_196(x), F_148(x) - F_197(x))<br />
  
    Eq(F_197(x), -F_198(x) + F_52(x))<br />
  
    Eq(F_198(x), F_199(x) + F_94(x))<br />
  
    Eq(F_199(x), F_200(x))<br />
  
    Eq(F_200(x), F_201(x)*F_31(x))<br />
  
    Eq(F_201(x), F_202(x) + F_239(x))<br />
  
    Eq(F_202(x), F_203(x))<br />
  
    Eq(F_203(x), F_204(x)*F_31(x))<br />
  
    Eq(F_204(x), F_205(x) + F_235(x))<br />
  
    Eq(F_205(x), F_206(x) + F_234(x))<br />
  
    Eq(F_206(x), F_207(x) + F_208(x))<br />
  
    Eq(F_207(x), F_148(x)*F_28(x))<br />
  
    Eq(F_208(x), F_209(x)*F_54(x))<br />
  
    Eq(F_209(x), F_210(x))<br />
  
    Eq(F_210(x), F_211(x)*F_31(x))<br />
  
    Eq(F_211(x), F_212(x)/F_31(x))<br />
  
    Eq(F_212(x), F_213(x))<br />
  
    Eq(F_213(x), F_214(x)/F_31(x))<br />
  
    Eq(F_214(x), F_215(x))<br />
  
    Eq(F_215(x), F_216(x) - F_41(x) - F_7(x))<br />
  
    Eq(F_216(x), F_217(x))<br />
  
    Eq(F_217(x), -F_218(x) + F_48(x))<br />
  
    Eq(F_218(x), F_219(x))<br />
  
    Eq(F_219(x), F_220(x)*F_31(x))<br />
  
    Eq(F_220(x), F_221(x) + F_231(x))<br />
  
    Eq(F_221(x), F_222(x))<br />
  
    Eq(F_222(x), F_223(x) - F_225(x))<br />
  
    Eq(F_223(x), F_224(x)/F_31(x))<br />
  
    Eq(F_224(x), F_198(x))<br />
  
    Eq(F_225(x), F_226(x) - F_228(x))<br />
  
    Eq(F_226(x), F_227(x)/F_31(x))<br />
  
    Eq(F_227(x), F_196(x))<br />
  
    Eq(F_228(x), -F_171(x) + F_229(x))<br />
  
    Eq(F_229(x), F_230(x)/F_31(x))<br />
  
    Eq(F_230(x), F_196(x))<br />
  
    Eq(F_231(x), F_232(x) + F_47(x))<br />
  
    Eq(F_232(x), F_233(x))<br />
  
    Eq(F_233(x), F_31(x)*F_37(x)*F_47(x))<br />
  
    Eq(F_234(x), F_28(x)*F_47(x))<br />
  
    Eq(F_235(x), F_236(x))<br />
  
    Eq(F_236(x), F_237(x) + F_238(x))<br />
  
    Eq(F_237(x), F_173(x)*F_28(x))<br />
  
    Eq(F_238(x), F_209(x)*F_49(x))<br />
  
    Eq(F_239(x), F_240(x))<br />
  
    Eq(F_240(x), F_201(x)*F_28(x)*F_31(x))<br />
  
    Eq(F_241(x), F_242(x))<br />
  
    Eq(F_242(x), F_243(x) - F_244(x))<br />
  
    Eq(F_243(x), F_175(x) + F_177(x))<br />
  
    Eq(F_244(x), F_245(x))<br />
  
    Eq(F_245(x), F_228(x)*F_31(x))<br />
  
    Eq(F_246(x), F_107(x)*F_150(x)*F_31(x))<br />
  
    Eq(F_247(x), F_248(x))<br />
  
    Eq(F_248(x), F_107(x)*F_167(x)*F_31(x))<br />
  
    Eq(F_249(x), F_107(x)*F_169(x))<br />
  
    Eq(F_250(x), F_251(x))<br />
  
    Eq(F_251(x), F_252(x)*F_31(x))<br />
  
    Eq(F_252(x), F_253(x) + F_254(x))<br />
  
    Eq(F_253(x), F_108(x)*F_148(x))<br />
  
    Eq(F_254(x), F_156(x)*F_189(x))<br />
  
    Eq(F_255(x), F_256(x)*F_31(x))<br />
  
    Eq(F_256(x), F_257(x) - F_88(x))<br />
  
    Eq(F_257(x), F_258(x)/F_31(x))<br />
  
    Eq(F_258(x), -F_1(x) + F_259(x) - F_389(x) - F_392(x))<br />
  
    Eq(F_259(x), F_260(x) + F_270(x))<br />
  
    Eq(F_260(x), F_0(x) + F_261(x))<br />
  
    Eq(F_261(x), F_262(x) + F_264(x) + F_7(x))<br />
  
    Eq(F_262(x), F_263(x)*F_31(x))<br />
  
    Eq(F_263(x), F_49(x) + F_54(x))<br />
  
    Eq(F_264(x), F_265(x)*F_31(x))<br />
  
    Eq(F_265(x), F_266(x) + F_268(x))<br />
  
    Eq(F_266(x), F_267(x))<br />
  
    Eq(F_267(x), F_107(x)*F_16(x))<br />
  
    Eq(F_268(x), F_269(x))<br />
  
    Eq(F_269(x), F_130(x)*F_31(x))<br />
  
    Eq(F_270(x), F_271(x) + F_285(x))<br />
  
    Eq(F_271(x), F_123(x) + F_272(x) + F_7(x))<br />
  
    Eq(F_272(x), F_273(x)*F_31(x))<br />
  
    Eq(F_273(x), F_153(x) + F_274(x))<br />
  
    Eq(F_274(x), F_275(x))<br />
  
    Eq(F_275(x), F_276(x)*F_31(x))<br />
  
    Eq(F_276(x), F_277(x) + F_281(x))<br />
  
    Eq(F_277(x), F_278(x) + F_280(x))<br />
  
    Eq(F_278(x), F_279(x)*F_54(x))<br />
  
    Eq(F_279(x), F_134(x) + F_16(x))<br />
  
    Eq(F_280(x), F_28(x)*F_94(x))<br />
  
    Eq(F_281(x), F_282(x))<br />
  
    Eq(F_282(x), F_28(x)*F_283(x)*F_31(x))<br />
  
    Eq(F_283(x), F_284(x)/F_31(x))<br />
  
    Eq(F_284(x), F_152(x))<br />
  
    Eq(F_285(x), F_286(x))<br />
  
    Eq(F_286(x), F_287(x)*F_31(x))<br />
  
    Eq(F_287(x), F_15(x) + F_288(x))<br />
  
    Eq(F_288(x), F_289(x))<br />
  
    Eq(F_289(x), F_290(x)*F_31(x))<br />
  
    Eq(F_290(x), F_291(x) + F_385(x))<br />
  
    Eq(F_291(x), F_292(x) + F_382(x))<br />
  
    Eq(F_292(x), F_293(x) + F_334(x))<br />
  
    Eq(F_293(x), F_279(x)*F_294(x))<br />
  
    Eq(F_294(x), F_295(x) + F_4(x))<br />
  
    Eq(F_295(x), F_271(x) + F_296(x))<br />
  
    Eq(F_296(x), F_297(x))<br />
  
    Eq(F_297(x), F_298(x)*F_31(x))<br />
  
    Eq(F_298(x), F_299(x) + F_307(x))<br />
  
    Eq(F_299(x), F_300(x) + F_301(x))<br />
  
    Eq(F_300(x), F_158(x)*F_2(x))<br />
  
    Eq(F_301(x), F_302(x))<br />
  
    Eq(F_302(x), F_303(x)*F_31(x))<br />
  
    Eq(F_303(x), F_304(x) + F_47(x))<br />
  
    Eq(F_304(x), F_305(x))<br />
  
    Eq(F_305(x), F_2(x)*F_306(x))<br />
  
    Eq(F_306(x), F_213(x) + F_22(x))<br />
  
    Eq(F_307(x), F_308(x) + F_329(x))<br />
  
    Eq(F_308(x), F_309(x) + F_310(x))<br />
  
    Eq(F_309(x), F_151(x))<br />
  
    Eq(F_310(x), F_311(x))<br />
  
    Eq(F_311(x), F_31(x)*F_312(x))<br />
  
    Eq(F_312(x), F_313(x) + F_323(x))<br />
  
    Eq(F_313(x), F_314(x)*F_317(x))<br />
  
    Eq(F_314(x), F_16(x) + F_315(x))<br />
  
    Eq(F_315(x), F_316(x))<br />
  
    Eq(F_316(x), F_148(x)*F_31(x))<br />
  
    Eq(F_317(x), F_318(x)/F_31(x))<br />
  
    Eq(F_318(x), F_108(x) - F_319(x) - F_322(x) - F_7(x))<br />
  
    Eq(F_319(x), F_31(x)*F_320(x))<br />
  
    Eq(F_320(x), F_108(x) + F_321(x))<br />
  
    Eq(F_321(x), F_110(x))<br />
  
    Eq(F_322(x), F_156(x)*F_31(x))<br />
  
    Eq(F_323(x), F_324(x))<br />
  
    Eq(F_324(x), F_161(x)*F_31(x)*F_325(x))<br />
  
    Eq(F_325(x), F_153(x) + F_326(x) + F_328(x))<br />
  
    Eq(F_326(x), F_327(x))<br />
  
    Eq(F_327(x), F_167(x)*F_31(x))<br />
  
    Eq(F_328(x), F_150(x)*F_31(x))<br />
  
    Eq(F_329(x), F_330(x))<br />
  
    Eq(F_330(x), F_31(x)*F_331(x))<br />
  
    Eq(F_331(x), F_189(x) + F_332(x))<br />
  
    Eq(F_332(x), F_333(x))<br />
  
    Eq(F_333(x), F_112(x)*F_2(x))<br />
  
    Eq(F_334(x), F_16(x)*F_335(x))<br />
  
    Eq(F_335(x), -F_294(x) + F_336(x))<br />
  
    Eq(F_336(x), F_259(x) + F_337(x))<br />
  
    Eq(F_337(x), F_338(x))<br />
  
    Eq(F_338(x), F_31(x)*F_339(x))<br />
  
    Eq(F_339(x), F_340(x) + F_381(x))<br />
  
    Eq(F_340(x), F_341(x) + F_348(x))<br />
  
    Eq(F_341(x), F_342(x) + F_345(x))<br />
  
    Eq(F_342(x), F_343(x) + F_344(x))<br />
  
    Eq(F_343(x), F_300(x) + F_88(x))<br />
  
    Eq(F_344(x), F_158(x)*F_5(x))<br />
  
    Eq(F_345(x), F_309(x) + F_346(x) + F_347(x))<br />
  
    Eq(F_346(x), F_263(x)*F_31(x)*F_317(x))<br />
  
    Eq(F_347(x), F_273(x)*F_31(x)*F_317(x))<br />
  
    Eq(F_348(x), F_349(x) + F_378(x))<br />
  
    Eq(F_349(x), F_350(x) + F_376(x))<br />
  
    Eq(F_350(x), F_351(x) + F_361(x))<br />
  
    Eq(F_351(x), F_352(x) + F_354(x))<br />
  
    Eq(F_352(x), F_315(x) + F_353(x))<br />
  
    Eq(F_353(x), F_302(x))<br />
  
    Eq(F_354(x), F_355(x))<br />
  
    Eq(F_355(x), F_356(x))<br />
  
    Eq(F_356(x), F_31(x)*F_357(x))<br />
  
    Eq(F_357(x), F_358(x) + F_360(x))<br />
  
    Eq(F_358(x), F_359(x))<br />
  
    Eq(F_359(x), F_10(x)*F_22(x))<br />
  
    Eq(F_360(x), F_44(x))<br />
  
    Eq(F_361(x), F_362(x))<br />
  
    Eq(F_362(x), F_31(x)*F_363(x))<br />
  
    Eq(F_363(x), F_331(x) + F_364(x))<br />
  
    Eq(F_364(x), F_365(x))<br />
  
    Eq(F_365(x), F_112(x)*F_366(x))<br />
  
    Eq(F_366(x), F_367(x) + F_368(x) + F_7(x))<br />
  
    Eq(F_367(x), F_294(x)*F_31(x))<br />
  
    Eq(F_368(x), F_369(x))<br />
  
    Eq(F_369(x), F_31(x)*F_370(x))<br />
  
    Eq(F_370(x), F_371(x))<br />
  
    Eq(F_371(x), F_31(x)*F_372(x))<br />
  
    Eq(F_372(x), F_373(x) + F_375(x))<br />
  
    Eq(F_373(x), F_374(x) + F_4(x))<br />
  
    Eq(F_374(x), F_153(x)*F_2(x))<br />
  
    Eq(F_375(x), F_153(x)*F_5(x))<br />
  
    Eq(F_376(x), F_377(x))<br />
  
    Eq(F_377(x), F_189(x)*F_31(x))<br />
  
    Eq(F_378(x), F_379(x))<br />
  
    Eq(F_379(x), F_380(x))<br />
  
    Eq(F_380(x), F_169(x)*F_31(x))<br />
  
    Eq(F_381(x), F_307(x))<br />
  
    Eq(F_382(x), F_279(x)*F_383(x))<br />
  
    Eq(F_383(x), F_384(x))<br />
  
    Eq(F_384(x), F_31(x)*F_372(x))<br />
  
    Eq(F_385(x), F_386(x))<br />
  
    Eq(F_386(x), F_16(x)*F_31(x)*F_387(x))<br />
  
    Eq(F_387(x), F_373(x) + F_388(x))<br />
  
    Eq(F_388(x), F_153(x)*F_366(x))<br />
  
    Eq(F_389(x), F_31(x)*F_390(x))<br />
  
    Eq(F_390(x), F_263(x) + F_391(x))<br />
  
    Eq(F_391(x), F_49(x))<br />
  
    Eq(F_392(x), F_31(x)*F_393(x))<br />
  
    Eq(F_393(x), F_273(x) + F_394(x))<br />
  
    Eq(F_394(x), F_125(x) + F_94(x))<br />
  
    Eq(F_395(x), F_396(x))<br />
  
    Eq(F_396(x), F_355(x) + F_397(x))<br />
  
    Eq(F_397(x), F_10(x)*F_16(x))<br />
  
    Eq(F_398(x), F_399(x))<br />
  
    Eq(F_399(x), F_400(x) - F_407(x))<br />
  
    Eq(F_400(x), F_401(x) + F_403(x))<br />
  
    Eq(F_401(x), F_402(x)/F_31(x))<br />
  
    Eq(F_402(x), F_261(x))<br />
  
    Eq(F_403(x), F_404(x))<br />
  
    Eq(F_404(x), F_31(x)*F_405(x))<br />
  
    Eq(F_405(x), F_314(x) + F_406(x))<br />
  
    Eq(F_406(x), F_2(x)*F_28(x))<br />
  
    Eq(F_407(x), F_403(x) + F_408(x))<br />
  
    Eq(F_408(x), F_352(x) + F_409(x))<br />
  
    Eq(F_409(x), F_0(x)*F_16(x))<br />
  
    Eq(F_410(x), F_411(x))<br />
  
    Eq(F_411(x), F_111(x)*F_153(x)*F_31(x))<br />
  
    Eq(F_412(x), F_413(x) + F_414(x))<br />
  
    Eq(F_413(x), F_156(x)*F_98(x))<br />
  
    Eq(F_414(x), F_415(x))<br />
  
    Eq(F_415(x), F_100(x)*F_22(x)*F_31(x))<br />
  
    Eq(F_416(x), F_107(x)*F_31(x))<br />
  
    Eq(F_417(x), F_418(x) + F_423(x))<br />
  
    Eq(F_418(x), F_419(x))<br />
  
    Eq(F_419(x), F_31(x)*F_420(x))<br />
  
    Eq(F_420(x), F_421(x) + F_422(x))<br />
  
    Eq(F_421(x), F_1(x) + F_31(x))<br />
  
    Eq(F_422(x), F_31(x))<br />
  
    Eq(F_423(x), F_424(x) + F_473(x) + F_7(x))<br />
  
    Eq(F_424(x), F_31(x)*F_425(x))<br />
  
    Eq(F_425(x), F_417(x) + F_426(x))<br />
  
    Eq(F_426(x), F_427(x) + F_445(x))<br />
  
    Eq(F_427(x), F_428(x) + F_438(x) + F_7(x))<br />
  
    Eq(F_428(x), F_31(x)*F_429(x))<br />
  
    Eq(F_429(x), F_430(x) + F_431(x))<br />
  
    Eq(F_430(x), F_418(x) + F_427(x))<br />
  
    Eq(F_431(x), F_432(x) + F_435(x))<br />
  
    Eq(F_432(x), F_433(x))<br />
  
    Eq(F_433(x), F_31(x)*F_434(x))<br />
  
    Eq(F_434(x), F_418(x) + F_432(x))<br />
  
    Eq(F_435(x), F_436(x))<br />
  
    Eq(F_436(x), F_31(x)*F_437(x))<br />
  
    Eq(F_437(x), F_427(x) + F_435(x))<br />
  
    Eq(F_438(x), F_31(x)*F_439(x))<br />
  
    Eq(F_439(x), F_440(x) + F_444(x))<br />
  
    Eq(F_440(x), F_441(x) + F_65(x))<br />
  
    Eq(F_441(x), F_442(x))<br />
  
    Eq(F_442(x), F_31(x)*F_443(x))<br />
  
    Eq(F_443(x), F_31(x) + F_441(x))<br />
  
    Eq(F_444(x), F_441(x))<br />
  
    Eq(F_445(x), F_446(x) + F_456(x) + F_460(x) + F_7(x))<br />
  
    Eq(F_446(x), F_31(x)*F_447(x))<br />
  
    Eq(F_447(x), F_448(x) + F_449(x))<br />
  
    Eq(F_448(x), F_423(x) + F_445(x))<br />
  
    Eq(F_449(x), F_450(x) + F_453(x))<br />
  
    Eq(F_450(x), F_451(x))<br />
  
    Eq(F_451(x), F_31(x)*F_452(x))<br />
  
    Eq(F_452(x), F_423(x) + F_450(x))<br />
  
    Eq(F_453(x), F_454(x))<br />
  
    Eq(F_454(x), F_31(x)*F_455(x))<br />
  
    Eq(F_455(x), F_445(x) + F_453(x))<br />
  
    Eq(F_456(x), F_31(x)*F_457(x))<br />
  
    Eq(F_457(x), F_458(x) + F_459(x))<br />
  
    Eq(F_458(x), F_432(x) + F_450(x))<br />
  
    Eq(F_459(x), F_435(x) + F_453(x))<br />
  
    Eq(F_460(x), F_31(x)*F_461(x))<br />
  
    Eq(F_461(x), F_462(x) + F_472(x))<br />
  
    Eq(F_462(x), F_463(x) + F_68(x))<br />
  
    Eq(F_463(x), F_464(x))<br />
  
    Eq(F_464(x), F_31(x)*F_465(x))<br />
  
    Eq(F_465(x), F_463(x) + F_466(x))<br />
  
    Eq(F_466(x), F_467(x) + F_471(x) + F_7(x))<br />
  
    Eq(F_467(x), F_31(x)*F_468(x))<br />
  
    Eq(F_468(x), F_469(x) + F_470(x))<br />
  
    Eq(F_469(x), F_31(x) + F_466(x))<br />
  
    Eq(F_470(x), F_441(x) + F_463(x))<br />
  
    Eq(F_471(x), F_31(x)*F_65(x))<br />
  
    Eq(F_472(x), F_463(x))<br />
  
    Eq(F_473(x), F_31(x)*F_474(x))<br />
  
    Eq(F_474(x), F_475(x) + F_476(x))<br />
  
    Eq(F_475(x), F_466(x) + F_60(x))<br />
  
    Eq(F_476(x), F_466(x))<br />
  
    Eq(F_477(x), F_478(x))<br />
  
    Eq(F_478(x), F_283(x)*F_31(x))<br />
  
    Eq(F_479(x), F_480(x))<br />
  
    Eq(F_480(x), F_31(x)*F_481(x))<br />
  
    Eq(F_481(x), F_482(x) + F_484(x))<br />
  
    Eq(F_482(x), F_483(x))<br />
  
    Eq(F_483(x), F_206(x)*F_31(x))<br />
  
    Eq(F_484(x), F_485(x))<br />
  
    Eq(F_485(x), F_28(x)*F_31(x)*F_481(x))<br />
  
    Eq(F_486(x), F_487(x))<br />
  
    Eq(F_487(x), F_231(x)*F_31(x))<br />
  
    Eq(F_488(x), F_489(x))<br />
  
    Eq(F_489(x), F_2(x)*F_213(x))<br />
  
    Eq(F_490(x), F_491(x))<br />
  
    Eq(F_491(x), F_213(x)*F_271(x))<br />
  
    Eq(F_492(x), F_493(x))<br />
  
    Eq(F_493(x), F_213(x)*F_494(x))<br />
  
    Eq(F_494(x), F_495(x))<br />
  
    Eq(F_495(x), F_31(x)*F_496(x))<br />
  
    Eq(F_496(x), F_497(x) + F_508(x))<br />
  
    Eq(F_497(x), F_498(x) + F_507(x))<br />
  
    Eq(F_498(x), F_499(x) + F_500(x))<br />
  
    Eq(F_499(x), F_16(x)*F_4(x))<br />
  
    Eq(F_500(x), F_501(x))<br />
  
    Eq(F_501(x), F_31(x)*F_502(x))<br />
  
    Eq(F_502(x), F_358(x) + F_503(x))<br />
  
    Eq(F_503(x), F_148(x) + F_504(x))<br />
  
    Eq(F_504(x), F_2(x)*F_505(x))<br />
  
    Eq(F_505(x), F_506(x)/F_31(x))<br />
  
    Eq(F_506(x), F_108(x))<br />
  
    Eq(F_507(x), F_28(x)*F_295(x))<br />
  
    Eq(F_508(x), F_509(x))<br />
  
    Eq(F_509(x), F_31(x)*F_510(x))<br />
  
    Eq(F_510(x), F_511(x) + F_512(x))<br />
  
    Eq(F_511(x), F_279(x)*F_373(x))<br />
  
    Eq(F_512(x), F_10(x)*F_153(x)*F_28(x))<br />
  
    Eq(F_513(x), F_514(x))<br />
  
    Eq(F_514(x), F_31(x)*F_515(x))<br />
  
    Eq(F_515(x), F_516(x) + F_692(x))<br />
  
    Eq(F_516(x), F_517(x) + F_598(x))<br />
  
    Eq(F_517(x), F_518(x) + F_597(x))<br />
  
    Eq(F_518(x), F_293(x) + F_519(x))<br />
  
    Eq(F_519(x), F_520(x))<br />
  
    Eq(F_520(x), F_31(x)*F_521(x))<br />
  
    Eq(F_521(x), F_522(x)/F_31(x))<br />
  
    Eq(F_522(x), F_523(x))<br />
  
    Eq(F_523(x), F_524(x) + F_595(x))<br />
  
    Eq(F_524(x), F_331(x) + F_525(x))<br />
  
    Eq(F_525(x), F_526(x) + F_593(x))<br />
  
    Eq(F_526(x), F_2(x)*F_527(x))<br />
  
    Eq(F_527(x), F_528(x))<br />
  
    Eq(F_528(x), F_529(x) - F_587(x))<br />
  
    Eq(F_529(x), F_530(x)/F_31(x))<br />
  
    Eq(F_530(x), F_531(x))<br />
  
    Eq(F_531(x), F_532(x) + F_551(x))<br />
  
    Eq(F_532(x), F_533(x)/F_0(x))<br />
  
    Eq(F_533(x), F_534(x) - F_574(x))<br />
  
    Eq(F_534(x), F_535(x) - F_549(x))<br />
  
    Eq(F_535(x), F_536(x)/F_31(x))<br />
  
    Eq(F_536(x), F_537(x))<br />
  
    Eq(F_537(x), F_31(x)*F_538(x))<br />
  
    Eq(F_538(x), F_539(x) + F_541(x))<br />
  
    Eq(F_539(x), F_540(x))<br />
  
    Eq(F_540(x), F_22(x)*F_31(x)*F_88(x))<br />
  
    Eq(F_541(x), F_542(x) - F_545(x))<br />
  
    Eq(F_542(x), F_543(x)/F_31(x))<br />
  
    Eq(F_543(x), F_544(x))<br />
  
    Eq(F_544(x), F_152(x) - F_50(x))<br />
  
    Eq(F_545(x), F_546(x) + F_547(x))<br />
  
    Eq(F_546(x), F_156(x)*F_50(x))<br />
  
    Eq(F_547(x), F_548(x))<br />
  
    Eq(F_548(x), F_22(x)*F_309(x)*F_31(x))<br />
  
    Eq(F_549(x), F_550(x) + F_552(x) + F_566(x))<br />
  
    Eq(F_550(x), F_34(x) + F_551(x))<br />
  
    Eq(F_551(x), F_110(x))<br />
  
    Eq(F_552(x), F_31(x)*F_553(x))<br />
  
    Eq(F_553(x), F_554(x) + F_560(x))<br />
  
    Eq(F_554(x), F_555(x))<br />
  
    Eq(F_555(x), F_31(x)*F_556(x))<br />
  
    Eq(F_556(x), F_557(x) + F_559(x))<br />
  
    Eq(F_557(x), F_390(x)*F_558(x))<br />
  
    Eq(F_558(x), F_112(x) + F_22(x))<br />
  
    Eq(F_559(x), F_213(x)*F_54(x))<br />
  
    Eq(F_560(x), F_561(x))<br />
  
    Eq(F_561(x), F_31(x)*F_562(x))<br />
  
    Eq(F_562(x), F_563(x) + F_564(x))<br />
  
    Eq(F_563(x), F_393(x)*F_558(x))<br />
  
    Eq(F_564(x), F_565(x))<br />
  
    Eq(F_565(x), F_16(x)*F_213(x)*F_53(x))<br />
  
    Eq(F_566(x), F_567(x))<br />
  
    Eq(F_567(x), F_31(x)*F_568(x))<br />
  
    Eq(F_568(x), F_569(x))<br />
  
    Eq(F_569(x), F_31(x)*F_570(x))<br />
  
    Eq(F_570(x), F_571(x) + F_572(x))<br />
  
    Eq(F_571(x), F_257(x)*F_558(x))<br />
  
    Eq(F_572(x), F_573(x))<br />
  
    Eq(F_573(x), F_16(x)*F_213(x)*F_88(x))<br />
  
    Eq(F_574(x), F_575(x))<br />
  
    Eq(F_575(x), F_31(x)*F_576(x))<br />
  
    Eq(F_576(x), F_577(x) + F_582(x))<br />
  
    Eq(F_577(x), F_578(x) + F_580(x))<br />
  
    Eq(F_578(x), F_10(x)*F_579(x))<br />
  
    Eq(F_579(x), F_505(x) + F_527(x))<br />
  
    Eq(F_580(x), F_581(x))<br />
  
    Eq(F_581(x), F_558(x)*F_9(x))<br />
  
    Eq(F_582(x), F_583(x) + F_585(x))<br />
  
    Eq(F_583(x), F_10(x)*F_584(x))<br />
  
    Eq(F_584(x), F_212(x))<br />
  
    Eq(F_585(x), F_586(x))<br />
  
    Eq(F_586(x), F_213(x)*F_295(x))<br />
  
    Eq(F_587(x), F_588(x) + F_590(x))<br />
  
    Eq(F_588(x), F_589(x)/F_31(x))<br />
  
    Eq(F_589(x), F_320(x))<br />
  
    Eq(F_590(x), F_591(x))<br />
  
    Eq(F_591(x), F_592(x))<br />
  
    Eq(F_592(x), F_211(x)*F_31(x))<br />
  
    Eq(F_593(x), F_594(x))<br />
  
    Eq(F_594(x), F_112(x)*F_6(x))<br />
  
    Eq(F_595(x), F_596(x))<br />
  
    Eq(F_596(x), F_112(x)*F_295(x))<br />
  
    Eq(F_597(x), F_28(x)*F_335(x))<br />
  
    Eq(F_598(x), F_599(x))<br />
  
    Eq(F_599(x), F_600(x) - F_688(x))<br />
  
    Eq(F_600(x), F_601(x)/F_31(x))<br />
  
    Eq(F_601(x), F_602(x))<br />
  
    Eq(F_602(x), F_603(x) + F_613(x))<br />
  
    Eq(F_603(x), F_366(x) + F_604(x) + F_611(x))<br />
  
    Eq(F_604(x), F_31(x)*F_605(x))<br />
  
    Eq(F_605(x), F_606(x) + F_607(x))<br />
  
    Eq(F_606(x), F_156(x)*F_366(x))<br />
  
    Eq(F_607(x), F_608(x))<br />
  
    Eq(F_608(x), F_22(x)*F_31(x)*F_609(x))<br />
  
    Eq(F_609(x), F_610(x))<br />
  
    Eq(F_610(x), F_31(x)*F_387(x))<br />
  
    Eq(F_611(x), F_612(x))<br />
  
    Eq(F_612(x), F_16(x)*F_31(x)*F_609(x))<br />
  
    Eq(F_613(x), F_614(x) - F_687(x))<br />
  
    Eq(F_614(x), F_615(x) + F_685(x))<br />
  
    Eq(F_615(x), F_616(x) + F_621(x))<br />
  
    Eq(F_616(x), F_617(x))<br />
  
    Eq(F_617(x), F_379(x) + F_618(x))<br />
  
    Eq(F_618(x), F_2(x)*F_619(x))<br />
  
    Eq(F_619(x), F_620(x))<br />
  
    Eq(F_620(x), F_31(x)*F_591(x))<br />
  
    Eq(F_621(x), F_622(x) - F_679(x))<br />
  
    Eq(F_622(x), F_623(x) + F_648(x))<br />
  
    Eq(F_623(x), F_624(x))<br />
  
    Eq(F_624(x), F_31(x)*F_625(x))<br />
  
    Eq(F_625(x), F_626(x) + F_646(x))<br />
  
    Eq(F_626(x), F_627(x) + F_629(x))<br />
  
    Eq(F_627(x), F_503(x) + F_628(x))<br />
  
    Eq(F_628(x), F_366(x)*F_505(x))<br />
  
    Eq(F_629(x), F_630(x))<br />
  
    Eq(F_630(x), F_31(x)*F_631(x))<br />
  
    Eq(F_631(x), F_632(x)/F_31(x))<br />
  
    Eq(F_632(x), F_633(x))<br />
  
    Eq(F_633(x), F_634(x) + F_645(x))<br />
  
    Eq(F_634(x), F_635(x)/F_31(x))<br />
  
    Eq(F_635(x), F_636(x))<br />
  
    Eq(F_636(x), F_637(x) + F_638(x) + F_642(x) + F_7(x))<br />
  
    Eq(F_637(x), F_377(x))<br />
  
    Eq(F_638(x), F_639(x))<br />
  
    Eq(F_639(x), F_31(x)*F_54(x)*F_640(x))<br />
  
    Eq(F_640(x), F_641(x))<br />
  
    Eq(F_641(x), F_31(x)*F_527(x))<br />
  
    Eq(F_642(x), F_31(x)*F_643(x))<br />
  
    Eq(F_643(x), F_644(x))<br />
  
    Eq(F_644(x), F_112(x)*F_16(x)*F_31(x)*F_54(x))<br />
  
    Eq(F_645(x), F_16(x)*F_525(x))<br />
  
    Eq(F_646(x), F_647(x))<br />
  
    Eq(F_647(x), F_31(x)*F_521(x))<br />
  
    Eq(F_648(x), F_649(x) + F_657(x))<br />
  
    Eq(F_649(x), F_379(x) + F_650(x))<br />
  
    Eq(F_650(x), F_651(x))<br />
  
    Eq(F_651(x), F_31(x)*F_652(x))<br />
  
    Eq(F_652(x), F_653(x) + F_655(x))<br />
  
    Eq(F_653(x), F_654(x))<br />
  
    Eq(F_654(x), F_209(x)*F_263(x)*F_31(x))<br />
  
    Eq(F_655(x), F_656(x))<br />
  
    Eq(F_656(x), F_209(x)*F_273(x)*F_31(x))<br />
  
    Eq(F_657(x), F_658(x))<br />
  
    Eq(F_658(x), F_209(x)*F_31(x)*F_659(x))<br />
  
    Eq(F_659(x), F_271(x) + F_660(x))<br />
  
    Eq(F_660(x), F_661(x))<br />
  
    Eq(F_661(x), F_31(x)*F_662(x))<br />
  
    Eq(F_662(x), F_663(x) + F_677(x))<br />
  
    Eq(F_663(x), F_664(x) + F_665(x))<br />
  
    Eq(F_664(x), F_156(x)*F_271(x))<br />
  
    Eq(F_665(x), F_666(x) + F_668(x))<br />
  
    Eq(F_666(x), F_49(x) + F_667(x))<br />
  
    Eq(F_667(x), F_108(x)*F_2(x))<br />
  
    Eq(F_668(x), F_669(x))<br />
  
    Eq(F_669(x), F_16(x)*F_31(x)*F_670(x))<br />
  
    Eq(F_670(x), F_671(x) + F_675(x))<br />
  
    Eq(F_671(x), F_672(x))<br />
  
    Eq(F_672(x), F_31(x)*F_673(x))<br />
  
    Eq(F_673(x), F_20(x) + F_674(x))<br />
  
    Eq(F_674(x), F_4(x)*F_505(x))<br />
  
    Eq(F_675(x), F_676(x))<br />
  
    Eq(F_676(x), F_22(x)*F_259(x)*F_31(x))<br />
  
    Eq(F_677(x), F_678(x))<br />
  
    Eq(F_678(x), F_22(x)*F_295(x)*F_31(x))<br />
  
    Eq(F_679(x), F_616(x) + F_680(x))<br />
  
    Eq(F_680(x), -F_649(x) + F_681(x))<br />
  
    Eq(F_681(x), F_325(x) - F_682(x))<br />
  
    Eq(F_682(x), F_409(x) + F_683(x))<br />
  
    Eq(F_683(x), F_684(x))<br />
  
    Eq(F_684(x), F_28(x)*F_31(x)*F_325(x))<br />
  
    Eq(F_685(x), F_686(x))<br />
  
    Eq(F_686(x), F_209(x)*F_31(x)*F_609(x))<br />
  
    Eq(F_687(x), F_648(x))<br />
  
    Eq(F_688(x), F_518(x) + F_689(x))<br />
  
    Eq(F_689(x), F_690(x))<br />
  
    Eq(F_690(x), F_31(x)*F_387(x)*F_691(x))<br />
  
    Eq(F_691(x), F_209(x) + F_28(x))<br />
  
    Eq(F_692(x), F_689(x))<br />
  
    Eq(F_693(x), F_31(x)*F_694(x))<br />
  
    Eq(F_694(x), F_259(x) - F_4(x))<br />
  
  Pack JSON:<br />{&#34;name&#34;: &#34;point_and_col_placements_req_corrob_symmetries&#34;, &#34;initial_strats&#34;: [{&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorFactory&#34;, &#34;interleaving&#34;: null, &#34;unions&#34;: false, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;tracked&#34;: false}, {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;PointCorroborationFactory&#34;, &#34;ignore_parent&#34;: true}, {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementCorroborationFactory&#34;, &#34;ignore_parent&#34;: true}], &#34;inferral_strats&#34;: [{&#34;class_module&#34;: &#34;tilings.strategies.row_and_col_separation&#34;, &#34;strategy_class&#34;: &#34;RowColumnSeparationStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;inferrable&#34;: true, &#34;possibly_empty&#34;: false, &#34;workable&#34;: true}, {&#34;class_module&#34;: &#34;tilings.strategies.obstruction_inferral&#34;, &#34;strategy_class&#34;: &#34;ObstructionTransitivityFactory&#34;}], &#34;ver_strats&#34;: [{&#34;class_module&#34;: &#34;tilings.strategies.verification&#34;, &#34;strategy_class&#34;: &#34;BasicVerificationStrategy&#34;}, {&#34;class_module&#34;: &#34;tilings.strategies.verification&#34;, &#34;strategy_class&#34;: &#34;InsertionEncodingVerificationStrategy&#34;, &#34;ignore_parent&#34;: false}, {&#34;class_module&#34;: &#34;tilings.strategies.verification&#34;, &#34;strategy_class&#34;: &#34;OneByOneVerificationStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;basis&#34;: [[0, 2, 3, 4, 1], [0, 2, 4, 3, 1], [0, 3, 2, 4, 1], [0, 3, 4, 2, 1], [0, 4, 2, 3, 1], [0, 4, 3, 2, 1], [4, 0, 2, 3, 1], [4, 0, 3, 2, 1]], &#34;symmetry&#34;: true}, {&#34;class_module&#34;: &#34;tilings.strategies.verification&#34;, &#34;strategy_class&#34;: &#34;LocallyFactorableVerificationStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;basis&#34;: [[0, 2, 3, 4, 1], [0, 2, 4, 3, 1], [0, 3, 2, 4, 1], [0, 3, 4, 2, 1], [0, 4, 2, 3, 1], [0, 4, 3, 2, 1], [4, 0, 2, 3, 1], [4, 0, 3, 2, 1]], &#34;symmetry&#34;: true}], &#34;expansion_strats&#34;: [[{&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;CellInsertionFactory&#34;, &#34;ignore_parent&#34;: false, &#34;maxreqlen&#34;: 1, &#34;extra_basis&#34;: [], &#34;one_cell_only&#34;: false}, {&#34;class_module&#34;: &#34;tilings.strategies.requirement_placement&#34;, &#34;strategy_class&#34;: &#34;PatternPlacementFactory&#34;, &#34;partial&#34;: false, &#34;ignore_parent&#34;: false, &#34;dirs&#34;: [0, 1, 2, 3], &#34;point_only&#34;: false}, {&#34;class_module&#34;: &#34;tilings.strategies.requirement_placement&#34;, &#34;strategy_class&#34;: &#34;RowAndColumnPlacementFactory&#34;, &#34;partial&#34;: false, &#34;ignore_parent&#34;: false, &#34;dirs&#34;: [0, 1, 2, 3], &#34;place_row&#34;: false, &#34;place_col&#34;: true}]], &#34;symmetries&#34;: [{&#34;class_module&#34;: &#34;tilings.strategies.symmetry&#34;, &#34;strategy_class&#34;: &#34;SymmetriesFactory&#34;, &#34;basis&#34;: [[0, 2, 3, 4, 1], [0, 2, 4, 3, 1], [0, 3, 2, 4, 1], [0, 3, 4, 2, 1], [0, 4, 2, 3, 1], [0, 4, 3, 2, 1], [4, 0, 2, 3, 1], [4, 0, 3, 2, 1]]}], &#34;iterative&#34;: false}<br />
  Specification JSON:<br />{&#34;root&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, &#34;rules&#34;: [{&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;ReverseRule&#34;, &#34;original_rule&#34;: {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 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{&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 4], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 4], [1, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 4], [1, 4]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 4], [1, 4], [1, 4]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[1, 4], [1, 4], [1, 4]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 4], [1, 4], [1, 4]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 4], [1, 0], [1, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 4], [1, 0], [1, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 4], [1, 0], [1, 4]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 4], [1, 4], [1, 4]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 4], [1, 4], [1, 4]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 4], [1, 3]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[1, 3], [1, 4], [1, 4], [1, 3]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[1, 3], [1, 4], [1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[1, 3], [1, 4], [1, 4], [1, 3]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 4], [1, 3]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[1, 4], [1, 3], [1, 4], [1, 3]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 3], [1, 4], [1, 3], [1, 3]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 4], [1, 4], [1, 3], [1, 3]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[1, 4], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[1, 4], [1, 3], [1, 4], [1, 3]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[1, 4], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[1, 4], [1, 4], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 3], [1, 3], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 3], [1, 4], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 4], [1, 4], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[1, 1], [1, 3], [1, 3], [1, 3], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[1, 1], [1, 3], [1, 3], [1, 4], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[1, 1], [1, 3], [1, 4], [1, 4], [1, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 3], [1, 3], [1, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 4], [1, 3], [1, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 4], [1, 4], [1, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[1, 1], [1, 3], [1, 3], [1, 3], [1, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[1, 1], [1, 3], [1, 4], [1, 3], [1, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[1, 1], [1, 3], [1, 4], [1, 4], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[1, 1], [1, 3], [1, 1], [1, 3], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[1, 1], [1, 3], [1, 1], [1, 4], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[1, 1], [1, 3], [1, 3], [1, 3], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[1, 1], [1, 3], [1, 3], [1, 4], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[1, 1], [1, 4], [1, 1], [1, 4], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[1, 1], [1, 4], [1, 3], [1, 4], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 1], [1, 3], [1, 3], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 1], [1, 3], [1, 3], [1, 3], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 1], [1, 3], [1, 4], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 1], [1, 3], [1, 4], [1, 3], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 1], [1, 4], [1, 4], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 1], [1, 4], [1, 4], [1, 3], [1, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 3], [1, 1], [1, 3], [1, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 3], [1, 3], [1, 3], [1, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 4], [1, 1], [1, 3], [1, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 4], [1, 1], [1, 4], [1, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 4], [1, 3], [1, 3], [1, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 4], [1, 3], [1, 4], [1, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 3], [1, 3], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 3], [1, 3], [1, 3], [1, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 4], [1, 3], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 4], [1, 3], [1, 3], [1, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 4], [1, 4], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 4], [1, 4], [1, 3], [1, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[1, 3], [1, 0], [1, 0], [1, 3], [1, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[1, 3], [1, 1], [1, 1], [1, 3], [1, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[1, 3], [1, 1], [1, 3], [1, 3], [1, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[1, 4], [1, 1], [1, 1], [1, 3], [1, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[1, 4], [1, 1], [1, 1], [1, 4], [1, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[1, 4], [1, 1], [1, 3], [1, 3], [1, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[1, 4], [1, 1], [1, 3], [1, 4], [1, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[1, 3], [1, 0], [1, 3], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[1, 3], [1, 1], [1, 3], [1, 1], [1, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[1, 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{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 4], [1, 4]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 1], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 4], [1, 4]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 4], [1, 0], [1, 4]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[1, 1], [1, 2], [1, 4], [1, 4]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[1, 1], [1, 4], [1, 4], [1, 4]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 1], [1, 2], [1, 4], [1, 4]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 1], [1, 4], [1, 4], [1, 4]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[1, 1], [1, 4], [1, 2], [1, 4]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[1, 1], [1, 4], [1, 4], [1, 4]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: 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&#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 0], [0, 1], [0, 2], [0, 4], [2, 0], [2, 1]], [[1, 3]]]}}, &#34;idx&#34;: 0}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;ReverseRule&#34;, &#34;original_rule&#34;: {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, 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{&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 0], [0, 2], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 2], [0, 1]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: 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{&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 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[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 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&#34;original_rule&#34;: {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], 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1], [0, 1]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, 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{&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]}}, &#34;idx&#34;: 1}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;ReverseRule&#34;, &#34;original_rule&#34;: 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[[0, 0], [0, 0], [0, 2], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 3], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 3], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 4], [0, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 3], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 3], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 3], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 3], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 3], [0, 1], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: 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&#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 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{&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 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&#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [1, 2], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 2], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 2], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 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{&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 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[]}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 0], [0, 1], [0, 4], [1, 0], [1, 1], [1, 3], [3, 0]], [[2, 2]]]}}, &#34;idx&#34;: 0}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;ReverseRule&#34;, &#34;original_rule&#34;: {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: 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{&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 2], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 2], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 1], [0, 1], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}]}}, &#34;idx&#34;: 0}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;ReverseRule&#34;, &#34;original_rule&#34;: {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 3], 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{&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 3], [1, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 3], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 3], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 3], [1, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 3], [1, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 0], [1, 3], [1, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 1], [1, 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3], [1, 0], [1, 3], [1, 1], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 3], [0, 4], [2, 0], [2, 2], [2, 3], [2, 4]], [[1, 1]]]}}, &#34;idx&#34;: 0}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;ReverseRule&#34;, &#34;original_rule&#34;: {&#34;class_module&#34;: 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&#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 0], [0, 1], [0, 3], [2, 0], [2, 1], [2, 2], [2, 4], [2, 6]], [[1, 5]]]}}, &#34;idx&#34;: 0}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;ReverseRule&#34;, &#34;original_rule&#34;: {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: 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{&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 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&#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]}}, &#34;idx&#34;: 0}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;ReverseRule&#34;, &#34;original_rule&#34;: {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, 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{&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [1, 0], [1, 3], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [1, 0], [1, 3], [1, 1], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[1, 3], [1, 0], [1, 3], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[1, 3], [1, 0], [1, 3], [1, 1], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, 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{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: 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1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 0], [2, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 0], [0, 1], [2, 0], [2, 1], [3, 0], [3, 2]], [[1, 3]]]}}, &#34;idx&#34;: 0}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;ReverseRule&#34;, &#34;original_rule&#34;: {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, 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[]}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 0], [0, 1], [0, 3], [2, 0], [2, 1], [2, 2]], [[1, 4]]]}}, &#34;idx&#34;: 0}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;ReverseRule&#34;, &#34;original_rule&#34;: {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: 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&#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}]}}, &#34;idx&#34;: 1}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;ReverseRule&#34;, &#34;original_rule&#34;: {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[1, 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{&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[1, 1], [1, 3], [1, 3], [1, 1]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[1, 1], [1, 3], [1, 3], [1, 1]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[1, 3], [1, 1], [1, 3], [1, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 2], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[0, 3], [1, 1], [1, 3], [1, 1]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[1, 3], [1, 1], [1, 3], [1, 1]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[0, 3], [1, 3], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 3], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [1, 3]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 3], [1, 3], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 3], [1, 3], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 3], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [1, 3]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 3], [1, 3], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 3], [1, 3], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [1, 3]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 0], [1, 3], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 1], [1, 3], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [1, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 3], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 3], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [1, 3]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 0], [1, 3], [1, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 1], [1, 3], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [1, 3]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 3], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 3], [1, 1], [1, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [1, 3]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [1, 0], [1, 0], [1, 3], [1, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [1, 0], [1, 1], [1, 3], [1, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[1, 3], [1, 0], [1, 0], [1, 3], [1, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[1, 3], [1, 0], [1, 1], [1, 3], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [1, 3]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [1, 0], [1, 3], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [1, 0], [1, 3], [1, 1], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[1, 3], [1, 0], [1, 3], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[1, 3], [1, 0], [1, 3], [1, 1], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[1, 1], [1, 3], [1, 3], [1, 1]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[1, 1], [1, 3], [1, 3], [1, 1]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[1, 3], [1, 1], [1, 3], [1, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[1, 3], [1, 1], [1, 3], [1, 1]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 3], [1, 3], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 3], [1, 3], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 3], [1, 3], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 3], [1, 3], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 0], [1, 3], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 1], [1, 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3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 1], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [2, 0], [2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [2, 0], [2, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[1, 2], [2, 0], [2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[1, 2], [2, 0], [2, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], 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&#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 4]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 4], [1, 3], [3, 0], [3, 2], [4, 0], [4, 2], [4, 5]], [[2, 1]]]}}, &#34;idx&#34;: 0}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;ReverseRule&#34;, &#34;original_rule&#34;: {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, 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&#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 3], [0, 1]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [0, 1]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [0, 1]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 3], [0, 1]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[0, 3], [0, 1], [0, 3], [0, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 3], [0, 3], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 1, 2, 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[0, 3], [0, 1], [0, 3], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 3], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 3], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 3], [0, 3], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 3], [0, 3], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 3], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 3], [0, 0], [0, 3], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 3], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 3], [0, 1], [0, 3], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 3], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 3], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 3], [0, 3], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 3], [0, 3], [0, 1], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 0], [0, 0], [0, 3], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 0], [0, 1], [0, 3], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 0], [0, 3], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 0], [0, 3], [0, 1], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: 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1]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], 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{&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 3], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 3], [1, 3], [1, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_placement&#34;, &#34;strategy_class&#34;: &#34;RequirementPlacementStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], &#34;indices&#34;: [0, 0], &#34;direction&#34;: 2, &#34;own_col&#34;: true, &#34;own_row&#34;: true, &#34;include_empty&#34;: true}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 2], [1, 3], [1, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 3], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 3], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 3], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 2], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 2], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], 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{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 3], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 3], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 3], [1, 3], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 3], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 3], [1, 3], [1, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 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0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 2], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 1], [0, 1], [0, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 1]], [[1, 0], [1, 2], [1, 3]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 3], [1, 3], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[1, 1], [1, 3], [1, 3], [1, 3], [1, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 3], [1, 3], [1, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[1, 1], [1, 3], [1, 3], [1, 3], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[1, 1], [1, 3], [1, 1], [1, 3], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[1, 1], [1, 3], [1, 3], [1, 3], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 1], [1, 3], [1, 3], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 1], [1, 3], [1, 3], [1, 3], [1, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 3], [1, 1], [1, 3], [1, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 3], [1, 3], [1, 3], [1, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 3], [1, 3], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 3], [1, 3], [1, 3], [1, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[1, 3], [1, 0], [1, 0], [1, 3], [1, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[1, 3], [1, 1], [1, 1], [1, 3], [1, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[1, 3], [1, 1], [1, 3], [1, 3], [1, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[1, 3], [1, 0], [1, 3], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[1, 3], [1, 1], [1, 3], [1, 1], [1, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[1, 3], [1, 1], [1, 3], [1, 3], [1, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 0], [0, 2], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 2], [0, 1]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 2]], [[1, 0], [1, 1], [1, 3]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, 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&#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 4], 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[1, 2], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 4], [1, 4], [1, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 4], [1, 4], [1, 4]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 1], [1, 4], [1, 2], [1, 4]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 1], [1, 4], [1, 4], [1, 4]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 2], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 4], [1, 4], [1, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 4], [1, 4], [1, 4]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[1, 4], [1, 4], [1, 4], [1, 4]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[1, 4], [1, 4], [1, 4], [1, 4]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[1, 4], [1, 4], [1, 4], [1, 4]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 4], [1, 4], [1, 4], [1, 4]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[1, 4], [1, 1], [1, 2], [1, 4]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[1, 4], [1, 1], [1, 4], [1, 4]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 4], [1, 1], [1, 4], [1, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 4], [1, 1], [1, 4], [1, 4]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[1, 4], [1, 4], [1, 4], [1, 4]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[1, 4], [1, 4], [1, 4], [1, 4]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 4], [1, 4], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 4], [1, 4], [1, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[1, 2], [1, 4], [1, 4], [1, 4], [1, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 4], [1, 4], [1, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 4], [1, 4], [1, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[1, 2], [1, 4], [1, 4], [1, 4], [1, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[1, 1], [1, 4], [1, 1], [1, 4], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[1, 2], [1, 4], [1, 2], [1, 4], [1, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[1, 2], [1, 4], [1, 4], [1, 4], [1, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 1], [1, 4], [1, 4], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 2], [1, 4], [1, 4], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 2], [1, 4], [1, 4], [1, 4], [1, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 4], [1, 1], [1, 4], [1, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[1, 2], [1, 4], [1, 2], [1, 4], [1, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[1, 2], [1, 4], [1, 4], [1, 4], [1, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 4], [1, 4], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[1, 2], [1, 4], [1, 4], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[1, 2], [1, 4], [1, 4], [1, 4], [1, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[1, 4], [1, 1], [1, 1], [1, 4], [1, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[1, 4], [1, 2], [1, 2], [1, 4], [1, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[1, 4], [1, 2], [1, 4], [1, 4], [1, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[1, 4], [1, 1], [1, 4], [1, 1], [1, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[1, 4], [1, 2], [1, 4], [1, 2], [1, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[1, 4], [1, 2], [1, 4], [1, 4], [1, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 3], [0, 0], [0, 3]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 1], [0, 2], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 1], [0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 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{&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 1], [0, 2], [0, 3]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 1], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 3], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 3], [0, 3], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 3], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 3], [0, 3], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 3], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1], [0, 3], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1], [0, 3], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 3], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 1], [0, 3], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 3], [0, 3], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 3], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 3], [0, 3], [0, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 3]], [[1, 0], [1, 1], [1, 2], [1, 4]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 1], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 3], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 3], [0, 3], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 3], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 3], [0, 3], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 3], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1], [0, 3], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 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[[0, 1], [0, 3], [0, 3], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 1], [0, 3], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 3], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 1], [0, 3], [1, 0]], [[2, 2]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: 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{&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[1, 3], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[1, 3], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 2], [1, 3], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2], [1, 3], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 3], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 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[0, 4, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 2], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[1, 2], [1, 0], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[1, 2], [1, 0], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[1, 3], [1, 0], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[1, 3], [1, 0], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[1, 2], [1, 0], [1, 2], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[1, 2], [1, 0], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[1, 3], [1, 0], [1, 2], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[1, 3], [1, 0], [1, 2], [1, 2], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 0], 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1]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 2], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 2], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 2], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 2], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 2], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 2], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 2], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], 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1], [1, 1], [1, 1], [1, 1], [1, 1]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 3], [0, 4], [1, 0], [1, 2]], [[2, 1]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, 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{&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 4], [0, 3], [0, 3], [0, 4], [0, 3]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 4], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 4], [1, 0], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 4], [1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[1, 2], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[1, 2], [1, 0], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [1, 0], [1, 2], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 3], [0, 4], [0, 3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 4], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 4], [1, 0], [1, 2], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 4], [1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[1, 2], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[1, 2], [1, 0], 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[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], 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{&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [1, 0], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 2], [0, 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[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [1, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [1, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 3], [0, 4], [1, 0], [1, 2]], [[2, 1]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: 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0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 3], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 3], [0, 2], [0, 1]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 0], [0, 2], [0, 3], [0, 4], [1, 0], [1, 2]], [[2, 1]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 4], [0, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 3], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 3], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 3], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 3], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 3], [0, 1], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], 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[0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 2], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 2], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 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{&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 1], [0, 1], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 0], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 0], [1, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 0], [0, 1], [1, 0], [1, 2]], [[2, 3]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1]]}, 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[[0, 0], [0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 2], [2, 2]]}, 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0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 3], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 0], [0, 1], [0, 1], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, 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0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 3], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_placement&#34;, &#34;strategy_class&#34;: &#34;RequirementPlacementStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], &#34;indices&#34;: [0, 0], &#34;direction&#34;: 0, &#34;own_col&#34;: true, &#34;own_row&#34;: true, &#34;include_empty&#34;: true}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, 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1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [], &#34;pos&#34;: []}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 3], [1, 2]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 3, 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[0, 2, 3, 4, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2], [1, 3], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 3], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 3], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 0], [1, 3], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2], [1, 3], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 3], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 3], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 2], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[1, 2], [1, 0], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[1, 2], [1, 0], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[1, 3], [1, 0], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[1, 3], [1, 0], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[1, 2], [1, 0], [1, 2], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[1, 2], [1, 0], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[1, 3], [1, 0], [1, 2], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[1, 3], [1, 0], [1, 2], [1, 2], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 3], [1, 3], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[1, 1], [1, 3], [1, 3], [1, 3], [1, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 3], [1, 3], [1, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[1, 1], [1, 3], [1, 3], [1, 3], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[1, 1], [1, 3], [1, 1], [1, 3], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[1, 1], [1, 3], [1, 3], [1, 3], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 1], [1, 3], [1, 3], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 1], [1, 3], [1, 3], [1, 3], [1, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 3], [1, 1], [1, 3], [1, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 3], [1, 3], [1, 3], [1, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 3], [1, 3], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 3], [1, 3], [1, 3], [1, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[1, 3], [1, 0], [1, 0], [1, 3], [1, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[1, 3], [1, 1], [1, 1], [1, 3], [1, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[1, 3], [1, 1], [1, 3], [1, 3], [1, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[1, 3], [1, 0], [1, 3], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[1, 3], [1, 1], [1, 3], [1, 1], [1, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[1, 3], [1, 1], [1, 3], [1, 3], [1, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_placement&#34;, &#34;strategy_class&#34;: &#34;RequirementPlacementStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], &#34;indices&#34;: [0, 0], &#34;direction&#34;: 2, &#34;own_col&#34;: true, &#34;own_row&#34;: true, &#34;include_empty&#34;: true}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: 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&#34;pos&#34;: [[0, 3], [0, 2], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [1, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], 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{&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [1, 0], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 0], [1, 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{&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [1, 3]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [1, 3]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 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3], [0, 3], [0, 3], [0, 3], [1, 3]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [1, 0], [1, 3], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [1, 0], [1, 3], [1, 1], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: 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[1, 4], [1, 3], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 1], [1, 4], [1, 4], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 1], [1, 4], [1, 4], [1, 3], [1, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 3], [1, 1], [1, 3], [1, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 3], [1, 3], [1, 3], [1, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 4], [1, 1], [1, 3], [1, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 4], [1, 1], [1, 4], [1, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 4], [1, 3], [1, 3], [1, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 4], [1, 3], [1, 4], [1, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 3], [1, 3], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 3], [1, 3], [1, 3], [1, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 4], [1, 3], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 4], [1, 3], [1, 3], [1, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 4], [1, 4], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 4], [1, 4], [1, 3], [1, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[1, 3], [1, 0], [1, 0], [1, 3], [1, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[1, 3], [1, 1], [1, 1], [1, 3], [1, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[1, 3], [1, 1], [1, 3], [1, 3], [1, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[1, 4], [1, 1], [1, 1], [1, 3], [1, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[1, 4], [1, 1], [1, 1], [1, 4], [1, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[1, 4], [1, 1], [1, 3], [1, 3], [1, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[1, 4], [1, 1], [1, 3], [1, 4], [1, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[1, 3], [1, 0], [1, 3], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[1, 3], [1, 1], [1, 3], [1, 1], [1, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[1, 3], [1, 1], [1, 3], [1, 3], [1, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[1, 4], [1, 1], [1, 3], [1, 1], [1, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[1, 4], [1, 1], [1, 3], [1, 3], [1, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[1, 4], [1, 1], [1, 4], [1, 1], [1, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[1, 4], [1, 1], [1, 4], [1, 3], [1, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 4], [1, 4]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 1], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 4], [1, 4]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 4], [1, 0], [1, 4]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[1, 1], [1, 2], [1, 4], [1, 4]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[1, 1], [1, 4], [1, 4], [1, 4]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 1], [1, 2], [1, 4], [1, 4]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 1], [1, 4], [1, 4], [1, 4]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[1, 1], [1, 4], [1, 2], [1, 4]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[1, 1], [1, 4], [1, 4], [1, 4]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 2], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 4], [1, 4], [1, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 4], [1, 4], [1, 4]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 1], [1, 4], [1, 2], [1, 4]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 1], [1, 4], [1, 4], [1, 4]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 2], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 4], [1, 4], [1, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 4], [1, 4], [1, 4]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[1, 4], [1, 4], [1, 4], [1, 4]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[1, 4], [1, 4], [1, 4], [1, 4]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[1, 4], [1, 4], [1, 4], [1, 4]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 4], [1, 4], [1, 4], [1, 4]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[1, 4], [1, 1], [1, 2], [1, 4]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[1, 4], [1, 1], [1, 4], [1, 4]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 4], [1, 1], [1, 4], [1, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 4], [1, 1], [1, 4], [1, 4]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[1, 4], [1, 4], [1, 4], [1, 4]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[1, 4], [1, 4], [1, 4], [1, 4]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 4], [1, 4], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 4], [1, 4], [1, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[1, 2], [1, 4], [1, 4], [1, 4], [1, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 4], [1, 4], [1, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 4], [1, 4], [1, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[1, 2], [1, 4], [1, 4], [1, 4], [1, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[1, 1], [1, 4], [1, 1], [1, 4], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[1, 2], [1, 4], [1, 2], [1, 4], [1, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[1, 2], [1, 4], [1, 4], [1, 4], [1, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 1], [1, 4], [1, 4], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 2], [1, 4], [1, 4], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 2], [1, 4], [1, 4], [1, 4], [1, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 4], [1, 1], [1, 4], [1, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[1, 2], [1, 4], [1, 2], [1, 4], [1, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[1, 2], [1, 4], [1, 4], [1, 4], [1, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 4], [1, 4], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[1, 2], [1, 4], [1, 4], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[1, 2], [1, 4], [1, 4], [1, 4], [1, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[1, 4], [1, 1], [1, 1], [1, 4], [1, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[1, 4], [1, 2], [1, 2], [1, 4], [1, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[1, 4], [1, 2], [1, 4], [1, 4], [1, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[1, 4], [1, 1], [1, 4], [1, 1], [1, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[1, 4], [1, 2], [1, 4], [1, 2], [1, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[1, 4], [1, 2], [1, 4], [1, 4], [1, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_placement&#34;, &#34;strategy_class&#34;: &#34;RequirementPlacementStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}], &#34;indices&#34;: [0, 0, 0], &#34;direction&#34;: 2, &#34;own_col&#34;: true, &#34;own_row&#34;: true, &#34;include_empty&#34;: true}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 4]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 3], [1, 4]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 4], [1, 4]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 4], [1, 4], [1, 4]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 4], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 4], [1, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 4], [1, 4]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 4], [1, 4], [1, 4]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[1, 4], [1, 4], [1, 4]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 4], [1, 4], [1, 4]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 4], [1, 0], [1, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 4], [1, 0], [1, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 4], [1, 0], [1, 4]]}, 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3], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [1, 3]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [1, 0], [1, 3], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[1, 3], [1, 0], [1, 3], [1, 0], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 0], [0, 1], [0, 3], [0, 4], [2, 0], [2, 4]], [[1, 2]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [1, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 2], 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[[1, 3]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 3]], [[1, 2], [1, 4], [2, 0], [2, 1], [2, 2], [2, 4]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 2], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 2], [1, 3], [1, 3]]}, 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&#34;pos&#34;: [[1, 0], [1, 2], [1, 2], [1, 3], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 3], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 3], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 0], [1, 3], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2], [1, 3], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 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{&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[1, 2], [1, 0], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[1, 3], [1, 0], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[1, 3], [1, 0], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[1, 2], [1, 0], [1, 2], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[1, 2], [1, 0], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[1, 3], [1, 0], [1, 2], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[1, 3], [1, 0], [1, 2], [1, 2], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 3], [1, 0], [1, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 3], [1, 3], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[1, 1], [1, 3], [1, 3], [1, 3], [1, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 3], [1, 3], [1, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[1, 1], [1, 3], [1, 3], [1, 3], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[1, 1], [1, 3], [1, 1], [1, 3], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[1, 1], [1, 3], [1, 3], [1, 3], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 1], [1, 3], [1, 3], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 1], [1, 3], [1, 3], [1, 3], [1, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 3], [1, 1], [1, 3], [1, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 3], [1, 3], [1, 3], [1, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 3], [1, 3], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 3], [1, 3], [1, 3], [1, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[1, 3], [1, 1], [1, 1], [1, 3], [1, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[1, 3], [1, 1], [1, 3], [1, 3], [1, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[1, 3], [1, 1], [1, 3], [1, 1], [1, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[1, 3], [1, 1], [1, 3], [1, 3], [1, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_placement&#34;, &#34;strategy_class&#34;: &#34;RequirementPlacementStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], &#34;indices&#34;: [0, 0], &#34;direction&#34;: 2, &#34;own_col&#34;: true, &#34;own_row&#34;: true, &#34;include_empty&#34;: true}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 2], 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{&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 3], [1, 3], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[1, 1], [1, 3], [1, 3], [1, 3], [1, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 3], [1, 3], [1, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[1, 1], [1, 3], [1, 3], [1, 3], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[1, 1], [1, 3], [1, 1], [1, 3], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[1, 1], [1, 3], [1, 3], [1, 3], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 1], [1, 3], [1, 3], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 1], [1, 3], [1, 3], [1, 3], [1, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 3], [1, 1], [1, 3], [1, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 3], [1, 3], [1, 3], [1, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 3], [1, 3], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 3], [1, 3], [1, 3], [1, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[1, 3], [1, 1], [1, 1], [1, 3], [1, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[1, 3], [1, 1], [1, 3], [1, 3], [1, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[1, 3], [1, 1], [1, 3], [1, 1], [1, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[1, 3], [1, 1], [1, 3], [1, 3], [1, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 2], [0, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 2]], [[1, 0], [1, 1], [1, 3]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [1, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [2, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 3], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 3], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [1, 3], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 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&#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 1], [1, 0], [2, 0]], [[3, 2]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 1]], [[1, 0], [2, 0]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 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[4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: 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1], [1, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[1, 3], [1, 1], [1, 2], [1, 2], [1, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[1, 5], [1, 0], [1, 2], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[1, 5], [1, 1], [1, 2], [1, 1], [1, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[1, 5], [1, 1], [1, 2], [1, 2], [1, 1]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 0], 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1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 2], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 2], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 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&#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 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[0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 3], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 3], [0, 2], [0, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 0], [0, 2], [0, 3], [0, 4], [1, 0], [1, 2]], [[2, 1]]]}}, {&#34;class_module&#34;: 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&#34;requirements&#34;: [], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 1]], [[1, 0], [2, 0]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 2], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 2], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 1], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}]], &#34;assumptions&#34;: []}, 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[[1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 4], [2, 4]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], 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{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 4], [0, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 4], [1, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 0], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 0], [0, 1], [0, 5], [2, 0], [2, 2], [2, 4]], [[1, 3]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 3], [1, 3]]}, 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2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 0], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0, 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[0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 0], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 0], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, 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3, 2, 1], &#34;pos&#34;: [[0, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 0], [2, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 0], [0, 1], [1, 0], [1, 1], [3, 0], [3, 2]], [[2, 3]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [], &#34;pos&#34;: []}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 3], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 2], [1, 3], [1, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 3], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 3], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 3], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_placement&#34;, &#34;strategy_class&#34;: &#34;RequirementPlacementStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], &#34;indices&#34;: [0, 0], &#34;direction&#34;: 2, &#34;own_col&#34;: true, &#34;own_row&#34;: true, &#34;include_empty&#34;: true}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 3], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 2], [1, 3], [1, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 3], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 3], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 3], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 2], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 2], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 1]], [[1, 0], [1, 2], [1, 3], [2, 0]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], 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[1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [1, 2], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [1, 2], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 1], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 1]], [[1, 0], [1, 2], [2, 0], [2, 2], [2, 3]]]}}, {&#34;class_module&#34;: 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0], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [1, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 1], [1, 1], [1, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, 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0], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 2], [0, 3]], [[1, 0], [1, 1], [2, 0], [2, 1]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [2, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [2, 1], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [2, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 2]], [[1, 0], [1, 1], [2, 0], [2, 1]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 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&#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 1], [0, 2], [0, 4]], [[1, 0], [2, 0], [4, 0]], [[3, 3]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 3], [0, 4]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 4], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 3], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 4], [0, 4], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 3], [0, 4], [0, 4], [0, 4], [0, 3]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 4], [0, 4], [0, 3]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 3], [0, 4], [0, 4], [0, 4], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 3], [0, 4], [0, 3], [0, 4], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 3], [0, 4], [0, 4], [0, 4], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 4], [0, 4], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 4], [0, 4], [0, 4], [0, 3]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 4], [0, 3], [0, 4], [0, 3]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 4], [0, 4], [0, 4], [0, 3]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 4], [0, 4], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 4], [0, 4], [0, 4], [0, 3]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 4], [0, 1], [0, 1], [0, 4], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 4], [0, 3], [0, 3], [0, 4], [0, 3]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 4], [0, 3], [0, 4], [0, 4], [0, 3]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 1], [0, 4], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 3], [0, 4], [0, 3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 3], [0, 4], [0, 4], [0, 3]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 0], [0, 2], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 2], [0, 1]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 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&#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 1], [0, 3], [0, 4]], [[1, 0], [2, 0], [4, 0]], [[3, 2]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 2], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], 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{&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 2], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 2], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 2], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 2], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 2], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 2], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 2], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 1], [0, 1], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 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[0, 2], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 1], [0, 1], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 0], [0, 1], [0, 3], [1, 1]], [[2, 2]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 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&#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 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[0, 1], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, 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4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 2], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 3]], [[1, 0], [1, 1], [1, 2]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 2], [0, 1]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1], [0, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 1], [0, 2]], [[1, 0], [2, 0]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 2], [1, 2], [2, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 2], [2, 3], [2, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 2], [2, 3], [2, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 2], [1, 2], [2, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 3], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 2], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 3], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 2], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 2], [2, 3], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 3], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [2, 2], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [2, 2], [2, 3], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [2, 2], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [2, 2], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [2, 3], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [2, 3], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 2], [2, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [1, 2], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 2], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 2], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [1, 1], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [1, 2], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [1, 2], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 1]], [[1, 0], [1, 2], [2, 0], [2, 2], [2, 3]]]}}, {&#34;class_module&#34;: 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{&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 3], [0, 3], [1, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 3], [1, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 3], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 3], [0, 3], [1, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 3], [1, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 3], [1, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 3], [1, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 3], [1, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 3], [1, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 3], [1, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 3], [1, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 2], [0, 3], [1, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 3], [0, 3], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 3], [0, 3], [1, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 3], [0, 2], [1, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 3], [0, 3], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 3], [0, 3], [1, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [4, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 4], [0, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 3], [0, 4], [0, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 4], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 4], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 4], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 4], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 4], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0], [4, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 2], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 2], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 1], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 2], [0, 3], [0, 4]], [[1, 0], [2, 0], [4, 0]], [[3, 1]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], 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{&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 3], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 3], [0, 3], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 3], [0, 3], [0, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0]]}, 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[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[0, 3], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 3], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 3], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 3], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 3], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 3], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 3], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 3], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 3], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 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[[0, 2], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 2], [0, 2], [0, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 0], [0, 2], [0, 3], [0, 4], [1, 0], [1, 2]], [[2, 1]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: 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[0, 1], [0, 2], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 2], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 2], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 2], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 1], [0, 1], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 2]], [[1, 0], [1, 1], [1, 3]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 4], [3, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 4], [3, 4]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 2], [2, 2], [3, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 2], [3, 4], [3, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 2], [3, 4], [3, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 3], [2, 2], [3, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 3], [3, 2], [3, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 2], [2, 2], [3, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 4], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 2], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [3, 2], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [3, 4], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 2], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 2], [3, 2], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 2], [3, 4], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [3, 0], [3, 2], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [3, 0], [3, 4], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [3, 2], [3, 2], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [3, 2], [3, 4], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 2], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[3, 0], [3, 2], [3, 2], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 2], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 2], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 2], [3, 2], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [3, 2], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [3, 2], [3, 2], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [3, 4], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [3, 4], [3, 2], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[3, 0], [3, 2], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[3, 0], [3, 2], [3, 2], [3, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [2, 0], [2, 2], [3, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [2, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [2, 0], [3, 2], [3, 0]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[0, 3], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[0, 3], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 2], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 2], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 2], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 2], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 2], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 2], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 2], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 2], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 2], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 2], [2, 2], [2, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [2, 0], [2, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [2, 0], [2, 2], [2, 2], [2, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[2, 2], [2, 0], [2, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[2, 2], [2, 0], [2, 2], [2, 2], [2, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [2, 0], [2, 2], [2, 0], [2, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [2, 0], [2, 2], [2, 2], [2, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[2, 2], [2, 0], [2, 2], [2, 0], [2, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[2, 2], [2, 0], [2, 2], [2, 2], [2, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 4]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [2, 3], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 1], [2, 3], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [1, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 3], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 3], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 1], [2, 3], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 3], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [2, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [2, 1], [2, 3], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [2, 1], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [2, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [2, 3], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [2, 3], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 0], [1, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[0, 2], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[0, 2], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [1, 0], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [1, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 1], [1, 1], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 3], [2, 0], [2, 2], [3, 0], [3, 2], [3, 4]], [[1, 1]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: 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&#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 0], [0, 1], [0, 1], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: 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{&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 2], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 2], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 2], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 2], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 2], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 2], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 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[0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 1], [0, 1], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 0], [0, 1], [0, 3], [1, 0], [1, 1], [3, 0]], [[2, 2]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [0, 3]]}, 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&#34;pos&#34;: [[1, 0], [1, 2], [1, 0], [1, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], 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[0, 1], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1], [0, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 1], [0, 2]], [[1, 0]]]}}, 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{&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 6], [0, 4], [0, 4], [0, 6], [0, 4]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 6], [0, 4], [0, 5], [0, 5], [0, 4]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 6], [0, 4], [0, 5], [0, 6], [0, 4]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 5], [0, 3], [0, 5], [0, 3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 5], [0, 4], [0, 5], [0, 4], [0, 4]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 5], [0, 4], [0, 5], [0, 5], [0, 4]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 6], [0, 4], [0, 5], [0, 4], [0, 4]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 6], [0, 4], [0, 5], [0, 5], [0, 4]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 6], [0, 4], [0, 6], [0, 4], [0, 4]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 6], [0, 4], [0, 6], [0, 5], [0, 4]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 3], [0, 5], [0, 6], [0, 7], [1, 0], [1, 1], [1, 9], [3, 0], [3, 2], [3, 8]], [[2, 4]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, 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{&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 6], [0, 4], [0, 5], [0, 5], [0, 4]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 6], [0, 4], [0, 5], [0, 6], [0, 4]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 5], [0, 3], [0, 5], [0, 3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 5], [0, 4], [0, 5], [0, 4], [0, 4]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 5], [0, 4], [0, 5], [0, 5], [0, 4]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 6], [0, 4], [0, 5], [0, 4], [0, 4]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 6], [0, 4], [0, 5], [0, 5], [0, 4]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 6], [0, 4], [0, 6], [0, 4], [0, 4]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 6], [0, 4], [0, 6], [0, 5], [0, 4]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, 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{&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 4], [0, 5]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 4], [0, 6]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 5], [0, 6]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 6], [0, 6]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 6], [0, 6], [0, 6]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 5], [0, 4]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 6], [0, 4]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 6], [0, 5]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 6], [0, 6]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 6], [0, 6], [0, 6]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 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3, 1, 0], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 1], [0, 2], [0, 3]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 1], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 3], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 3], [0, 3], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 3], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 3], [0, 3], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 3], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1], [0, 3], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1], [0, 3], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 3], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 1], [0, 3], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 3], [0, 3], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 3], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 3], [0, 3], [0, 2]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 0], [1, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 3], [0, 4], [0, 5], [0, 6]], [[1, 0], [1, 1], [2, 0], [2, 2], [2, 7]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 7]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 6]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 7]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 6]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 7], [2, 7]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 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3], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 3], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 3], [0, 2], [0, 1]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 0], [1, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 3], [0, 4], [0, 5], [0, 6]], [[1, 0], [1, 1], [2, 0], [2, 2], [2, 7]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, 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&#34;pos&#34;: [[3, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 6]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 7]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 7], [2, 7]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 7], [2, 7]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 4], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 4], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [3, 2], [3, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 4], [0, 5], [0, 6], [0, 6]]}, 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0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 0], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 4], [0, 5], [0, 6]], [[1, 3]], [[2, 0], [2, 1], [2, 7], [3, 0], [3, 2]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, 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0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 0], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 4], [0, 5], [0, 6]], [[1, 3]], [[2, 0], [2, 1], [2, 7], [3, 0], [3, 2]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, 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1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 2], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 3], [0, 4]], [[1, 0], [1, 1], [1, 2]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [1, 2], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 2], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 2], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [1, 1], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [1, 2], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [1, 2], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 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&#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 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&#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [2, 1], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], 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1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 0], [0, 1], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 2], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], 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{&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 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&#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 0], [1, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 3], [0, 4]], [[1, 0], [1, 1], [2, 0], [2, 2]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [2, 1], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 2]], [[1, 0], [2, 0], [2, 1]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: 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[1, 1], [1, 2], [1, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [1, 0], [1, 1], [1, 3], [1, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[1, 2], [1, 0], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[1, 2], [1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[1, 3], [1, 0], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[1, 3], [1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [1, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 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3], [0, 3], [0, 3], [0, 3], [2, 3]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [2, 0], [2, 3], [2, 0], [2, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 1], [0, 3], [0, 4], [1, 0], [3, 0], [3, 4]], [[2, 2]]]}}, 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[]}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 3], [0, 5], [1, 1], [1, 2], [2, 0], [4, 0]], [[3, 4]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [2, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 3], [2, 3]]}, 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{&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [1, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 1], [1, 1], [1, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [2, 1]]}, {&#34;patt&#34;: [1, 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[0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 2], [0, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 1], [0, 2], [1, 0], [3, 0], [3, 1], [3, 2], [3, 3], [3, 5]], [[2, 4]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, 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[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 2], [0, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, 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[[0, 2], [0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 2], [0, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [2, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [2, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [2, 2]]}, 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[0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 2], [0, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}]}}, 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{&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [2, 2], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [2, 2], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [2, 1], [2, 2], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [2, 2], [2, 2], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 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{&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 2], [0, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: 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&#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 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3], [0, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], 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1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 0], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 3]], [[1, 0], [1, 1], [1, 4], [2, 0], [2, 2]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [3, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [3, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [3, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [3, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [3, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [3, 2], [3, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [3, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [3, 2], [3, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [3, 1], [3, 2], [3, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [3, 2], [3, 2], [3, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[3, 1], [3, 1], [3, 2], [3, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[3, 1], [3, 2], [3, 2], [3, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [3, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [3, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [3, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [3, 2], [3, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [3, 2], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [3, 2], [3, 2], [3, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [4, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[3, 1], [3, 2], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[3, 1], [3, 2], [3, 2], [3, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 2], [0, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [2, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [2, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [2, 2], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [2, 2], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [2, 1], [2, 2], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [2, 2], [2, 2], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 2], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 1], [2, 2], [2, 2], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [2, 2], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [2, 2], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [2, 2], [2, 2], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 1], [2, 2], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 1], [2, 2], [2, 2], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 2], [0, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 1], [0, 2], [1, 0], [3, 1], [3, 2], [4, 0]], [[2, 3]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 2]]}, {&#34;patt&#34;: [0, 1, 2], 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&#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 4], [3, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 4], [3, 4]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [3, 4], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [3, 0], [3, 4], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [3, 4], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 3], [1, 3], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[1, 1], [1, 3], [1, 3], [1, 3], [1, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 3], [1, 3], [1, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[1, 1], [1, 3], [1, 3], [1, 3], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[1, 1], [1, 3], [1, 1], [1, 3], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[1, 1], [1, 3], [1, 3], [1, 3], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 1], [1, 3], [1, 3], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 1], [1, 3], [1, 3], [1, 3], [1, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 3], [1, 1], [1, 3], [1, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 3], [1, 3], [1, 3], [1, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 3], [1, 3], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 3], [1, 3], [1, 3], [1, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[1, 3], [1, 1], [1, 1], [1, 3], [1, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[1, 3], [1, 1], [1, 3], [1, 3], [1, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[1, 3], [1, 1], [1, 3], [1, 1], [1, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[1, 3], [1, 1], [1, 3], [1, 3], [1, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 4]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1], [0, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 2]], [[1, 1], [1, 3]], [[2, 0], [3, 0], [3, 4]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 5]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 3], [2, 5]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 5], [2, 5]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 4], [2, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 5], [2, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 5], [2, 5]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 2], [2, 2], [3, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 2], [2, 3], [3, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 2], [2, 5], [3, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 4], [2, 2], [3, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 2], [2, 2], [3, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 3], [2, 2], [3, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 5], [2, 2], [3, 2]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 3], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 3], [0, 4], [0, 4], [2, 5]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 3], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 3], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 3], [0, 4], [0, 4], [2, 5]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, 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2], [2, 0], [2, 2], [2, 2], [2, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[2, 3], [2, 0], [2, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[2, 3], [2, 0], [2, 2], [2, 2], [2, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[2, 5], [2, 0], [2, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[2, 5], [2, 0], [2, 2], [2, 2], [2, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [2, 3]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [2, 0], [2, 2], [2, 0], [2, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [2, 0], [2, 2], [2, 2], [2, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [2, 0], [2, 3], [2, 0], [2, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [2, 0], [2, 3], [2, 2], [2, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 3], [0, 4], [0, 3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 4], [2, 0], [2, 2], [2, 0], [2, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 4], [2, 0], [2, 2], [2, 2], [2, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[2, 2], [2, 0], [2, 2], [2, 0], [2, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[2, 2], [2, 0], [2, 2], [2, 2], [2, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[2, 3], [2, 0], [2, 2], [2, 0], [2, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[2, 3], [2, 0], [2, 2], [2, 2], [2, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[2, 5], [2, 0], [2, 2], [2, 0], [2, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[2, 5], [2, 0], [2, 2], [2, 2], [2, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 5]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 2], [1, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 4], [1, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 4], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 4], [1, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 2], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 4], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 3], [1, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 2], [1, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 4], [1, 1], [2, 1]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [1, 4]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1, 3], 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1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [2, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 4], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 4], [1, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 4], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 4], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 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[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 1], [1, 2], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 1], [1, 4], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 2], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [1, 0], [1, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [1, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 4], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 4], [1, 0], [1, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 4], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 4], [1, 0], [2, 1], [2, 0]]}, 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1], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [1, 0], [1, 2], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [1, 0], [1, 2], [1, 1], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [1, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[1, 2], [1, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[1, 2], [1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[1, 4], [1, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[1, 4], [1, 0], [1, 1], [1, 1], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 3], [0, 4], [2, 0], [2, 2], [2, 3], [2, 5], [3, 0], [3, 2]], [[1, 1]]]}}, 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[0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 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[0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 0], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 3], [0, 4]], [[1, 0], [1, 1], [1, 5], [2, 0], [2, 2]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 3, 1], 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{&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 2], [0, 4], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 4], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: 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[[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 2], [0, 4], [1, 1]], [[2, 3]], [[3, 0]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: 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{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 6], [0, 6]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 6], [1, 8]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 8], [1, 8]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 7], [2, 7]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 5], [0, 5]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 6], [0, 5]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 6], [0, 6]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 8], [1, 8]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 8], [2, 7]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 7], [2, 7]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, 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{&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 5], [0, 3], [0, 4], [0, 3]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 5], [0, 4], [0, 4], [0, 3]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 6], [0, 3], [0, 4], [0, 3]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 6], [0, 4], [0, 4], [0, 3]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 4], [0, 4], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 4], [0, 4], [0, 4], [0, 3]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 5], [0, 4], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 5], [0, 4], [0, 4], [0, 3]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 6], [0, 4], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 6], [0, 4], [0, 4], [0, 3]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 4], [0, 3], [0, 3], [0, 4], [0, 3]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 4], [0, 3], [0, 4], [0, 4], [0, 3]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 5], [0, 3], [0, 3], [0, 4], [0, 3]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 5], [0, 3], [0, 4], [0, 4], [0, 3]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 6], [0, 3], [0, 3], [0, 4], [0, 3]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 6], [0, 3], [0, 4], [0, 4], [0, 3]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 3], [0, 4], [0, 3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 3], [0, 4], [0, 4], [0, 3]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 5], [0, 3], [0, 4], [0, 3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 5], [0, 3], [0, 4], [0, 4], [0, 3]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 6], [0, 3], [0, 4], [0, 3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 6], [0, 3], [0, 4], [0, 4], [0, 3]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 3], [0, 4], [0, 6], [0, 7], [1, 0], [1, 1], [1, 9], [3, 0], [3, 2], [3, 8]], [[2, 5]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], 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[2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 4], [0, 4], [0, 5], [0, 4]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 4], [0, 4], [0, 6], [0, 4]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[0, 4], [0, 5], [0, 4], [0, 4]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[0, 4], [0, 6], [0, 4], [0, 4]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[0, 4], [0, 4], [0, 5], [0, 4]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[0, 4], [0, 4], [0, 6], [0, 4]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 4], [0, 5], [0, 4], [0, 4]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 4], [0, 6], [0, 4], [0, 4]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[0, 5], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[0, 6], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[0, 5], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[0, 6], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 4], [0, 4], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 4], [0, 5], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 4], [0, 6], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 3], [0, 4], [0, 4], [0, 4], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 3], [0, 4], [0, 4], [0, 5], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 3], [0, 4], [0, 4], [0, 6], [0, 3]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 4], [0, 4], [0, 3]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 5], [0, 4], [0, 3]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 6], [0, 4], [0, 3]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 3], [0, 4], [0, 4], [0, 4], [0, 3]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 3], [0, 4], [0, 5], [0, 4], [0, 3]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 3], [0, 4], [0, 6], [0, 4], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 3], [0, 4], [0, 3], [0, 4], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 3], [0, 4], [0, 3], [0, 5], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 3], [0, 4], [0, 3], [0, 6], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 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&#34;pos&#34;: [[0, 3], [0, 5], [0, 3], [0, 4], [0, 3]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 5], [0, 4], [0, 4], [0, 3]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 6], [0, 3], [0, 4], [0, 3]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 6], [0, 4], [0, 4], [0, 3]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 4], [0, 4], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 4], [0, 4], [0, 4], [0, 3]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 5], [0, 4], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 5], [0, 4], [0, 4], [0, 3]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 6], [0, 4], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 6], [0, 4], [0, 4], [0, 3]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 4], [0, 3], [0, 3], [0, 4], [0, 3]]}, {&#34;patt&#34;: [4, 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&#34;requirements&#34;: [], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 7]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 6]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 7]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 6]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 1], 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&#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 0], [1, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 3], [0, 4], [0, 5], [0, 6]], [[1, 0], [1, 1], [2, 0], [2, 2], [2, 7]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 5]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: 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{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 0], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, 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{&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [1, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 3], [0, 4], [1, 1], [1, 2]], [[2, 5]], [[3, 0]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: 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&#34;pos&#34;: [[1, 5], [2, 0], [2, 5], [2, 0], [2, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[1, 5], [2, 0], [2, 5], [2, 1], [2, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[2, 5], [2, 0], [2, 5], [2, 0], [2, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[2, 5], [2, 0], [2, 5], [2, 1], [2, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 2], [2, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 4], [0, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 3], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 2], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 2], [2, 5], [2, 5]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 3], [2, 5], [2, 5]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 5], [2, 5], [2, 5]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 2], [1, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 2], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 2], [1, 3], [2, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 2], [2, 5], [2, 5]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 3], [2, 5], [2, 5]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 5], [2, 5], [2, 5]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[2, 5], [2, 2], [2, 5]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[2, 5], [2, 3], [2, 5]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[2, 5], [2, 5], [2, 5]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 1], [2, 2], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 1], [2, 3], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 5], [2, 5], [2, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 5], [2, 5], [2, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 5], [2, 5], [2, 5]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 5], [2, 2], [2, 5]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 5], [2, 3], [2, 5]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 5], [2, 5], [2, 5]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 5], [2, 2], [2, 5]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 5], [2, 3], [2, 5]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 5], [2, 5], [2, 5]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 5], [2, 5], [2, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 5], [2, 5], [2, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 5], [2, 5], [2, 5]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 2], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 3], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 5], [2, 5], [2, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 5], [2, 5], [2, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 5], [2, 5], [2, 5]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[1, 2], [1, 3], [1, 5], [1, 5]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[1, 2], [1, 5], [1, 5], [1, 5]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 2], [1, 3], [1, 5], [1, 5]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 2], [1, 5], [1, 5], [1, 5]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[1, 2], [1, 5], [1, 3], [1, 5]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[1, 2], [1, 5], [1, 5], [1, 5]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 3], [1, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 2], [1, 5], [1, 5], [1, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 2], [1, 5], [1, 5], [1, 5]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 2], [1, 5], [1, 5], [2, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 2], [1, 5], [2, 5], [2, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [2, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 3], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 3], [2, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 2], [1, 5], [1, 3], [1, 5]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 2], [1, 5], [1, 5], [1, 5]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 2], [1, 3], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 2], [1, 5], [1, 5], [1, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 2], [1, 5], [1, 5], [1, 5]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 2], [1, 5], [1, 5], [2, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [2, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 3], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 3], [2, 1], [2, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[1, 5], [1, 5], [1, 5], [1, 5]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[1, 5], [1, 5], [1, 5], [2, 5]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[1, 5], [1, 5], [2, 5], [2, 5]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[2, 1], [2, 5], [2, 5], [2, 1]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[1, 5], [1, 5], [1, 5], [1, 5]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[1, 5], [1, 5], [1, 5], [2, 5]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[2, 1], [2, 5], [2, 5], [2, 1]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[1, 5], [1, 5], [1, 5], [1, 5]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[1, 5], [1, 5], [1, 5], [2, 5]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[1, 5], [1, 5], [2, 5], [2, 5]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[2, 5], [2, 1], [2, 5], [2, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 5], [1, 5], [1, 5], [1, 5]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 5], [1, 5], [1, 5], [2, 5]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 5], [2, 5], [2, 1], [2, 1]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[1, 5], [1, 2], [1, 3], [1, 5]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[1, 5], [1, 2], [1, 5], [1, 5]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 5], [1, 2], [1, 5], [1, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 5], [1, 2], [1, 5], [1, 5]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 5], [1, 2], [1, 5], [2, 2]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[1, 5], [1, 5], [1, 5], [1, 5]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[1, 5], [1, 5], [1, 5], [2, 5]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[1, 5], [2, 1], [2, 5], [2, 1]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[2, 5], [2, 1], [2, 5], [2, 1]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[1, 5], [1, 5], [1, 5], [1, 5]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[1, 5], [1, 5], [1, 5], [2, 5]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[1, 5], [2, 5], [2, 1], [2, 1]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[2, 5], [2, 5], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 5], [1, 5], [1, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[1, 2], [1, 3], [1, 5], [2, 5], [2, 3]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[1, 2], [1, 5], [1, 5], [2, 5], [2, 3]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 5], [1, 5], [1, 3]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 5], [1, 5], [2, 3]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 5], [2, 5], [2, 3]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[1, 3], [1, 5], [1, 5], [1, 5], [1, 3]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[1, 3], [1, 5], [1, 5], [1, 5], [2, 3]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[1, 3], [1, 5], [1, 5], [2, 5], [2, 3]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 5], [2, 5], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 5], [2, 5], [2, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 5], [1, 5], [1, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 5], [1, 5], [1, 3]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 5], [1, 5], [2, 3]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[1, 3], [1, 5], [1, 5], [1, 5], [1, 3]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[1, 3], [1, 5], [1, 5], [1, 5], [2, 3]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 5], [2, 5], [2, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 5], [2, 5], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[1, 2], [1, 5], [1, 2], [1, 5], [1, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[1, 2], [1, 5], [1, 3], [2, 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[1, 5], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 3], [1, 5], [1, 5], [1, 3], [2, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 3], [1, 5], [1, 5], [1, 5], [1, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 3], [1, 5], [1, 5], [1, 5], [2, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[2, 0], [2, 5], [2, 5], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[2, 0], [2, 5], [2, 5], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[1, 2], [1, 5], [1, 2], [1, 5], [1, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[1, 3], [1, 5], [1, 3], [1, 5], [1, 3]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[1, 3], [1, 5], [1, 3], [1, 5], [2, 3]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[1, 3], [1, 5], [1, 5], [1, 5], [1, 3]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[1, 3], [1, 5], [1, 5], [1, 5], [2, 3]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[2, 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0, 3, 2, 1], &#34;pos&#34;: [[1, 5], [1, 3], [1, 5], [1, 5], [2, 3]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[1, 5], [2, 0], [2, 5], [2, 0], [2, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[1, 5], [2, 0], [2, 5], [2, 1], [2, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[2, 5], [2, 0], [2, 5], [2, 0], [2, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[2, 5], [2, 0], [2, 5], [2, 1], [2, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_placement&#34;, &#34;strategy_class&#34;: &#34;RequirementPlacementStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}], &#34;indices&#34;: [0, 0], &#34;direction&#34;: 2, &#34;own_col&#34;: true, &#34;own_row&#34;: true, &#34;include_empty&#34;: true}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 2], [2, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 4], [2, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 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&#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 2], [1, 4], [1, 4]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 4], [1, 4], [1, 4]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 2], [1, 4], [1, 4]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 4], [1, 4], [1, 4]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[1, 4], [1, 2], [1, 4]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[1, 4], [1, 4], [1, 4]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 2], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 4], [1, 4], [1, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 4], [1, 4], [1, 4]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 4], [1, 2], [1, 4]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 4], [1, 4], [1, 4]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 4], [1, 2], [1, 4]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 4], [1, 4], [1, 4]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 4], [1, 4], [1, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 4], [1, 4], [1, 4]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 2], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 4], [1, 4], [1, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 4], [1, 4], [1, 4]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 2], [0, 3], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 2], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 2], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 2], [0, 4], [0, 3], [0, 4]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 2], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 4], [0, 4], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 4], [0, 4], [1, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 4], [1, 4], [1, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 4], [0, 3], [0, 4]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 4], [0, 4], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 4], [0, 4], [1, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 1], [1, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [1, 4]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 4], [0, 4], [1, 4], [1, 4]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[1, 1], [1, 4], [1, 4], [1, 1]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [1, 4]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[1, 1], [1, 4], [1, 4], [1, 1]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [1, 4]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[0, 4], [0, 4], [1, 4], [1, 4]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[1, 4], [1, 1], [1, 4], [1, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [1, 4]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 4], [1, 4], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 4], [0, 2], [0, 3], [0, 4]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 4], [0, 2], [0, 4], [0, 4]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 4], [0, 2], [0, 4], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 4], [0, 2], [0, 4], [0, 4]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 4], [0, 2], [0, 4], [1, 2]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [1, 4]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[0, 4], [1, 1], [1, 4], [1, 1]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[1, 4], [1, 1], [1, 4], [1, 1]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [1, 4]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[0, 4], [1, 4], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[1, 4], [1, 4], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 4], [0, 4], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 4], [0, 4], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 3], [0, 4], [0, 4], [0, 4], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 4], [1, 4], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 4], [1, 4], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 4], [0, 4], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 4], [0, 4], [0, 3]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 3], [0, 4], [0, 4], [0, 4], [0, 3]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 4], [1, 4], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 4], [1, 4], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 4], [0, 2], [0, 4], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 3], [0, 4], [0, 3], [0, 4], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 3], [0, 4], [0, 4], [0, 4], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[1, 0], [1, 4], [1, 0], [1, 4], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[1, 0], [1, 4], [1, 1], [1, 4], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 4], [0, 4], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 4], [0, 4], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 4], [0, 4], [0, 4], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 4], [1, 4], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 4], [1, 4], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 4], [0, 2], [0, 4], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 4], [0, 3], [0, 4], [0, 3]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 4], [0, 4], [0, 4], [0, 3]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 4], [1, 0], [1, 4], [1, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 4], [1, 1], [1, 4], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 4], [0, 4], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 4], [0, 4], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 4], [0, 4], [0, 4], [0, 3]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 4], [1, 4], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 4], [1, 4], [1, 1], [1, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 4], [0, 2], [0, 2], [0, 4], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 4], [0, 3], [0, 3], [0, 4], [0, 3]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 4], [0, 3], [0, 4], [0, 4], [0, 3]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 4], [1, 0], [1, 0], [1, 4], [1, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 4], [1, 0], [1, 1], [1, 4], [1, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[1, 4], [1, 0], [1, 0], [1, 4], [1, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[1, 4], [1, 0], [1, 1], [1, 4], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 2], [0, 4], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 3], [0, 4], [0, 3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 3], [0, 4], [0, 4], [0, 3]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 4], [1, 0], [1, 4], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 4], [1, 0], [1, 4], [1, 1], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[1, 4], [1, 0], [1, 4], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[1, 4], [1, 0], [1, 4], [1, 1], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 4]], [[1, 2], [1, 3], [1, 5], [2, 0], [2, 1], [2, 2], [2, 5]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 3], [0, 3]]}, 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0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 1], [0, 1], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 0], [0, 1], [0, 3], [1, 0], [1, 1], [3, 0]], [[2, 2]]]}}, {&#34;class_module&#34;: 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5], [1, 5], [1, 5]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[1, 5], [1, 5], [1, 6], [1, 5]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[1, 5], [1, 5], [1, 5], [1, 5]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[1, 5], [1, 6], [1, 5], [1, 5]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[1, 5], [1, 5], [1, 5], [1, 5]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[1, 5], [1, 5], [1, 6], [1, 5]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 5], [1, 5], [1, 5], [1, 5]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 5], [1, 6], [1, 5], [1, 5]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[1, 5], [1, 5], [1, 5], [1, 5]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[1, 6], [1, 5], [1, 5], [1, 5]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[1, 5], [1, 5], [1, 5], [1, 5]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[1, 6], [1, 5], [1, 5], [1, 5]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 5], [1, 5], [1, 3]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 5], [1, 6], [1, 3]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[1, 3], [1, 5], [1, 5], [1, 5], [1, 3]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[1, 3], [1, 5], [1, 5], [1, 6], [1, 3]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 5], [1, 5], [1, 3]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 6], [1, 5], [1, 3]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[1, 3], [1, 5], [1, 5], [1, 5], [1, 3]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[1, 3], [1, 5], [1, 6], [1, 5], [1, 3]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[1, 3], [1, 5], [1, 3], [1, 5], [1, 3]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[1, 3], [1, 5], [1, 3], [1, 6], [1, 3]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[1, 3], [1, 5], [1, 5], [1, 5], [1, 3]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[1, 3], [1, 5], [1, 5], [1, 6], [1, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 3], [1, 5], [1, 5], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 3], [1, 5], [1, 5], [1, 5], [1, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 3], [1, 5], [1, 6], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 3], [1, 5], [1, 6], [1, 5], [1, 3]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[1, 3], [1, 5], [1, 3], [1, 5], [1, 3]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[1, 3], [1, 5], [1, 5], [1, 5], [1, 3]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[1, 3], [1, 6], [1, 3], [1, 5], [1, 3]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[1, 3], [1, 6], [1, 5], [1, 5], [1, 3]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[1, 3], [1, 5], [1, 5], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[1, 3], [1, 5], [1, 5], [1, 5], [1, 3]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[1, 3], [1, 6], [1, 5], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[1, 3], [1, 6], [1, 5], [1, 5], [1, 3]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[1, 5], [1, 3], [1, 3], [1, 5], [1, 3]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[1, 5], [1, 3], [1, 5], [1, 5], [1, 3]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[1, 6], [1, 3], [1, 3], [1, 5], [1, 3]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[1, 6], [1, 3], [1, 5], [1, 5], [1, 3]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[1, 5], [1, 3], [1, 5], [1, 3], [1, 3]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[1, 5], [1, 3], [1, 5], [1, 5], [1, 3]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[1, 6], [1, 3], [1, 5], [1, 3], [1, 3]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[1, 6], [1, 3], [1, 5], [1, 5], [1, 3]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 7]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 6]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 7]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 7]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 6]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 7], [2, 7]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 5], [0, 5]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 7], [2, 7]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 3], [1, 4], [1, 4]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 3], [1, 4], [1, 6]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 3], [1, 6], [1, 6]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 0], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 0], [2, 1], [2, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 0], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 3], [1, 4], [1, 4]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 3], [1, 6], [1, 4]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 3], [1, 6], [1, 6]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 4], [1, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 4], [1, 4], [1, 4], [1, 4]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 2], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 1], [2, 2], [2, 2], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 3], [1, 4], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 4], [1, 4], [1, 4], [1, 4]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 1], [2, 2], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 1], [2, 2], [2, 2], [2, 1]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[1, 6], [1, 6], [1, 6], [1, 6]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[1, 6], [1, 6], [1, 6], [1, 6]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[1, 6], [1, 6], [1, 6], [1, 6]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 6], [1, 6], [1, 6], [1, 6]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[1, 6], [1, 6], [1, 6], [1, 6]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[1, 6], [1, 6], [1, 6], [1, 6]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[1, 4], [1, 4], [1, 6], [1, 6], [1, 4]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[1, 4], [1, 6], [1, 6], [1, 6], [1, 4]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[1, 4], [1, 4], [1, 6], [1, 6], [1, 4]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[1, 4], [1, 6], [1, 6], [1, 6], [1, 4]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[1, 4], [1, 6], [1, 4], [1, 6], [1, 4]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[1, 4], [1, 6], [1, 6], [1, 6], [1, 4]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 4], [1, 6], [1, 6], [1, 4], [1, 4]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 4], [1, 6], [1, 6], [1, 6], [1, 4]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[1, 4], [1, 6], [1, 4], [1, 6], [1, 4]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[1, 4], [1, 6], [1, 6], [1, 6], [1, 4]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[1, 4], [1, 6], [1, 6], [1, 4], [1, 4]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[1, 4], [1, 6], [1, 6], [1, 6], [1, 4]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[1, 6], [1, 3], [1, 3], [1, 6], [1, 3]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[1, 6], [1, 4], [1, 4], [1, 6], [1, 4]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[1, 6], [1, 4], [1, 6], [1, 6], [1, 4]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[1, 6], [1, 3], [1, 6], [1, 3], [1, 3]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[1, 6], [1, 4], [1, 6], [1, 4], [1, 4]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[1, 6], [1, 4], [1, 6], [1, 6], [1, 4]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 5]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 7]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_placement&#34;, &#34;strategy_class&#34;: &#34;RequirementPlacementStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}], &#34;indices&#34;: [0, 0], &#34;direction&#34;: 2, &#34;own_col&#34;: true, &#34;own_row&#34;: true, &#34;include_empty&#34;: true}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 6]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 7]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 7]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 6]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 6], [1, 6]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 7], [2, 7]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 4], [0, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 6], [1, 6]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 7], [2, 7]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 0], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 0], [2, 1], [2, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 0], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 1]]}, 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[2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 1], [2, 2], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 1], [2, 2], [2, 2], [2, 1]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[1, 5], [1, 5], [1, 5], [1, 5]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[1, 5], [1, 5], [1, 6], [1, 5]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[1, 5], [1, 5], [1, 5], [1, 5]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[1, 5], [1, 6], [1, 5], [1, 5]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[1, 5], [1, 5], [1, 5], [1, 5]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[1, 5], [1, 5], [1, 6], [1, 5]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 5], [1, 5], [1, 5], [1, 5]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 5], [1, 6], [1, 5], [1, 5]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[1, 5], [1, 5], [1, 5], [1, 5]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[1, 6], [1, 5], [1, 5], [1, 5]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[1, 5], [1, 5], [1, 5], [1, 5]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[1, 6], [1, 5], [1, 5], [1, 5]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 5], [1, 5], [1, 3]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 5], [1, 6], [1, 3]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[1, 3], [1, 5], [1, 5], [1, 5], [1, 3]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[1, 3], [1, 5], [1, 5], [1, 6], [1, 3]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 5], [1, 5], [1, 3]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 6], [1, 5], [1, 3]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[1, 3], [1, 5], [1, 5], [1, 5], [1, 3]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[1, 3], [1, 5], [1, 6], [1, 5], [1, 3]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[1, 3], [1, 5], [1, 3], [1, 5], [1, 3]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[1, 3], [1, 5], [1, 3], [1, 6], [1, 3]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[1, 3], [1, 5], [1, 5], [1, 5], [1, 3]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[1, 3], [1, 5], [1, 5], [1, 6], [1, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 3], [1, 5], [1, 5], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 3], [1, 5], [1, 5], [1, 5], [1, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 3], [1, 5], [1, 6], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 3], [1, 5], [1, 6], [1, 5], [1, 3]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[1, 3], [1, 5], [1, 3], [1, 5], [1, 3]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], 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1], &#34;pos&#34;: [[0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, 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{&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 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2], [0, 2], [0, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 4]], [[1, 3], [1, 5], [1, 6]], [[2, 0], [2, 1], [2, 2], [2, 7]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 6]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 7]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 7]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 6]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 7], [2, 7]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 5], [0, 5]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 7], [2, 7]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 3], [1, 4], [1, 4]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 3], [1, 4], [1, 6]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 3], [1, 6], [1, 6]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 0], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 0], [2, 1], [2, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 0], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 3], [1, 4], [1, 4]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 3], [1, 6], [1, 4]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 3], [1, 6], [1, 6]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 4], [1, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 4], [1, 4], [1, 4], [1, 4]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 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{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 2], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 5]], [[1, 3], [1, 4], [1, 6]], [[2, 0], [2, 1], [2, 2], [2, 7]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 4]]}, 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[[0, 1], [0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 1], [0, 1], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], 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&#34;pos&#34;: [[1, 1], [1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 4], [2, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 4], [2, 4]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 4], [1, 4]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 4], [2, 4]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 1], [1, 4], [1, 4]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 1], [1, 4], [2, 4]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 4], [1, 4]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 4], [2, 4]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 4], [1, 4]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 4], [2, 4]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 4], [1, 0], [1, 4]]}, {&#34;patt&#34;: 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4]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[1, 4], [1, 4], [1, 4], [1, 4]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[1, 4], [1, 4], [1, 4], [2, 4]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[1, 4], [1, 4], [1, 4], [1, 4]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[1, 4], [1, 4], [1, 4], [2, 4]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 4], [1, 4], [1, 4], [1, 4]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 4], [1, 4], [1, 4], [2, 4]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[1, 4], [1, 4], [1, 4], [1, 4]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[1, 4], [1, 4], [1, 4], [2, 4]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[1, 4], [1, 4], [1, 4], [1, 4]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[1, 4], [1, 4], [1, 4], [2, 4]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 4], [1, 4], [1, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[1, 2], [1, 4], [1, 4], [1, 4], [1, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 4], [1, 4], [1, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[1, 2], [1, 4], [1, 4], [1, 4], [1, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[1, 2], [1, 4], [1, 2], [1, 4], [1, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[1, 2], [1, 4], [1, 4], [1, 4], [1, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 2], [1, 4], [1, 4], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 2], [1, 4], [1, 4], [1, 4], [1, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[1, 2], [1, 4], [1, 2], [1, 4], [1, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[1, 2], [1, 4], [1, 4], [1, 4], [1, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[1, 2], [1, 4], [1, 4], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[1, 2], [1, 4], [1, 4], [1, 4], [1, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[1, 4], [1, 2], [1, 2], [1, 4], [1, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[1, 4], [1, 2], [1, 4], [1, 4], [1, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[1, 4], [2, 0], [2, 0], [2, 4], [2, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[1, 4], [1, 2], [1, 4], [1, 2], [1, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[1, 4], [1, 2], [1, 4], [1, 4], [1, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[1, 4], [2, 0], [2, 4], [2, 0], [2, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_placement&#34;, &#34;strategy_class&#34;: &#34;RequirementPlacementStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}], &#34;indices&#34;: [0, 0, 0], &#34;direction&#34;: 2, &#34;own_col&#34;: true, &#34;own_row&#34;: true, &#34;include_empty&#34;: true}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 4], [2, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 4], [2, 4]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 4], [1, 4]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 4], [2, 4]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 1], [1, 4], [1, 4]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 1], [1, 4], [2, 4]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 4], [1, 4]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 4], [2, 4]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 4], [1, 4]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 4], [2, 4]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 4], [1, 0], [1, 4]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 4], [1, 0], [2, 4]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 4], [1, 1], [1, 4]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 4], [1, 1], [2, 4]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[1, 4], [1, 4], [1, 4], [1, 4]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[1, 4], [1, 4], [1, 4], [2, 4]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[1, 4], [1, 4], [1, 4], [1, 4]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[1, 4], [1, 4], [1, 4], [2, 4]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[1, 4], [1, 4], [1, 4], [1, 4]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[1, 4], [1, 4], [1, 4], [2, 4]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 4], [1, 4], [1, 4], [1, 4]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 4], [1, 4], [1, 4], [2, 4]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[1, 4], [1, 4], [1, 4], [1, 4]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[1, 4], [1, 4], [1, 4], [2, 4]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[1, 4], [1, 4], [1, 4], [1, 4]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[1, 4], [1, 4], [1, 4], [2, 4]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 4], [1, 4], [1, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[1, 2], [1, 4], [1, 4], [1, 4], [1, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 4], [1, 4], [1, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[1, 2], [1, 4], [1, 4], [1, 4], [1, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[1, 2], [1, 4], [1, 2], [1, 4], [1, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[1, 2], [1, 4], [1, 4], [1, 4], [1, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 2], [1, 4], [1, 4], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 2], [1, 4], [1, 4], [1, 4], [1, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[1, 2], [1, 4], [1, 2], [1, 4], [1, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[1, 2], [1, 4], [1, 4], [1, 4], [1, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[1, 2], [1, 4], [1, 4], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[1, 2], [1, 4], [1, 4], [1, 4], [1, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[1, 4], [1, 2], [1, 2], [1, 4], [1, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[1, 4], [1, 2], [1, 4], [1, 4], [1, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[1, 4], [2, 0], [2, 0], [2, 4], [2, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[1, 4], [1, 2], [1, 4], [1, 2], [1, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[1, 4], [1, 2], [1, 4], [1, 4], [1, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[1, 4], [2, 0], [2, 4], [2, 0], [2, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 3], [1, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 3], [1, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 3], [1, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [1, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 3], [0, 0], [0, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 3], [0, 0], [1, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 3], [0, 1], [1, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [1, 3]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [1, 3]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [1, 3]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [1, 3]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[0, 3], [0, 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3], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 3], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 3], [0, 3], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [1, 0], [1, 0], [1, 3], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 3], [0, 3], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [1, 0], [1, 3], [1, 0], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 3]], [[1, 0], [1, 1], [1, 2], [1, 4], [2, 0], [2, 4]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 4], [2, 4]]}, {&#34;patt&#34;: [1, 0], 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{&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [1, 0], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [1, 0], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [1, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [1, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 1], [1, 1], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [2, 3], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 1], [2, 3], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [1, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 3], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 3], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 1], [2, 3], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 3], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [2, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [2, 1], [2, 3], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [2, 1], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [2, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [2, 3], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [2, 3], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 0], [1, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[0, 2], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[0, 2], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [1, 0], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [1, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 1], [1, 1], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 4], [2, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 4], [2, 4]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 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{&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], 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0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 0], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 3], [0, 4]], [[1, 0], [1, 1], [2, 0], [2, 2], [2, 5]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 5]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 3], [0, 5]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 5], [0, 5]]}, 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[0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 4], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 4], [0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 1], [0, 2], [0, 2], [0, 1]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 1], [0, 2], [0, 3], [0, 5], [1, 0], [3, 1], [3, 2], [4, 0], [5, 0]], [[2, 4]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, 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&#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [2, 3]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 3], [0, 4], [0, 3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 1], [0, 2], [0, 3], [0, 5], [1, 6], [2, 3], [3, 0], [5, 0]], [[4, 4]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2]]}, 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{&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 4], [1, 0], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 4], [1, 1], [1, 1], [1, 2], [1, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 4], [1, 1], [1, 2], [1, 2], [1, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[1, 2], [1, 0], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[1, 2], [1, 1], [1, 1], [1, 2], [1, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[1, 2], [1, 1], [1, 2], [1, 2], [1, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[1, 5], [1, 0], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[1, 5], [1, 1], [1, 1], [1, 2], [1, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[1, 5], [1, 1], [1, 2], [1, 2], [1, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 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[1, 2], [1, 1], [1, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[1, 2], [1, 1], [1, 2], [1, 2], [1, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[1, 5], [1, 0], [1, 2], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[1, 5], [1, 1], [1, 2], [1, 1], [1, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[1, 5], [1, 1], [1, 2], [1, 2], [1, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 5]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 5]]}]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, 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1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, 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3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 2]], [[1, 0], [1, 1], [2, 0], [2, 1], [2, 3]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 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{&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 3], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 0], [0, 2], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 0], [0, 0], [0, 2], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 0], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 2], [0, 2], [0, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [1, 0], 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0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 0], [1, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 3], [0, 5], [0, 6], [0, 7]], [[1, 0], [1, 1], [3, 0], [3, 2]], [[2, 4]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 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{&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[5, 0], [5, 0], [5, 0], [5, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], 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[[0, 1], [0, 2], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 2], [0, 1]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 1], [0, 2], [1, 0], [3, 1], [3, 2], [4, 0], [5, 0]], [[2, 3]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 1]]}, {&#34;patt&#34;: [0], 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1], [0, 2], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 2], [0, 1]]}], &#34;requirements&#34;: [], 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{&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 2], [1, 2], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [1, 2], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [1, 2], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 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&#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 2], [0, 1]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 2], [0, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [1, 2], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [1, 2], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [1, 1], [1, 2], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [1, 2], [1, 2], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 2], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 2], [1, 2], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [1, 2], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [1, 2], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [1, 2], [1, 2], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 2], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 2], [1, 2], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 2], [0, 1]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [1, 2, 3, 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[0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1], [0, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 1], [0, 2], [1, 1], [1, 2]], [[2, 0], [3, 0]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 2], [0, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1], [0, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 1], [0, 2]], [[1, 0], [2, 0], [3, 0]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [2, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [3, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 3], [2, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 3], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 3], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [2, 2], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 3], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [2, 2], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [2, 1], [2, 2], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [2, 2], [2, 2], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 2], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 1], [2, 2], [2, 2], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: 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0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 0], [1, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 4], [0, 6], [1, 3]], [[2, 0], [2, 1], [4, 0], [4, 2]], [[3, 5]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: 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1], [1, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [1, 0], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[1, 3], [1, 0], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[1, 3], [1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [1, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[1, 3], [1, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[1, 3], [1, 0], [1, 1], [1, 1], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 3], [2, 0], [2, 2], [2, 4], [3, 0], [3, 2]], [[1, 1]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, 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1], &#34;pos&#34;: [[3, 1], [3, 3], [3, 2], [3, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 5]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 3], [2, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 4], [2, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 4], [2, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 4], [2, 4]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 0], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 0], [2, 1], [2, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 0], [2, 1], [2, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 0], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 0], [2, 2], [2, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 3], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 3], [2, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 2], [2, 3], [2, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 3], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [1, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [2, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [1, 3], [2, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [1, 3], [1, 3], [2, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [2, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 3], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 2], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 3], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 1], [2, 2], [2, 2], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 1], [2, 2], [2, 3], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [1, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [2, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [1, 3], [2, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [1, 3], [1, 3], [2, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [2, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 3], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 1], [2, 2], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 1], [2, 2], [2, 2], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 1], [2, 3], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 1], [2, 3], [2, 2], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 3], [2, 3], [3, 0], [3, 1], [3, 2], [3, 3], [3, 5]], [[1, 4]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], 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[[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 4], [2, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 4], [2, 4]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 0], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 0], [2, 1], [2, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 0], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [1, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 2], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 1], [2, 2], [2, 2], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [1, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 1], [2, 2], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 1], [2, 2], [2, 2], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 3], [2, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 4], [2, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 4], [2, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 4], [2, 4]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 0], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 0], [2, 1], [2, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 0], [2, 1], [2, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 0], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 0], [2, 2], [2, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 1], 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&#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [2, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 3], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 2], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 3], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 1], [2, 2], [2, 2], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 1], [2, 2], [2, 3], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [1, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [2, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [1, 3], [2, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [1, 3], [1, 3], [2, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [2, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 3], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 1], [2, 2], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 1], [2, 2], [2, 2], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 1], [2, 3], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 1], [2, 3], [2, 2], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 4]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 1], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 3], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 3], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 3], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 2], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], 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[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 4], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 4], [0, 4], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 4], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 4], [0, 4], [0, 3]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 4], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 3], [0, 4], [0, 3], [0, 4], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 4], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 4], [0, 4], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 4], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 4], [0, 3], [0, 4], [0, 3]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 4], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 4], [0, 4], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 4], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 4], [0, 3], [0, 3], [0, 4], [0, 3]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 3], [0, 4], [0, 3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 3], [0, 4]], [[1, 1], [1, 2]], [[2, 0], [3, 0]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[1, 1], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 1], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[1, 1], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 1], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 3], [1, 1], [1, 2], [1, 2]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[1, 2], [1, 1], [1, 2], [1, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [1, 1], [1, 2], [1, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 2], [1, 1], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 3, 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{&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 2], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[1, 1], [1, 2], [1, 1], [1, 2], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 2], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 1], [1, 2], [1, 2], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 2], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 2], [1, 1], [1, 2], [1, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 2], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 2], [1, 2], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [1, 1], [1, 1], [1, 2], [1, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[1, 2], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[1, 2], [1, 1], [1, 1], [1, 2], [1, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [1, 1], [1, 2], [1, 1], [1, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[1, 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[[1, 0], [1, 1], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [1, 0], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], 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[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 3], [1, 1], [1, 2]], [[2, 0], [3, 0]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, 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[[0, 4], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 4], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 4], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 4], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 4], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 4], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 4], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 4], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 4], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 4], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 4], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 4], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 4], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 4], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 4], [0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 1], [0, 2], [0, 2], [0, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_placement&#34;, &#34;strategy_class&#34;: &#34;RequirementPlacementStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}], &#34;indices&#34;: [0, 0], &#34;direction&#34;: 0, &#34;own_col&#34;: true, &#34;own_row&#34;: true, &#34;include_empty&#34;: true}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 4], [2, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 4], [2, 4]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 0], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 0], [2, 1], [2, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 0], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [1, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 2], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 1], [2, 2], [2, 2], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [1, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 1], [2, 2], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 1], [2, 2], [2, 2], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 2], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, 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{&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], 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[[0, 0], [0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1], [0, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 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[0, 2]], [[1, 0], [2, 0]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 1, 2], 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&#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [1, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [1, 1], [1, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 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[[0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 2], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [1, 2], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [1, 2], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [1, 1], [1, 2], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [1, 2], [1, 2], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 2], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 2], [1, 2], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [1, 2], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [1, 2], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [1, 2], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [1, 2], [1, 2], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 2], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 2], [1, 2], [1, 1]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 0], [0, 2], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 2], [0, 1]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 1], [0, 3], [0, 4], [1, 1], [1, 3], [1, 4]], [[2, 2]], [[3, 0]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 6]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 6]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 6]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 6]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 0], [5, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 0], [5, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[4, 5], [4, 5]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[4, 5], [4, 5]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[5, 3], [5, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 4], [0, 6], [0, 6]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 4], [0, 6], [1, 6]]}, {&#34;patt&#34;: [0, 1, 2], 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{&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 0], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 0], [2, 1], [2, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 0], [2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [2, 3], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 3], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 3], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 3], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 1], [2, 3], [2, 3], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 3], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 1], [2, 3], [2, 1], [2, 1]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 4], [0, 6], [1, 4], [1, 6]], [[2, 1], [2, 2], [3, 0], [5, 0], [5, 1], [5, 3]], [[4, 5]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 5]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 4], [1, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 5], [0, 5]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 5], [1, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 4], [1, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 5], [1, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [1, 4], [1, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 2], [1, 4], [1, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 5], [0, 2], [1, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 5], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 4], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 5], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [1, 2], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [1, 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{&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 3], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 0], [0, 1], [0, 1], [0, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 1], [0, 2], [0, 5], [1, 1], [1, 2], [1, 4]], [[2, 3]], [[3, 0]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: 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2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, 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{&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], 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3], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [1, 3]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [1, 0], [1, 3], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [1, 0], [1, 3], [1, 1], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 3], [0, 5], [3, 0], [3, 1], [3, 3], [3, 5]], [[1, 4]], [[2, 2]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 5]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 3], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 3], [0, 4], [0, 4], [0, 5]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 3], [0, 4], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 3], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 4], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 3], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 3], [0, 4], [0, 5], [0, 4]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 3], [0, 4], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 3], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 4], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 3], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 3], [0, 4], [0, 4], [0, 5]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 3], [0, 5], [0, 4], [0, 5]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 3], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 4], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 4], [0, 5], [0, 4]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 5], [0, 5], [0, 4]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 4], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 3], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 3], [0, 5], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 3], [0, 5], [0, 4], [0, 5]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 3], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 4], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 5], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 5], [0, 5], [0, 4]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 4], [0, 3], [0, 4], [0, 4]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 5], [0, 3], [0, 4], [0, 4]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 5], [0, 3], [0, 4], [0, 5]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 5], [0, 3], [0, 5], [0, 5]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 5], [0, 4], [0, 5], [0, 5]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 4], [0, 3], [0, 4], [0, 4]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 5], [0, 3], [0, 4], [0, 4]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 5], [0, 3], [0, 5], [0, 4]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 5], [0, 3], [0, 5], [0, 5]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 5], [0, 4], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 4], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 5], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 4], [0, 4], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 4], [0, 5], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 5], [0, 5], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 5], [0, 4]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 5], [0, 5], [0, 4]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 4], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 4], [0, 4], [0, 3]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 5], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 5], [0, 4], [0, 3]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 5], [0, 5], [0, 3]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 5], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 5], [0, 5], [0, 4]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 4], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 5], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 3], [0, 4], [0, 3], [0, 4], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 3], [0, 4], [0, 3], [0, 5], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 3], [0, 5], [0, 3], [0, 5], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 5], [0, 4]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 4], [0, 5], [0, 4], [0, 5], [0, 4]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 4], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 5], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 4], [0, 4], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 4], [0, 5], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 5], [0, 5], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 5], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 4], [0, 5], [0, 5], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 4], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 4], [0, 3], [0, 4], [0, 3]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 5], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 5], [0, 3], [0, 4], [0, 3]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 5], [0, 3], [0, 5], [0, 3]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 4], [0, 5], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 4], [0, 5], [0, 4], [0, 5], [0, 4]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 4], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 4], [0, 4], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 5], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 5], [0, 4], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 5], [0, 5], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 5], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 5], [0, 5], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 4], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 4], [0, 3], [0, 3], [0, 4], [0, 3]]}, 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[[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 0], [1, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 3], [0, 4], [0, 5]], [[1, 0], [1, 1], [2, 0], [2, 2]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 5]]}, 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{&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 2], [0, 2], [0, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 1], [0, 3], [0, 4], [0, 5], [1, 1], [1, 3]], [[2, 0], [4, 0]], [[3, 2]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 1]]}, 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[[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 2], [0, 4], [1, 1]], [[2, 0], [3, 0], [5, 0]], [[4, 3]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, 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5], [0, 4], [0, 5], [0, 4], [0, 4]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 5], [1, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 5], [1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 1], [1, 1], [1, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, 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0], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 4], [0, 4], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 3], [0, 4], [0, 4], [0, 4], [0, 3]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 4], [0, 4], [0, 3]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 3], [0, 4], [0, 4], [0, 4], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 3], [0, 4], [0, 3], [0, 4], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 3], [0, 4], [0, 4], [0, 4], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 4], [0, 4], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 4], [0, 4], [0, 4], [0, 3]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 4], [0, 3], [0, 4], [0, 3]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 4], [0, 4], [0, 4], [0, 3]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 4], [0, 4], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 4], [0, 4], [0, 4], [0, 3]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 4], [0, 3], [0, 3], [0, 4], [0, 3]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 4], [0, 3], [0, 4], [0, 4], [0, 3]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 3], [0, 4], [0, 3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 3], [0, 4], [0, 4], [0, 3]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 6]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 5]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 5]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 5], [1, 5]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 4], [2, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 5], [1, 5]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 5], [2, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 4], [2, 4]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 3], [0, 3], [1, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 3], [1, 5], [1, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 3], [1, 5], [1, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 3], [0, 3], [1, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 5], [1, 3], [1, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 3], [1, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [1, 3], [1, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [1, 5], [1, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [1, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 3], [1, 3], [1, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 3], [1, 5], [1, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [1, 2], [1, 3], [1, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [1, 2], [1, 5], [1, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [1, 3], [1, 3], [1, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [1, 3], [1, 5], [1, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 3], [1, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 2], [1, 3], [1, 3], [1, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [1, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [1, 3], [1, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [1, 3], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [1, 3], [1, 3], [1, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [1, 5], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [1, 5], [1, 3], [1, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 2], [1, 3], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 2], [1, 3], [1, 3], [1, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 3], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 3], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 3], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 3], [0, 3], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 3], [0, 3], [0, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 3], [0, 4], [1, 3], [1, 4], [1, 6], [3, 0], [3, 2], [3, 5]], [[2, 1]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, 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1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 3], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 3], [0, 3], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 3], [0, 3], [0, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 5]]}]}}, 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{&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 4], [0, 2], [0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 4], [0, 2], [0, 2], [0, 4], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 4], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 4], [0, 3], [0, 3], [0, 4], [0, 3]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 2], [0, 3], [0, 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{&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 0], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 3], [0, 4], [0, 5]], [[1, 0], [1, 1], [1, 6], [2, 0], [2, 2]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [2, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 0], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 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{&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 3], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 3], [0, 2], [0, 1]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 1], [0, 3], [0, 4], [0, 5], [1, 1], [1, 3]], [[2, 0], [4, 0]], [[3, 2]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, 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&#34;pos&#34;: [[0, 3], [0, 1], [0, 3], [0, 2], [0, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], 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3], [0, 3], [0, 3], [1, 3]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1], [1, 3], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 3], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [1, 3]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 3], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 3], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [1, 3]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 3], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 3], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [1, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 3], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 3], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [1, 3]]}, {&#34;patt&#34;: [0, 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{&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [1, 0], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [1, 3]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [1, 0], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [1, 0], [1, 0], [1, 3], [1, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [1, 0], [1, 1], [1, 3], [1, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[1, 3], [1, 0], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[1, 3], [1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [1, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [1, 3]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [1, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [1, 0], [1, 3], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [1, 0], [1, 3], [1, 1], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[1, 3], [1, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[1, 3], [1, 0], [1, 1], [1, 1], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 2], [1, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 3], [1, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [1, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: 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[0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 5], [1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 5], [2, 0], [2, 1], [2, 0], [2, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 5], [2, 0], [2, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[1, 3], [2, 0], [2, 1], [2, 0], [2, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[1, 3], [2, 0], [2, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[2, 1], [2, 0], [2, 1], [2, 0], [2, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[2, 1], [2, 0], [2, 1], [2, 1], [2, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, 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0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 3], [0, 4], [0, 5]], [[1, 0], [1, 1], [1, 6], [2, 0], [2, 2]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 6]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 7]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], 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&#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 2], [0, 3], [0, 5], [1, 0], [1, 1], [1, 7], [3, 0], [3, 1], [3, 6]], [[2, 4]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 6]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, 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3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 3], [0, 4], [0, 3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 5]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 6]]}]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 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1], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 0]]}, 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{&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 0], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 3], [0, 4]], [[1, 0], [1, 1], [2, 0], [2, 2], [2, 5]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, 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&#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], 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&#34;pos&#34;: [[0, 4], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 2], [0, 4], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_placement&#34;, &#34;strategy_class&#34;: &#34;RequirementPlacementStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}], &#34;indices&#34;: [0, 0], &#34;direction&#34;: 2, &#34;own_col&#34;: true, &#34;own_row&#34;: true, &#34;include_empty&#34;: true}}, {&#34;class_module&#34;: 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0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, 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0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 4], [2, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 4], [2, 4]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 4], [2, 4]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 1, 2], 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0], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 4], [0, 0], [0, 4]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 4], [0, 0], [2, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 4], [0, 0], [2, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 4], [0, 0], [2, 4]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[2, 0], [2, 1], [2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[2, 0], [2, 1], [2, 3], [2, 4]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[2, 0], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[2, 0], [2, 3], [2, 3], [2, 4]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[2, 0], [2, 1], [2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[2, 0], [2, 1], [2, 4], [2, 3]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[2, 0], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[2, 0], [2, 3], [2, 4], [2, 3]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[2, 0], [2, 3], [2, 1], [2, 3]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[2, 0], [2, 3], [2, 1], [2, 4]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[2, 0], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[2, 0], [2, 3], [2, 3], [2, 4]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 4], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [2, 3], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [2, 4], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [2, 0], [2, 3], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [2, 0], [2, 4], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 3], [2, 3], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 3], [2, 4], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 3], [2, 4], [2, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 3], [2, 1], [2, 3]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 4], [2, 1], [2, 3]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 4], [2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 4], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 4], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [2, 1], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [2, 3], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [2, 4], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 3], [2, 3], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 4], [2, 3], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 4], [2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[2, 3], [2, 3], [2, 4], [2, 3]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[2, 3], [2, 4], [2, 3], [2, 3]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[2, 3], [2, 3], [2, 4], [2, 3]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 3], [2, 4], [2, 3], [2, 3]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 4], [2, 0], [2, 1], [2, 3]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 4], [2, 0], [2, 1], [2, 4]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 4], [2, 0], [2, 3], [2, 3]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 4], [2, 0], [2, 3], [2, 4]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[2, 3], [2, 0], [2, 1], [2, 3]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[2, 3], [2, 0], [2, 3], [2, 3]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[2, 4], [2, 0], [2, 1], [2, 3]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[2, 4], [2, 0], [2, 3], [2, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 4], [0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 4], [0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 4], [2, 0], [2, 3], [2, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 4], [2, 0], [2, 3], [2, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 4], [2, 0], [2, 4], [2, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 4], [2, 0], [2, 4], [2, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[2, 3], [2, 0], [2, 3], [2, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[2, 3], [2, 0], [2, 3], [2, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[2, 4], [2, 0], [2, 3], [2, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[2, 4], [2, 0], [2, 3], [2, 3]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[0, 4], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[0, 4], [2, 3], [2, 4], [2, 3]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[2, 4], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[0, 4], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[0, 4], [2, 4], [2, 3], [2, 3]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[2, 4], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 4], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [2, 4]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 3], [2, 3], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 3], [2, 4], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 3], [2, 3], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 3], [2, 4], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[2, 1], [2, 3], [2, 3], [2, 3], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[2, 1], [2, 3], [2, 3], [2, 4], [2, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], 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{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 5]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [4, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 2], [4, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[4, 2], [4, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 4], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 4], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 2], [4, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [3, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [3, 2], [4, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [4, 2], [4, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 2], [2, 2], [3, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 4], [2, 2], [3, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 4], [3, 2], [3, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 5], [2, 2], [3, 2]]}, 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&#34;pos&#34;: [[1, 1], [1, 0], [1, 1], [1, 1], [1, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 4], [0, 5], [0, 6], [2, 0], [2, 2], [3, 0], [3, 2], [4, 0], [4, 3]], [[1, 1]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: 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[]}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 3], [0, 4], [2, 0], [2, 2], [2, 3], [2, 4], [3, 0], [3, 2]], [[1, 1]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: 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&#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 3], [1, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [1, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 3], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 3], [1, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 3], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 3], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [2, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 3], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 3], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [2, 1], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 3], [1, 1]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[1, 1], [1, 3], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 3], [1, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 1], [1, 3], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[0, 2], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[0, 3], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[0, 3], [1, 1], [1, 3], [1, 1]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[1, 3], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[0, 2], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[0, 3], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[0, 3], [1, 3], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 2, 1, 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{&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 3], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 3], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [1, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 3], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 3], [1, 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{&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [1, 0], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [1, 0], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [1, 0], [1, 1], [1, 2], [1, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [1, 0], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 5], [0, 2], [0, 2], [0, 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[1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[1, 4], [1, 0], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[1, 4], [1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[1, 6], [1, 0], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[1, 6], [1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [1, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [1, 0], [1, 2], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [1, 0], [1, 2], [1, 1], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [1, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 5], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 5], [0, 2], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 5], [0, 2], [0, 5], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 5], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 5], [0, 3], [0, 5], [0, 3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 5], [1, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 5], [1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[1, 2], [1, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[1, 2], [1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[1, 4], [1, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[1, 4], [1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[1, 6], [1, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[1, 6], [1, 0], [1, 1], [1, 1], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 6]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 3], [0, 4], [0, 6], [2, 0], [2, 2], [2, 3], [2, 5], [2, 7], [3, 0], [3, 2]], [[1, 1]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 6]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 6]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 2], [1, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 2], [1, 6]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 4], [1, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 4], [1, 6]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 6], [1, 6]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 5], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 5], [1, 4]]}, 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&#34;pos&#34;: [[0, 3], [0, 2], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 2], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 2], [0, 4], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 3], [0, 4], [0, 3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], 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{&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 4], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 4], [1, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 6], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 6], [1, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 6], [1, 6]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 5]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 5], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 5], [0, 5]]}, {&#34;patt&#34;: [1, 2, 0], 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{&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 3], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 3], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 1]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 2], [0, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 2, 0], 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0], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 2], [0, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 2], [0, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 2], [0, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [0, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 2], [0, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, 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{&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 3], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 3], [1, 2], [1, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 3], [1, 2]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[1, 2], [1, 3], [1, 3], [1, 2]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[1, 2], [1, 3], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[1, 2], [1, 3], [1, 3], [1, 2]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 3], [1, 2]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[1, 3], [1, 2], [1, 3], [1, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 2], [1, 3], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 2], [1, 2]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[1, 3], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[1, 3], [1, 2], [1, 3], [1, 2]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[1, 3], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 2], [1, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 0], [1, 3], [1, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 3], [1, 0], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_placement&#34;, &#34;strategy_class&#34;: &#34;RequirementPlacementStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], &#34;indices&#34;: [0, 0], &#34;direction&#34;: 2, &#34;own_col&#34;: true, &#34;own_row&#34;: true, &#34;include_empty&#34;: true}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 0], [1, 3], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 2], [1, 3], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 2], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 3], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 3], [1, 2], [1, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 3], [1, 2]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[1, 2], [1, 3], [1, 3], [1, 2]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[1, 2], [1, 3], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[1, 2], [1, 3], [1, 3], [1, 2]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 3], [1, 2]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[1, 3], [1, 2], [1, 3], [1, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 2], [1, 3], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 2], [1, 2]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[1, 3], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[1, 3], [1, 2], [1, 3], [1, 2]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[1, 3], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 2], [1, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 2], [0, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [0, 1], [0, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1], [0, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 1]], [[1, 0], [1, 2], [1, 3]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 0], [1, 3], [1, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 3], [1, 0], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 2], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 2]], [[1, 0], [1, 1], [1, 3]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 2], [0, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [0, 1], [0, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1], [0, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 2], [0, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [0, 1], [0, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1], [0, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 2], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 2], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [0, 0], [0, 0]]}], &#34;requirements&#34;: 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{&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [], &#34;pos&#34;: []}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [1, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 2], [1, 3], [1, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 3], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [1, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [1, 3]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_placement&#34;, &#34;strategy_class&#34;: &#34;RequirementPlacementStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], &#34;indices&#34;: [0, 0], &#34;direction&#34;: 2, &#34;own_col&#34;: true, &#34;own_row&#34;: true, &#34;include_empty&#34;: true}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [1, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 2], [1, 3], [1, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 3], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 2], [0, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: 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{&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [1, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [1, 3]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 1]]}, 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[{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [0, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 2], [0, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [0, 1], [0, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1], [0, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [], &#34;pos&#34;: []}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [1, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 4], [1, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 4], [1, 4], [1, 4]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 4], [1, 4], [1, 4]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[1, 4], [1, 4], [1, 4]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 2], [1, 3], [1, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 2], [1, 4], [1, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 3], [1, 4], [1, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 4], [1, 4], [1, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 4], [1, 4], [1, 4]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 4], [1, 4], [1, 4]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 3], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 4], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 4], [1, 3], [1, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 4], [1, 4], [1, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 4], [1, 4], [1, 4]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 4], [1, 3]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[1, 3], [1, 4], [1, 4], [1, 3]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[1, 3], [1, 4], [1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[1, 3], [1, 4], [1, 4], [1, 3]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 4], [1, 3]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[1, 4], [1, 3], [1, 4], [1, 3]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 3], [1, 4], [1, 3], [1, 3]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 4], [1, 4], [1, 3], [1, 3]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[1, 4], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[1, 4], [1, 3], [1, 4], [1, 3]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[1, 4], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[1, 4], [1, 4], [1, 3], [1, 3]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [1, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 4], [1, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 4], [1, 4], [1, 4]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 4], [1, 4], [1, 4]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[1, 4], [1, 4], [1, 4]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 3], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 4], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 3], [1, 4], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 4], [1, 4], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 4], [1, 4], [1, 4]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 4], [1, 4], [1, 4]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 3], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 4], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 4], [1, 3], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 4], [1, 4], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 4], [1, 4], [1, 4]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 4], [1, 3]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[1, 3], [1, 4], [1, 4], [1, 3]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[1, 3], [1, 4], [1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[1, 3], [1, 4], [1, 4], [1, 3]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 4], [1, 3]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[1, 4], [1, 3], [1, 4], [1, 3]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 3], [1, 4], [1, 3], [1, 3]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 4], [1, 4], [1, 3], [1, 3]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[1, 4], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[1, 4], [1, 3], [1, 4], [1, 3]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[1, 4], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[1, 4], [1, 4], [1, 3], [1, 3]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 2], [1, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 4], [1, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 4], [1, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 4], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 4], [1, 4]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 2], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 4], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 2], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 4], [1, 1], [1, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_placement&#34;, &#34;strategy_class&#34;: &#34;RequirementPlacementStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], &#34;indices&#34;: [0, 0, 0], &#34;direction&#34;: 2, &#34;own_col&#34;: true, &#34;own_row&#34;: true, &#34;include_empty&#34;: true}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [1, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 4], [1, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 4], [1, 4], [1, 4]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 4], [1, 4], [1, 4]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[1, 4], [1, 4], [1, 4]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 2], [1, 3], [1, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 2], [1, 4], [1, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 3], [1, 4], [1, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 4], [1, 4], [1, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 4], [1, 4], [1, 4]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 4], [1, 4], [1, 4]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 3], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 4], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 4], [1, 3], [1, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 4], [1, 4], [1, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 4], [1, 4], [1, 4]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 4], [1, 3]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[1, 3], [1, 4], [1, 4], [1, 3]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[1, 3], [1, 4], [1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[1, 3], [1, 4], [1, 4], [1, 3]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 4], [1, 3]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[1, 4], [1, 3], [1, 4], [1, 3]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 3], [1, 4], [1, 3], [1, 3]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 4], [1, 4], [1, 3], [1, 3]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[1, 4], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[1, 4], [1, 3], [1, 4], [1, 3]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[1, 4], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[1, 4], [1, 4], [1, 3], [1, 3]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 2], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [0, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 3], [0, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 3], [0, 3], [0, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 3], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 3], [0, 2], [0, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 3], [0, 3], [0, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 2]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 2]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[0, 3], [0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 3], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[0, 3], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[0, 3], [0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[0, 3], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[0, 3], [0, 3], [0, 2], [0, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 1]], [[1, 0], [1, 2], [1, 3], [1, 4]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [1, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 4], [1, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 4], [1, 4], [1, 4]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 4], [1, 4], [1, 4]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[1, 4], [1, 4], [1, 4]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 3], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 4], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 3], [1, 4], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 4], [1, 4], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 4], [1, 4], [1, 4]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 4], [1, 4], [1, 4]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 3], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 4], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 4], [1, 3], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 4], [1, 4], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 4], [1, 4], [1, 4]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 4], [1, 3]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[1, 3], [1, 4], [1, 4], [1, 3]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[1, 3], [1, 4], [1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[1, 3], [1, 4], [1, 4], [1, 3]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 4], [1, 3]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[1, 4], [1, 3], [1, 4], [1, 3]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 3], [1, 4], [1, 3], [1, 3]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 4], [1, 4], [1, 3], [1, 3]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[1, 4], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[1, 4], [1, 3], [1, 4], [1, 3]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[1, 4], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[1, 4], [1, 4], [1, 3], [1, 3]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 2], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [0, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 3], [0, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 3], [0, 3], [0, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1]]}, 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&#34;pos&#34;: [[0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 2], [0, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [0, 1], [0, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1], [0, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 2], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [0, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 3], [0, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 3], [0, 3], [0, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 3], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 3], [0, 2], [0, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 3], [0, 3], [0, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 2]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 2]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[0, 3], [0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 3], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[0, 3], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[0, 3], [0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[0, 3], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[0, 3], [0, 3], [0, 2], [0, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 2], [0, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[0, 2], 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[[0, 3], [0, 2], [0, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 3], [0, 3], [0, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 2]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 2]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[0, 3], [0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 3], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[0, 3], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[0, 3], [0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[0, 3], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[0, 3], [0, 3], [0, 2], [0, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 2], [0, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1], [0, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 2], [0, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1], [0, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 2], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [0, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 3], [0, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 3], [0, 3], [0, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 3], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 3], [0, 2], [0, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 3], [0, 3], [0, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 3], [0, 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&#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: 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3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 3], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 3], [0, 2], [0, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 3], [0, 3], [0, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 2]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 2]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[0, 3], [0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 3], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[0, 3], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[0, 3], [0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[0, 3], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[0, 3], [0, 3], [0, 2], [0, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: 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2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [0, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 2], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, 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&#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 2], [0, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [1, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 3], [1, 2]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[1, 2], [1, 3], [1, 3], [1, 2]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[1, 2], [1, 3], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[1, 2], [1, 3], [1, 3], [1, 2]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 3], [1, 2]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[1, 3], [1, 2], [1, 3], [1, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 2], [1, 3], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 2], [1, 2]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[1, 3], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[1, 3], [1, 2], [1, 3], [1, 2]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[1, 3], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 2], [1, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 2], [0, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1], [0, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 0]], [[1, 1], [1, 2], [1, 3]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 2], [0, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1], [0, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 2], [0, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1], [0, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 4], [1, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 4], [1, 4], [1, 4]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 4], [1, 4], [1, 4]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[1, 4], [1, 4], [1, 4]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 2], [1, 3], [1, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 2], [1, 4], [1, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 3], [1, 4], [1, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 4], [1, 4], [1, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 4], [1, 4], [1, 4]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 4], [1, 4], [1, 4]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 3], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 4], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 4], [1, 3], [1, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 4], [1, 4], [1, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 4], [1, 4], [1, 4]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 4], [1, 3]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[1, 3], [1, 4], [1, 4], [1, 3]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[1, 3], [1, 4], [1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[1, 3], [1, 4], [1, 4], [1, 3]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 4], [1, 3]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[1, 4], [1, 3], [1, 4], [1, 3]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 3], [1, 4], [1, 3], [1, 3]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 4], [1, 4], [1, 3], [1, 3]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[1, 4], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[1, 4], [1, 3], [1, 4], [1, 3]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[1, 4], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[1, 4], [1, 4], [1, 3], [1, 3]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 2], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [0, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 3], [0, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 3], [0, 3], [0, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 3], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 3], [0, 2], [0, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 3], [0, 3], [0, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 2]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 2]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[0, 3], [0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 3], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[0, 3], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[0, 3], [0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[0, 3], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[0, 3], [0, 3], [0, 2], [0, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 0]], [[1, 1], [1, 2], [1, 3], [1, 4]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 2], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [0, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 3], [0, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 3], [0, 3], [0, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 3], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 3], [0, 2], [0, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 3], [0, 3], [0, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 2]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 2]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[0, 3], [0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 3], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[0, 3], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[0, 3], [0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[0, 3], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[0, 3], [0, 3], [0, 2], [0, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 2], [0, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [0, 1], [0, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1], [0, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 2], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [0, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 3], [0, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 3], [0, 3], [0, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 3], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 3], [0, 2], [0, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 3], [0, 3], [0, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 2]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 2]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[0, 3], [0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 3], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[0, 3], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[0, 3], [0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[0, 3], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[0, 3], [0, 3], [0, 2], [0, 2]]}], 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0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, 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&#34;pos&#34;: [[1, 0], [1, 2], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 3], [2, 0], [2, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 0], [1, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 1]], [[1, 0], [1, 2], [2, 0], [2, 3]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 5]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 4], [2, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 5], [0, 5]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 5], [2, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 4], [2, 4]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 2], [2, 3], [2, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 3], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [2, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 3], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 3], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [2, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 3], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 3], [2, 2], [2, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 4], [0, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 4], [1, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 2], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 2], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 1], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 3], [0, 5], [2, 0], [2, 2], [2, 3], [2, 4]], [[1, 1]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 4], [0, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 4], [1, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 2], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 2], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 1], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 2], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 2], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 1], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 2], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 2], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 1], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 2], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 2], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 1], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 2], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 2], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 1], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 2], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 2], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 1], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 2], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 2], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 1], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 2]], [[1, 0], [1, 1], [1, 3]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 2], [0, 3]], [[1, 0], [1, 1]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [3, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [3, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 4], [2, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 4], [2, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 3], [3, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[3, 0], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[3, 0], [3, 1], [3, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[3, 0], [3, 3], [3, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [3, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [3, 3], [3, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 3], [3, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 1], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 3], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[3, 1], [3, 1], [3, 3], [3, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[3, 1], [3, 3], [3, 3], [3, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[3, 0], [3, 1], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[3, 0], [3, 3], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[3, 1], [3, 3], [3, 1], [3, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [2, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [2, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 0], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 0], [2, 1], [2, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 0], [2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [2, 3], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 3], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 3], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 3], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 1], [2, 3], [2, 3], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 3], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 1], [2, 3], [2, 1], [2, 1]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 1], [0, 2], [1, 0], [3, 0], [3, 1], [3, 3]], [[2, 4]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 6]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 7]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 6]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 6]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 7]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 7]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 7], [1, 7]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 4], [2, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 6], [3, 6]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 7], [1, 7]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 7], [3, 6]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 4], [2, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 6], [3, 6]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [3, 2], [3, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 5], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 2], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[3, 0], [3, 2], [3, 2], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 5], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[3, 0], [3, 2], [3, 0], [3, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 7]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 6]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 4], [0, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 4], [1, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 0], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, 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[0, 2, 1], &#34;pos&#34;: [[1, 0], [3, 2], [3, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 5], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 2], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[3, 0], [3, 2], [3, 2], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 5], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[3, 0], [3, 2], [3, 0], [3, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 6]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 2], [0, 2]]}, {&#34;patt&#34;: 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&#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 0], [0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 0], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 0], [0, 1], [0, 2]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 2], [0, 2], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 2], [0, 2], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 2], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 2], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 0], [0, 2], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 2], [0, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 4]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 4]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 0], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 4], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 4], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 4], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 4], [0, 0], [0, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 4], [0, 0], [0, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 4], [0, 0], [0, 4]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 4], [0, 0], [2, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 2], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 4], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 4], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 4], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 4], [0, 4], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 4], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 4], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [2, 1], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 4], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 4], [0, 2], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 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[0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 0], [0, 1], [0, 1], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, 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1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [2, 0], [2, 1], [2, 0], [2, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.row_and_col_separation&#34;, &#34;strategy_class&#34;: &#34;RowColumnSeparationStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;inferrable&#34;: true, &#34;possibly_empty&#34;: false, &#34;workable&#34;: true}}, &#34;idx&#34;: 0}]}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;EquivalencePathRule&#34;, &#34;rules&#34;: [{&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 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&#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_placement&#34;, &#34;strategy_class&#34;: &#34;RequirementPlacementStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], &#34;indices&#34;: [0], &#34;direction&#34;: 2, &#34;own_col&#34;: true, &#34;own_row&#34;: true, &#34;include_empty&#34;: false}}]}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;EquivalencePathRule&#34;, &#34;rules&#34;: [{&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: 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2]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[1, 2], [1, 3], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[1, 2], [1, 4], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 3], [1, 2]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 4], [1, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 2], [1, 3], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 2], [1, 4], [1, 2], [1, 2]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[1, 3], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[1, 4], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[1, 3], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[1, 4], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 2], [1, 3], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 2], [1, 4], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2], [1, 3], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2], [1, 4], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 3], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], 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3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 3], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 3], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 4], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 4], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 4], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 4], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 2], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 4], [1, 2], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 4], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[1, 2], [1, 0], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[1, 2], [1, 0], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[1, 3], [1, 0], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[1, 3], [1, 0], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[1, 4], [1, 0], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[1, 4], [1, 0], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[1, 2], [1, 0], [1, 2], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[1, 2], [1, 0], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[1, 3], [1, 0], [1, 2], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[1, 3], [1, 0], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[1, 4], [1, 0], [1, 2], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[1, 4], [1, 0], [1, 2], [1, 2], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 3], [1, 2]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[1, 2], [1, 3], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 3], [1, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 2], [1, 3], [1, 2], [1, 2]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[1, 3], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[1, 3], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 2], [1, 3], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2], [1, 3], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 2, 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{&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 2], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[1, 2], [1, 0], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[1, 2], [1, 0], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[1, 3], [1, 0], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[1, 3], [1, 0], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[1, 2], [1, 0], [1, 2], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[1, 2], [1, 0], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[1, 3], [1, 0], [1, 2], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[1, 3], [1, 0], [1, 2], [1, 2], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.obstruction_inferral&#34;, &#34;strategy_class&#34;: &#34;ObstructionInferralStrategy&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}]}}]}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;EquivalencePathRule&#34;, &#34;rules&#34;: 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[[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_placement&#34;, &#34;strategy_class&#34;: &#34;RequirementPlacementStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}], &#34;indices&#34;: [0], &#34;direction&#34;: 0, &#34;own_col&#34;: true, &#34;own_row&#34;: true, &#34;include_empty&#34;: false}}, &#34;idx&#34;: 0}]}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;EquivalencePathRule&#34;, &#34;rules&#34;: [{&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;ReverseRule&#34;, &#34;original_rule&#34;: {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [1, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 4], [1, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 2], [1, 4]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 4], [1, 4]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 4], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 4], [1, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 4], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 4], [1, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 2], [1, 4], [1, 4], [1, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 4], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 2], [1, 4], [1, 2], [1, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [2, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [2, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 4], [2, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 0], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 0], [2, 2], [2, 4]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 0], [2, 4], [2, 4]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [2, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [2, 4], [2, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 4], [2, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 4], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 2], [2, 2], [2, 4], [2, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 2], [2, 4], [2, 4], [2, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 4], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 2], [2, 4], [2, 2], [2, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.row_and_col_separation&#34;, &#34;strategy_class&#34;: &#34;RowColumnSeparationStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;inferrable&#34;: true, &#34;possibly_empty&#34;: false, &#34;workable&#34;: true}}, &#34;idx&#34;: 0}]}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;EquivalencePathRule&#34;, &#34;rules&#34;: [{&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;ReverseRule&#34;, &#34;original_rule&#34;: {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 0], [0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 0], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 0], [0, 1], [0, 2]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 2], [0, 2], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 2], [0, 2], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 2], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 2], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 0], [0, 2], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 2], [0, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], 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[[2, 4]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_placement&#34;, &#34;strategy_class&#34;: &#34;RequirementPlacementStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], &#34;indices&#34;: [0], &#34;direction&#34;: 2, &#34;own_col&#34;: true, &#34;own_row&#34;: true, &#34;include_empty&#34;: false}}, &#34;idx&#34;: 0}]}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;EquivalencePathRule&#34;, &#34;rules&#34;: [{&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 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0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.row_and_col_separation&#34;, &#34;strategy_class&#34;: &#34;RowColumnSeparationStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;inferrable&#34;: true, &#34;possibly_empty&#34;: false, &#34;workable&#34;: true}}]}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;EquivalencePathRule&#34;, &#34;rules&#34;: [{&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 3], [0, 3]]}, 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{&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[3, 0], [3, 2], [3, 2], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 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&#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.row_and_col_separation&#34;, &#34;strategy_class&#34;: &#34;RowColumnSeparationStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;inferrable&#34;: true, &#34;possibly_empty&#34;: false, &#34;workable&#34;: true}}]}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;EquivalencePathRule&#34;, &#34;rules&#34;: [{&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 2], [1, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [1, 2], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [1, 3], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 2], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 3], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 2], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 3], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 3], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [1, 3], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 3], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [1, 1], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [1, 1], [1, 3], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 3], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 3], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [1, 2], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [1, 2], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [1, 3], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [1, 3], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 1], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [1, 2], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 2], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 2], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [1, 1], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [1, 2], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [1, 2], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 1], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.obstruction_inferral&#34;, &#34;strategy_class&#34;: &#34;ObstructionInferralStrategy&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}]}}]}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;EquivalencePathRule&#34;, &#34;rules&#34;: [{&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;ReverseRule&#34;, &#34;original_rule&#34;: {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 2], [2, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 2], [2, 5]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 4], [1, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 2], [2, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 2], [2, 5]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 3], [2, 5]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 5], [2, 5]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 2], [0, 2]]}, 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{&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [2, 1], [2, 4], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [2, 1], [2, 6], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 4], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 4], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 3], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 3], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 3], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 3], [0, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 3], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 3], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [2, 1], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [2, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [2, 2], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [2, 2], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [2, 4], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [2, 4], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [2, 6], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [2, 6], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 4], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 4], [2, 1], [2, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 5]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.row_and_col_separation&#34;, &#34;strategy_class&#34;: &#34;RowColumnSeparationStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;inferrable&#34;: true, &#34;possibly_empty&#34;: false, &#34;workable&#34;: true}}, &#34;idx&#34;: 0}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;ReverseRule&#34;, &#34;original_rule&#34;: {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 3], [0, 3], [0, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 3], [0, 3], [0, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 2], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 2], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 1], [0, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [0, 1]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [0, 1]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[0, 3], [0, 1], [0, 3], [0, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 3], [0, 3], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[0, 3], [0, 1], [0, 3], [0, 1]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[0, 3], [0, 3], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 3], [0, 3], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 3], [0, 3], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 3], [0, 3], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 3], [0, 3], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 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&#34;pos&#34;: [[0, 3], [0, 0], [0, 3], [0, 1], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 2], [2, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 2], [2, 5]]}, {&#34;patt&#34;: [0, 1], 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&#34;pos&#34;: [[1, 0], [1, 2], [1, 3], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 2], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[1, 2], [1, 0], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[1, 2], [1, 0], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[1, 3], [1, 0], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[1, 3], [1, 0], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[1, 2], [1, 0], [1, 2], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[1, 2], [1, 0], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[1, 3], [1, 0], [1, 2], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[1, 3], [1, 0], [1, 2], [1, 2], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 2], [1, 2], [2, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 2], [2, 3], [2, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 2], [2, 3], [2, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 2], [1, 2], [2, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 3], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 2], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 3], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 2], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 2], [2, 3], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 3], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [2, 2], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [2, 2], [2, 3], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [2, 2], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [2, 2], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [2, 3], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [2, 3], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 2], [2, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[1, 2], [1, 0], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[1, 2], [1, 0], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[1, 2], [1, 0], [1, 2], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[1, 2], [1, 0], [1, 2], [1, 2], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.row_and_col_separation&#34;, &#34;strategy_class&#34;: &#34;RowColumnSeparationStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;inferrable&#34;: true, &#34;possibly_empty&#34;: false, &#34;workable&#34;: true}}]}, 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0, 3, 2, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_placement&#34;, &#34;strategy_class&#34;: &#34;RequirementPlacementStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}], &#34;indices&#34;: [0], &#34;direction&#34;: 0, &#34;own_col&#34;: true, &#34;own_row&#34;: true, &#34;include_empty&#34;: false}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: 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{&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.row_and_col_separation&#34;, &#34;strategy_class&#34;: &#34;RowColumnSeparationStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;inferrable&#34;: true, &#34;possibly_empty&#34;: false, &#34;workable&#34;: true}}, &#34;idx&#34;: 0}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;ReverseRule&#34;, &#34;original_rule&#34;: {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: 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&#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_placement&#34;, &#34;strategy_class&#34;: &#34;RequirementPlacementStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], &#34;indices&#34;: [0], &#34;direction&#34;: 0, &#34;own_col&#34;: true, &#34;own_row&#34;: true, &#34;include_empty&#34;: false}}]}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;EquivalencePathRule&#34;, &#34;rules&#34;: [{&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 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&#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [1, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 1], [0, 0], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], 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[[0, 0], [0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], 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3], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 2], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 2], [2, 3], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 2], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 2], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 3], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 3], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 2], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 3], [2, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 3], [2, 2], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 2], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 2], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 3], [2, 2], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 3], [2, 2], [2, 2], [2, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [2, 0], [2, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [2, 0], [2, 2], [2, 2], [2, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[2, 2], [2, 0], [2, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[2, 2], [2, 0], [2, 2], [2, 2], [2, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[2, 3], [2, 0], [2, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[2, 3], [2, 0], [2, 2], [2, 2], [2, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [2, 0], [2, 2], [2, 0], [2, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [2, 0], [2, 2], [2, 2], [2, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[2, 2], [2, 0], [2, 2], [2, 0], [2, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[2, 2], [2, 0], [2, 2], [2, 2], [2, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[2, 3], [2, 0], [2, 2], [2, 0], [2, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[2, 3], [2, 0], [2, 2], [2, 2], [2, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 4], [3, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 4], [3, 4]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 2], [2, 2], [3, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 2], [3, 4], [3, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 2], [3, 4], [3, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 3], [2, 2], [3, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 3], [3, 2], [3, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 2], [2, 2], [3, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 4], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], 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[0], &#34;pos&#34;: [[1, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 4]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.row_and_col_separation&#34;, &#34;strategy_class&#34;: &#34;RowColumnSeparationStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;inferrable&#34;: true, &#34;possibly_empty&#34;: false, &#34;workable&#34;: true}}]}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;EquivalencePathRule&#34;, &#34;rules&#34;: [{&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 3], [0, 3]]}, 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{&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 5], [2, 1], [2, 3], [2, 3], [2, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[2, 3], [2, 0], [2, 3], [2, 0], [2, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[2, 3], [2, 1], [2, 3], [2, 1], [2, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[2, 3], [2, 1], [2, 3], [2, 3], [2, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[2, 4], [2, 0], [2, 3], [2, 0], [2, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[2, 4], [2, 1], [2, 3], [2, 1], [2, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[2, 4], [2, 1], [2, 3], [2, 3], [2, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[2, 5], [2, 0], [2, 3], [2, 0], [2, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[2, 5], [2, 1], [2, 3], [2, 1], [2, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[2, 5], [2, 1], [2, 3], [2, 3], [2, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_placement&#34;, &#34;strategy_class&#34;: &#34;RequirementPlacementStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], &#34;indices&#34;: [0], &#34;direction&#34;: 2, &#34;own_col&#34;: true, &#34;own_row&#34;: true, &#34;include_empty&#34;: false}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 4], [2, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 4], [2, 5]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 5], [2, 5]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 5], [2, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 5], [2, 5]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 4], [2, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 5], [2, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 5], [2, 5]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 4], [0, 5]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 4], [2, 4]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 4], [2, 5]]}, {&#34;patt&#34;: [0, 1, 2], 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{&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [2, 1, 3, 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[0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 2], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 2], [0, 2], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 2], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 2], [0, 2], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 2], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 2], [0, 2], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 2], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 2], [0, 2], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 2], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 2], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 2], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 1], [0, 2], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 2], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 2], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 1], [0, 2], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [0, 1], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 0], [0, 2], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 1], [0, 2], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2], [0, 1], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 2], [2, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 4], [2, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 4], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 4], [2, 4]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 1], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 2], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 4], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 2], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [2, 2], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], 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{&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_placement&#34;, &#34;strategy_class&#34;: &#34;RequirementPlacementStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], &#34;indices&#34;: [0], &#34;direction&#34;: 0, &#34;own_col&#34;: true, &#34;own_row&#34;: true, &#34;include_empty&#34;: false}}, &#34;idx&#34;: 0}]}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;EquivalencePathRule&#34;, &#34;rules&#34;: [{&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;ReverseRule&#34;, &#34;original_rule&#34;: {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 0], [2, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 4], [1, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 4], [1, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 3], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 3], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 3], [2, 3], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 3], [2, 0], [2, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.row_and_col_separation&#34;, &#34;strategy_class&#34;: &#34;RowColumnSeparationStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;inferrable&#34;: true, &#34;possibly_empty&#34;: false, &#34;workable&#34;: true}}, &#34;idx&#34;: 0}]}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;EquivalencePathRule&#34;, &#34;rules&#34;: [{&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;ReverseRule&#34;, &#34;original_rule&#34;: {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 0], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 1], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [3, 2], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [3, 2], [3, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], 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[[0, 0], [0, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [2, 1], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [2, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[3, 0], [3, 2], [3, 0], [3, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_placement&#34;, &#34;strategy_class&#34;: &#34;RequirementPlacementStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: 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[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 3], [2, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [2, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 1], [2, 1]]}, 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2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 5]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 4], [2, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 5], [0, 5]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 5], [2, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 4], [2, 4]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 0], [2, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.row_and_col_separation&#34;, &#34;strategy_class&#34;: &#34;RowColumnSeparationStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;inferrable&#34;: true, &#34;possibly_empty&#34;: false, &#34;workable&#34;: true}}]}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;EquivalencePathRule&#34;, &#34;rules&#34;: [{&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;ReverseRule&#34;, &#34;original_rule&#34;: {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, 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{&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 2], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [2, 2], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 1], [2, 2], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [0, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 2], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, 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{&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [2, 1], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [2, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [2, 2], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [2, 2], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 1], [2, 0]]}], &#34;requirements&#34;: 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[[2, 0], [2, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 1], [2, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.row_and_col_separation&#34;, &#34;strategy_class&#34;: &#34;RowColumnSeparationStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;inferrable&#34;: true, &#34;possibly_empty&#34;: false, &#34;workable&#34;: true}}, &#34;idx&#34;: 0}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;ReverseRule&#34;, &#34;original_rule&#34;: {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 2], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 2], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 1], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 2], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [2, 2], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 1], [2, 2], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [0, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 2], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 2], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 2], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 2], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 2], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [2, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [2, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 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[0, 1], [0, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [2, 1], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [2, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [2, 2], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [2, 2], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 1], [2, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_placement&#34;, &#34;strategy_class&#34;: &#34;RequirementPlacementStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}], &#34;indices&#34;: [0], &#34;direction&#34;: 0, &#34;own_col&#34;: true, &#34;own_row&#34;: true, &#34;include_empty&#34;: false}}, &#34;idx&#34;: 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2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_placement&#34;, &#34;strategy_class&#34;: &#34;RequirementPlacementStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}], &#34;indices&#34;: [0], &#34;direction&#34;: 0, &#34;own_col&#34;: true, &#34;own_row&#34;: true, &#34;include_empty&#34;: false}}, &#34;idx&#34;: 0}]}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: 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[[2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 0], [2, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], 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{&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 3], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 3], [2, 3], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 3], [2, 0], [2, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.row_and_col_separation&#34;, &#34;strategy_class&#34;: &#34;RowColumnSeparationStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;inferrable&#34;: true, &#34;possibly_empty&#34;: false, &#34;workable&#34;: true}}, &#34;idx&#34;: 0}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;ReverseRule&#34;, &#34;original_rule&#34;: {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 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&#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 4], [0, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], 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{&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[0, 4], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 4], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 4], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 4], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 4], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 4], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 4], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 4], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 4], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 4], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 4], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 4], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 4], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 4], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 4], [0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 1], [0, 2], [0, 2], [0, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_placement&#34;, &#34;strategy_class&#34;: &#34;RequirementPlacementStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}], &#34;indices&#34;: [0], &#34;direction&#34;: 0, &#34;own_col&#34;: true, &#34;own_row&#34;: true, &#34;include_empty&#34;: false}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: 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0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_placement&#34;, &#34;strategy_class&#34;: &#34;RequirementPlacementStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}], &#34;indices&#34;: [0], &#34;direction&#34;: 0, &#34;own_col&#34;: true, &#34;own_row&#34;: true, &#34;include_empty&#34;: false}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [3, 1]]}, 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{&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.row_and_col_separation&#34;, &#34;strategy_class&#34;: &#34;RowColumnSeparationStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;inferrable&#34;: true, &#34;possibly_empty&#34;: false, &#34;workable&#34;: true}}]}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;EquivalencePathRule&#34;, &#34;rules&#34;: [{&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [1, 2], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 2], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 2], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 1], 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1], [0, 0], [0, 1], [0, 1], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [3, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [3, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: 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[0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_placement&#34;, &#34;strategy_class&#34;: &#34;RequirementPlacementStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}], &#34;indices&#34;: [0], &#34;direction&#34;: 0, &#34;own_col&#34;: true, &#34;own_row&#34;: true, &#34;include_empty&#34;: false}}, {&#34;class_module&#34;: 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[0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 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[[0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [1, 2], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 2], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 2], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 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{&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [3, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [3, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_placement&#34;, &#34;strategy_class&#34;: &#34;RequirementPlacementStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}], &#34;indices&#34;: [0], &#34;direction&#34;: 0, &#34;own_col&#34;: true, &#34;own_row&#34;: true, &#34;include_empty&#34;: false}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [3, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [3, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.row_and_col_separation&#34;, &#34;strategy_class&#34;: &#34;RowColumnSeparationStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;inferrable&#34;: true, &#34;possibly_empty&#34;: false, &#34;workable&#34;: true}}]}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;EquivalencePathRule&#34;, &#34;rules&#34;: [{&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, 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&#34;pos&#34;: [[1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 2], [1, 2], [2, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 3], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 2], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 3], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], 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1], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_placement&#34;, &#34;strategy_class&#34;: &#34;RequirementPlacementStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}], &#34;indices&#34;: [0], &#34;direction&#34;: 0, &#34;own_col&#34;: true, &#34;own_row&#34;: true, &#34;include_empty&#34;: false}}, &#34;idx&#34;: 0}]}, {&#34;class_module&#34;: 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{&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 4], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 4], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 4], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], 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{&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 4], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 4], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 4], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 4], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 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[[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [2, 1], [2, 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3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [2, 1], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [2, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: 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0], &#34;pos&#34;: [[0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [2, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_placement&#34;, &#34;strategy_class&#34;: &#34;RequirementPlacementStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}], &#34;indices&#34;: [0], &#34;direction&#34;: 0, &#34;own_col&#34;: true, &#34;own_row&#34;: true, &#34;include_empty&#34;: false}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 3], [2, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [2, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 5]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 4], [2, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 5], [0, 5]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 5], [2, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 4], [2, 4]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 0], [2, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.row_and_col_separation&#34;, &#34;strategy_class&#34;: &#34;RowColumnSeparationStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;inferrable&#34;: true, &#34;possibly_empty&#34;: false, &#34;workable&#34;: true}}]}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;EquivalencePathRule&#34;, &#34;rules&#34;: [{&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 4], [2, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 4], [2, 4]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.row_and_col_separation&#34;, &#34;strategy_class&#34;: &#34;RowColumnSeparationStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;inferrable&#34;: true, &#34;possibly_empty&#34;: false, &#34;workable&#34;: true}}]}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;EquivalencePathRule&#34;, &#34;rules&#34;: [{&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 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{&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 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[3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [3, 2], [3, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 7], [0, 3], [0, 7]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 5], [0, 6], [0, 7], [0, 7]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 5], [0, 7], [0, 7], [0, 7]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 5], [0, 6], [0, 7], [0, 7]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 5], [0, 7], [0, 7], [0, 7]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 5], [0, 7], [0, 6], [0, 7]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 5], [0, 7], [0, 7], [0, 7]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 6], [0, 5]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 5], [0, 7], [0, 7], [0, 6]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 5], [0, 7], [0, 7], [0, 7]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 6], [0, 6], [0, 6], [0, 6]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 2], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[3, 0], [3, 2], [3, 2], [3, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 5], [0, 7], [0, 6], [0, 7]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 5], [0, 7], [0, 7], [0, 7]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 5], [0, 6], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 5], [0, 7], [0, 7], [0, 6]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 5], [0, 7], [0, 7], [0, 7]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 6], [0, 6], [0, 6], [0, 6]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[3, 0], [3, 2], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 7], [0, 7], [0, 7], [0, 7]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[0, 7], [0, 7], [0, 7], [0, 7]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[0, 7], [0, 7], [0, 7], [0, 7]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 7], [0, 7], [0, 7], [0, 7]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 7], [0, 5], [0, 6], [0, 7]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 7], [0, 5], [0, 7], [0, 7]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 7], [0, 5], [0, 7], [0, 6]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 7], [0, 5], [0, 7], [0, 7]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[0, 7], [0, 7], [0, 7], [0, 7]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[0, 7], [0, 7], [0, 7], [0, 7]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 7], [0, 7], [0, 5]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 6], [0, 6], [0, 7], [0, 7], [0, 6]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 6], [0, 7], [0, 7], [0, 7], [0, 6]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 7], [0, 7], [0, 5]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 6], [0, 6], [0, 7], [0, 7], [0, 6]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 6], [0, 7], [0, 7], [0, 7], [0, 6]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 5], [0, 7], [0, 5], [0, 7], [0, 5]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 6], [0, 7], [0, 6], [0, 7], [0, 6]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 6], [0, 7], [0, 7], [0, 7], [0, 6]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 5], [0, 7], [0, 7], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 6], [0, 7], [0, 7], [0, 6], [0, 6]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 6], [0, 7], [0, 7], [0, 7], [0, 6]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 5], [0, 7], [0, 5], [0, 7], [0, 5]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 6], [0, 7], [0, 6], [0, 7], [0, 6]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 6], [0, 7], [0, 7], [0, 7], [0, 6]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 5], [0, 7], [0, 7], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 6], [0, 7], [0, 7], [0, 6], [0, 6]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 6], [0, 7], [0, 7], [0, 7], [0, 6]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 7], [0, 5], [0, 5], [0, 7], [0, 5]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 7], [0, 6], [0, 6], [0, 7], [0, 6]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 7], [0, 6], [0, 7], [0, 7], [0, 6]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 7], [0, 5], [0, 7], [0, 5], [0, 5]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 7], [0, 6], [0, 7], [0, 6], [0, 6]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 7], [0, 6], [0, 7], [0, 7], [0, 6]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.row_and_col_separation&#34;, &#34;strategy_class&#34;: &#34;RowColumnSeparationStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;inferrable&#34;: true, &#34;possibly_empty&#34;: false, &#34;workable&#34;: true}}]}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;EquivalencePathRule&#34;, &#34;rules&#34;: [{&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 7]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, 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1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[1, 2], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[1, 2], [1, 1], [1, 2], [1, 1], [1, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2], [1, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 4]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.row_and_col_separation&#34;, &#34;strategy_class&#34;: &#34;RowColumnSeparationStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;inferrable&#34;: true, &#34;possibly_empty&#34;: false, &#34;workable&#34;: true}}]}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;EquivalencePathRule&#34;, &#34;rules&#34;: [{&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: 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[[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 2], [0, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_placement&#34;, &#34;strategy_class&#34;: &#34;RequirementPlacementStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}], &#34;indices&#34;: [0], &#34;direction&#34;: 2, &#34;own_col&#34;: true, &#34;own_row&#34;: true, &#34;include_empty&#34;: false}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [2, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [2, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [2, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [2, 5]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 4], [1, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 0], [2, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 0], [2, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 0], [2, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 3], [2, 5]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 5], [2, 5]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 4], [1, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 5], [2, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 5], [2, 5]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 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[[0, 1], [0, 2], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 2], [0, 1]]}], &#34;requirements&#34;: 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1], [0, 2], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 2], [0, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.row_and_col_separation&#34;, &#34;strategy_class&#34;: &#34;RowColumnSeparationStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;inferrable&#34;: true, &#34;possibly_empty&#34;: false, &#34;workable&#34;: true}}]}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;EquivalencePathRule&#34;, &#34;rules&#34;: [{&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, 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0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 2], [0, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.row_and_col_separation&#34;, &#34;strategy_class&#34;: &#34;RowColumnSeparationStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;inferrable&#34;: true, &#34;possibly_empty&#34;: false, &#34;workable&#34;: true}}]}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;EquivalencePathRule&#34;, &#34;rules&#34;: [{&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: 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1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [1, 2], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [1, 2], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [1, 2], [1, 2], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [1, 3], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [1, 3], [1, 2], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 2], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 2], [1, 2], [1, 1]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 2], [0, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.obstruction_inferral&#34;, &#34;strategy_class&#34;: &#34;ObstructionInferralStrategy&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [1, 3], [1, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 2], [1, 3], [1, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 3], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [1, 2], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [1, 3], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [1, 2], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [1, 3], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [1, 1], [1, 2], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [1, 1], [1, 3], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [1, 2], [1, 2], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [1, 2], [1, 3], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 2], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 2], [1, 2], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [1, 2], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [1, 2], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [1, 2], [1, 2], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [1, 3], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [1, 3], [1, 2], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 2], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 2], [1, 2], [1, 1]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 2], [0, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, 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[0, 4], [0, 3], [1, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 4], [0, 4], [1, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 4], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 4], [1, 4], [1, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [1, 4], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [1, 4], [1, 4], [1, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [1, 6], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [1, 6], [1, 4], [1, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 3], [1, 4], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 3], [1, 4], [1, 4], [1, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}, 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[0, 4], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 3], [0, 4], [0, 3], [0, 4], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 3], [0, 4], [0, 4], [0, 4], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 4], [0, 4], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 4], [0, 4], [0, 4], [0, 3]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 4], [0, 3], [0, 4], [0, 3]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 4], [0, 4], [0, 4], [0, 3]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 4], [0, 4], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 4], [0, 4], [0, 4], [0, 3]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 4], [0, 3], [0, 3], [0, 4], [0, 3]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 4], [0, 3], [0, 4], [0, 4], [0, 3]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 3], [0, 4], [0, 3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 3], [0, 4], [0, 4], [0, 3]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 6]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 5]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.row_and_col_separation&#34;, &#34;strategy_class&#34;: &#34;RowColumnSeparationStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;inferrable&#34;: true, &#34;possibly_empty&#34;: false, &#34;workable&#34;: true}}]}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;EquivalencePathRule&#34;, &#34;rules&#34;: [{&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: 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{&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [2, 0], [2, 3], [2, 2], [2, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 3], [0, 4], [0, 3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 4], [2, 0], [2, 2], [2, 0], [2, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 4], [2, 0], [2, 2], [2, 2], [2, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[2, 2], [2, 0], [2, 2], [2, 0], [2, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[2, 2], [2, 0], [2, 2], [2, 2], [2, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[2, 3], [2, 0], [2, 2], [2, 0], [2, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[2, 3], [2, 0], [2, 2], [2, 2], [2, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[2, 4], [2, 0], [2, 2], [2, 0], [2, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[2, 4], [2, 0], [2, 2], [2, 2], [2, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_placement&#34;, &#34;strategy_class&#34;: &#34;RequirementPlacementStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], &#34;indices&#34;: [0], &#34;direction&#34;: 2, &#34;own_col&#34;: true, &#34;own_row&#34;: true, &#34;include_empty&#34;: false}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 3], [2, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 4], [2, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 4], [2, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 4], [2, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 4], [2, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 4], [2, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 2], [2, 2], [3, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 2], [2, 3], [3, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 2], [2, 4], [3, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 4], [2, 2], [3, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 2], [2, 2], [3, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 3], [2, 2], [3, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 4], [2, 2], [3, 2]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 3], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 3], [0, 4], [0, 4], [2, 4]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 3], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 3], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 3], [0, 4], [0, 4], [2, 4]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 2], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 3], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 4], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [3, 2], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 2], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 3], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 4], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 2], [3, 2], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [3, 0], [3, 2], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [3, 2], [3, 2], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 2], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[3, 0], [3, 2], [3, 2], [3, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 3], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 2], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 2], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 2], [3, 2], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 3], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 3], [2, 2], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 3], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 3], [3, 2], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 4], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 4], [2, 2], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 4], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 4], [3, 2], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [3, 2], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[3, 0], [3, 2], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 3], [2, 2]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 4], [2, 2]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[2, 2], [2, 3], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[2, 2], [2, 4], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 3], [2, 2]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 4], [2, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 2], [2, 3], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 2], [2, 4], [2, 2], [2, 2]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 4], [0, 3], [0, 4], [0, 4]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 4], [0, 3], [0, 4], [0, 4]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 4], [2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 4], [2, 0], [2, 2], [3, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 4], [2, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 4], [2, 0], [3, 2], [3, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[2, 4], [2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[2, 4], [2, 0], [2, 2], [3, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[2, 4], [2, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[2, 4], [2, 0], [3, 2], [3, 0]]}, {&#34;patt&#34;: [3, 1, 2, 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{&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[2, 2], [2, 0], [2, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[2, 2], [2, 0], [2, 2], [2, 2], [2, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[2, 3], [2, 0], [2, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[2, 3], [2, 0], [2, 2], [2, 2], [2, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [2, 0], [2, 2], [2, 0], [2, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [2, 0], [2, 2], [2, 2], [2, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[2, 2], [2, 0], [2, 2], [2, 0], [2, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[2, 2], [2, 0], [2, 2], [2, 2], [2, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[2, 3], [2, 0], [2, 2], [2, 0], [2, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[2, 3], [2, 0], [2, 2], [2, 2], [2, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_placement&#34;, &#34;strategy_class&#34;: &#34;RequirementPlacementStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], &#34;indices&#34;: [0], &#34;direction&#34;: 2, &#34;own_col&#34;: true, &#34;own_row&#34;: true, &#34;include_empty&#34;: false}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, 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0, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_placement&#34;, &#34;strategy_class&#34;: &#34;RequirementPlacementStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}], &#34;indices&#34;: [0], &#34;direction&#34;: 0, &#34;own_col&#34;: true, &#34;own_row&#34;: true, &#34;include_empty&#34;: false}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: 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2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 4], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 4], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 4], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 4], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 4], [0, 2], [0, 2], [0, 4], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 4], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 2], [0, 4], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 4], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 3]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.row_and_col_separation&#34;, &#34;strategy_class&#34;: &#34;RowColumnSeparationStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;inferrable&#34;: true, &#34;possibly_empty&#34;: false, &#34;workable&#34;: true}}]}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;EquivalencePathRule&#34;, &#34;rules&#34;: [{&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], 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[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 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&#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.row_and_col_separation&#34;, &#34;strategy_class&#34;: &#34;RowColumnSeparationStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;inferrable&#34;: true, &#34;possibly_empty&#34;: false, &#34;workable&#34;: true}}, &#34;idx&#34;: 0}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;ReverseRule&#34;, &#34;original_rule&#34;: {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: 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{&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 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[0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: 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1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 1], [0, 3], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 3], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, 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[[0, 3], [0, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 3], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 3], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 3], [0, 1], [0, 1]]}, {&#34;patt&#34;: 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{&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 1], [0, 3], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 3], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.row_and_col_separation&#34;, &#34;strategy_class&#34;: &#34;RowColumnSeparationStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;inferrable&#34;: true, &#34;possibly_empty&#34;: false, &#34;workable&#34;: true}}]}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;EquivalencePathRule&#34;, &#34;rules&#34;: [{&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;ReverseRule&#34;, &#34;original_rule&#34;: {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, 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&#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 2], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 2], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 2], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [2, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 0], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 4], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 4]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 4], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 4], [0, 1], [0, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 4], [0, 1], [0, 4]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 2], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 2], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 2], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], 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3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 5], [0, 3], [0, 4], [0, 4], [0, 3]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 5], [0, 3], [0, 5], [0, 3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 5], [0, 3], [0, 5], [0, 4], [0, 3]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 5]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.row_and_col_separation&#34;, &#34;strategy_class&#34;: &#34;RowColumnSeparationStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;inferrable&#34;: true, &#34;possibly_empty&#34;: false, &#34;workable&#34;: true}}]}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;EquivalencePathRule&#34;, &#34;rules&#34;: [{&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, 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&#34;strategy_class&#34;: &#34;RowColumnSeparationStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;inferrable&#34;: true, &#34;possibly_empty&#34;: false, &#34;workable&#34;: true}}]}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;EquivalencePathRule&#34;, &#34;rules&#34;: [{&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: 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0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.row_and_col_separation&#34;, &#34;strategy_class&#34;: &#34;RowColumnSeparationStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;inferrable&#34;: true, &#34;possibly_empty&#34;: false, &#34;workable&#34;: true}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], 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&#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 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[0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 4], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 4], [0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 1], [0, 2], [0, 2], [0, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [2, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [3, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 3], [2, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 3], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 3], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [2, 2], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 3], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [2, 2], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [2, 1], [2, 2], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [2, 2], [2, 2], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 2], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 1], [2, 2], [2, 2], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [2, 2], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 2], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [2, 2], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [2, 2], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 1], [2, 2], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[0, 3], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[0, 3], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 3], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 3], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 3], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 3], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 3], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 3], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 3], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 3], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 2], [0, 2], [0, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.obstruction_inferral&#34;, &#34;strategy_class&#34;: &#34;ObstructionInferralStrategy&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}]}}]}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;EquivalencePathRule&#34;, &#34;rules&#34;: [{&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;ReverseRule&#34;, &#34;original_rule&#34;: {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 4], [2, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 4], [3, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 4], [3, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 4], [2, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 4], [3, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 4], [2, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 4], [3, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 4], [3, 4]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 4], [2, 4]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 4], [3, 4]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 4], [0, 4]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 2], [2, 2], [3, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 2], [2, 4], [3, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 2], [3, 4], [3, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 2], [3, 4], [3, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 4], [0, 3], [0, 4]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 4], [2, 2], [3, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 4], [3, 2], [3, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 2], [2, 2], [3, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 4], [2, 2], [3, 2]]}, {&#34;patt&#34;: [2, 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{&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[1, 3], [3, 0], [3, 2], [3, 2], [3, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[3, 2], [3, 0], [3, 0], [3, 2], [3, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[3, 2], [3, 0], [3, 2], [3, 2], [3, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 4], [1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 4], [3, 0], [3, 2], [3, 0], [3, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 4], [3, 0], [3, 2], [3, 2], [3, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[1, 3], [3, 0], [3, 2], [3, 0], [3, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[1, 3], [3, 0], [3, 2], [3, 2], [3, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[3, 2], [3, 0], [3, 2], [3, 0], [3, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[3, 2], [3, 0], [3, 2], [3, 2], [3, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 5]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.row_and_col_separation&#34;, &#34;strategy_class&#34;: &#34;RowColumnSeparationStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;inferrable&#34;: true, &#34;possibly_empty&#34;: false, &#34;workable&#34;: true}}, &#34;idx&#34;: 0}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;ReverseRule&#34;, &#34;original_rule&#34;: {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, 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1], [1, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[1, 3], [1, 1], [1, 3], [1, 3], [1, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[1, 4], [1, 1], [1, 3], [1, 1], [1, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[1, 4], [1, 1], [1, 3], [1, 3], [1, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], 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&#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_placement&#34;, &#34;strategy_class&#34;: &#34;RequirementPlacementStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}], &#34;indices&#34;: [0], &#34;direction&#34;: 1, &#34;own_col&#34;: true, &#34;own_row&#34;: true, &#34;include_empty&#34;: false}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 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{&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 1], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 1], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 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&#34;tilings.strategies.requirement_placement&#34;, &#34;strategy_class&#34;: &#34;RequirementPlacementStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}], &#34;indices&#34;: [0], &#34;direction&#34;: 2, &#34;own_col&#34;: true, &#34;own_row&#34;: true, &#34;include_empty&#34;: false}}]}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;EquivalencePathRule&#34;, &#34;rules&#34;: [{&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 6]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], 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[0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 3], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [2, 3], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], 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{&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.row_and_col_separation&#34;, &#34;strategy_class&#34;: &#34;RowColumnSeparationStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;inferrable&#34;: true, &#34;possibly_empty&#34;: false, &#34;workable&#34;: true}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: 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{&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 4], [1, 0], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 4], [1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[1, 2], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[1, 2], [1, 0], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [1, 0], [1, 2], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 3], [0, 4], [0, 3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 4], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 4], [1, 0], [1, 2], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 4], [1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[1, 2], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[1, 2], [1, 0], [1, 2], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2], [1, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 5]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_placement&#34;, &#34;strategy_class&#34;: &#34;RequirementPlacementStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}], &#34;indices&#34;: [0], &#34;direction&#34;: 0, &#34;own_col&#34;: true, &#34;own_row&#34;: true, &#34;include_empty&#34;: false}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;ReverseRule&#34;, &#34;original_rule&#34;: {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], 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&#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_placement&#34;, &#34;strategy_class&#34;: &#34;RequirementPlacementStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], &#34;indices&#34;: [0], &#34;direction&#34;: 0, &#34;own_col&#34;: true, &#34;own_row&#34;: true, &#34;include_empty&#34;: false}}, &#34;idx&#34;: 0}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2]]}, {&#34;patt&#34;: 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[2, 2], [2, 2], [2, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [2, 0], [2, 2], [2, 0], [2, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [2, 0], [2, 2], [2, 2], [2, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 3], [0, 4], [0, 3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 4], [2, 0], [2, 2], [2, 0], [2, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 4], [2, 0], [2, 2], [2, 2], [2, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[2, 2], [2, 0], [2, 2], [2, 0], [2, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[2, 2], [2, 0], [2, 2], [2, 2], [2, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[2, 4], [2, 0], [2, 2], [2, 0], [2, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[2, 4], [2, 0], [2, 2], [2, 2], [2, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 4]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_placement&#34;, &#34;strategy_class&#34;: &#34;RequirementPlacementStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], &#34;indices&#34;: [0], &#34;direction&#34;: 2, &#34;own_col&#34;: true, &#34;own_row&#34;: true, &#34;include_empty&#34;: false}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], 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&#34;pos&#34;: [[0, 3], [0, 4], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 2], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 2], [2, 2], [2, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [2, 0], [2, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [2, 0], [2, 2], [2, 2], [2, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 4], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 4], [0, 3], [0, 3], [0, 4], [0, 3]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 4], [2, 0], [2, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 4], [2, 0], [2, 2], [2, 2], [2, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[2, 2], [2, 0], [2, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[2, 2], [2, 0], [2, 2], [2, 2], [2, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [2, 0], [2, 2], [2, 0], [2, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [2, 0], [2, 2], [2, 2], [2, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 3], [0, 4], [0, 3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 4], [2, 0], [2, 2], [2, 0], [2, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 4], [2, 0], [2, 2], [2, 2], [2, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[2, 2], [2, 0], [2, 2], [2, 0], [2, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[2, 2], [2, 0], [2, 2], [2, 2], [2, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 5]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.row_and_col_separation&#34;, &#34;strategy_class&#34;: &#34;RowColumnSeparationStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;inferrable&#34;: true, &#34;possibly_empty&#34;: false, &#34;workable&#34;: true}}]}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;EquivalencePathRule&#34;, &#34;rules&#34;: [{&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 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&#34;pos&#34;: [[1, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 2], [1, 2], [2, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 2], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 2], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [2, 2], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 2], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[3, 0], [3, 2], [3, 2], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [2, 2], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [2, 2], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[3, 0], [3, 2], [3, 0], [3, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_placement&#34;, &#34;strategy_class&#34;: &#34;RequirementPlacementStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], &#34;indices&#34;: [0], &#34;direction&#34;: 2, &#34;own_col&#34;: true, &#34;own_row&#34;: true, &#34;include_empty&#34;: false}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [3, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [3, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 2], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [3, 2], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 2], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [3, 2], [3, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 2], [1, 2], [2, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 2], [1, 2], [2, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 2], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 2], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [2, 2], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 2], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[3, 0], [3, 2], [3, 2], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [2, 2], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [2, 2], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[3, 0], [3, 2], [3, 0], [3, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 3], [3, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 2], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [3, 3], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 2], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [3, 3], [3, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 2], [1, 2], [2, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 2], [1, 2], [2, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 2], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 2], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [2, 2], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 3], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[3, 0], [3, 3], [3, 3], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [2, 2], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [2, 2], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[3, 0], [3, 3], [3, 0], [3, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.row_and_col_separation&#34;, &#34;strategy_class&#34;: &#34;RowColumnSeparationStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;inferrable&#34;: true, &#34;possibly_empty&#34;: false, 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{&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 3], [3, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [2, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [2, 3], [2, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [2, 3], [3, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [2, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [3, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 3], [2, 3], [2, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 3], [2, 3], [3, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [2, 2], [2, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [2, 2], [2, 3], [2, 2]]}, {&#34;patt&#34;: [0, 2, 3, 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[0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 3], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 3], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 3], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 3], [0, 3], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 3], [0, 3], [0, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_placement&#34;, &#34;strategy_class&#34;: &#34;RequirementPlacementStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}], &#34;indices&#34;: [0], &#34;direction&#34;: 0, &#34;own_col&#34;: true, &#34;own_row&#34;: true, &#34;include_empty&#34;: false}}, &#34;idx&#34;: 0}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 4], [0, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 2], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], 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{&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[0, 4], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 3], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 3], [0, 3], [1, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 3], [0, 4], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 3], [0, 4], [1, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 3], [1, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 4], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 4], [1, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 3], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 3], [0, 3], [1, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 4], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 4], [0, 3], [1, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 3], [1, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 4], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 4], [0, 3], [1, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 3], [1, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 4], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 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{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 6]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 6]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 6], [0, 6]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 6], [0, 6]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [3, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [3, 0], [3, 0]]}, 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5], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 5], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 5], [0, 3], [0, 5], [0, 3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_placement&#34;, &#34;strategy_class&#34;: &#34;RequirementPlacementStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}], &#34;indices&#34;: [0], &#34;direction&#34;: 0, &#34;own_col&#34;: true, &#34;own_row&#34;: true, &#34;include_empty&#34;: false}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: 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2], [2, 0], [2, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[2, 2], [2, 0], [2, 2], [2, 2], [2, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[2, 3], [2, 0], [2, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[2, 3], [2, 0], [2, 2], [2, 2], [2, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [2, 0], [2, 2], [2, 0], [2, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [2, 0], [2, 2], [2, 2], [2, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[2, 2], [2, 0], [2, 2], [2, 0], [2, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[2, 2], [2, 0], [2, 2], [2, 2], [2, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[2, 3], [2, 0], [2, 2], [2, 0], [2, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[2, 3], [2, 0], [2, 2], [2, 2], [2, 0]]}], &#34;requirements&#34;: 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{&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [2, 2], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [2, 2], [2, 2], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 1], [2, 2], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 1], [2, 2], [2, 2], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 1, 2, 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{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [3, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [3, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [5, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [4, 0], [5, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [5, 0], [5, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[4, 0], [4, 0], [5, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[4, 0], [5, 0], [5, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [3, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [3, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [3, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: 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&#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_placement&#34;, &#34;strategy_class&#34;: &#34;RequirementPlacementStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], &#34;indices&#34;: [0], &#34;direction&#34;: 2, &#34;own_col&#34;: true, &#34;own_row&#34;: true, &#34;include_empty&#34;: false}}]}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;EquivalencePathRule&#34;, &#34;rules&#34;: [{&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: 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[[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 2], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 2], [1, 2], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 2], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 2], [1, 2], [1, 1]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 3], [1, 0], [1, 1], [1, 3]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 3], [1, 0], [1, 2], [1, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [1, 0], [1, 3], [1, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [1, 0], [1, 3], [1, 2]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[0, 3], [1, 2], [1, 3], [1, 2]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[0, 3], [1, 3], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [1, 3]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [1, 3]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [1, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [1, 3]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, 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[3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[3, 0], [3, 2], [3, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 2], [3, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 3], [3, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 3], [3, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 2], [3, 3], [3, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 3], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [2, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [3, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], 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2], [3, 2], [3, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[3, 1], [3, 2], [3, 3], [3, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [2, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [3, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [2, 3], [3, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [2, 3], [2, 3], [3, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3], [3, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[3, 0], [3, 1], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[3, 0], [3, 2], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[3, 0], [3, 3], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[3, 1], [3, 2], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[3, 1], [3, 2], [3, 2], [3, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[3, 1], [3, 3], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[3, 1], [3, 3], [3, 2], [3, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 5]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_placement&#34;, &#34;strategy_class&#34;: &#34;RequirementPlacementStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}], &#34;indices&#34;: [0], &#34;direction&#34;: 1, &#34;own_col&#34;: true, &#34;own_row&#34;: true, &#34;include_empty&#34;: false}}]}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;EquivalencePathRule&#34;, &#34;rules&#34;: [{&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 2], [0, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [2, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [2, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 0], [2, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 0], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [2, 2], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [2, 2], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [2, 1], [2, 2], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [2, 2], [2, 2], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 2], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 1], [2, 2], [2, 2], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [2, 2], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [2, 2], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [2, 2], [2, 2], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 1], [2, 2], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 1], [2, 2], [2, 2], [2, 1]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 2], [0, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_placement&#34;, &#34;strategy_class&#34;: &#34;RequirementPlacementStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}], &#34;indices&#34;: [0], &#34;direction&#34;: 1, &#34;own_col&#34;: true, &#34;own_row&#34;: true, &#34;include_empty&#34;: false}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, 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[0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 2], [0, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.row_and_col_separation&#34;, &#34;strategy_class&#34;: &#34;RowColumnSeparationStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;inferrable&#34;: true, &#34;possibly_empty&#34;: false, &#34;workable&#34;: true}}]}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;EquivalencePathRule&#34;, &#34;rules&#34;: [{&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 3], [2, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 4], [2, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 4], [2, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 4], [2, 4]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 0], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 0], [2, 1], [2, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 0], [2, 1], [2, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 0], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 0], [2, 2], [2, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 3], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 3], [2, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 2], [2, 3], [2, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 3], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [1, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [2, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [1, 3], [2, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [1, 3], [1, 3], [2, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [2, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 3], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 2], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 3], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 1], [2, 2], [2, 2], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 1], [2, 2], [2, 3], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [1, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [2, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [1, 3], [2, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [1, 3], [1, 3], [2, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [2, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 3], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 1], [2, 2], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 1], [2, 2], [2, 2], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 1], [2, 3], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 1], [2, 3], [2, 2], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 0], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 0], [2, 1], [2, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 0], [2, 1], [2, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 0], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 0], [2, 2], [2, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 3], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 3], [2, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 2], [2, 3], [2, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 3], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [1, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [2, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [1, 3], [2, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [1, 3], [1, 3], [2, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [2, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 3], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 2], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 3], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 1], [2, 2], [2, 2], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 1], [2, 2], [2, 3], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [1, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [2, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [1, 3], [2, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [1, 3], [1, 3], [2, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [2, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 3], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 1], [2, 2], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 1], [2, 2], [2, 2], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 1], [2, 3], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 1], [2, 3], [2, 2], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.obstruction_inferral&#34;, &#34;strategy_class&#34;: &#34;ObstructionInferralStrategy&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 0], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 0], [2, 1], [2, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 0], [2, 1], [2, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 0], [2, 2], [2, 2]]}, 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{&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 3], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 3], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 2], [0, 2], [0, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.obstruction_inferral&#34;, &#34;strategy_class&#34;: &#34;ObstructionInferralStrategy&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], 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1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 2], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 3], [0, 2]]}, 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4, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 3], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 3], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 3], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 2], [0, 2], [0, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 4]]}, {&#34;patt&#34;: [0], 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{&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 4], [0, 4], [0, 4], [0, 3]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 5], [0, 3], [0, 4], [0, 3]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 5], [0, 4], [0, 4], [0, 3]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 4], [0, 4], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 4], [0, 4], [0, 4], [0, 3]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 5], [0, 4], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 5], [0, 4], [0, 4], [0, 3]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 4], [0, 1], [0, 1], [0, 4], [0, 1]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 4], [0, 3], [0, 3], [0, 4], [0, 3]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 4], [0, 3], [0, 4], [0, 4], [0, 3]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 5], [0, 3], [0, 3], [0, 4], [0, 3]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 5], [0, 3], [0, 4], [0, 4], [0, 3]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 1], [0, 4], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 3], [0, 4], [0, 3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 3], [0, 4], [0, 4], [0, 3]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 5], [0, 3], [0, 4], [0, 3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 5], [0, 3], [0, 4], [0, 4], [0, 3]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 5]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_placement&#34;, &#34;strategy_class&#34;: &#34;RequirementPlacementStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}], &#34;indices&#34;: [0], &#34;direction&#34;: 0, &#34;own_col&#34;: true, &#34;own_row&#34;: true, &#34;include_empty&#34;: false}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: 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&#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [1, 3]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [1, 3]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [1, 3]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [1, 3]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [1, 3]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [1, 3]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 3], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 3], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 3], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 3], [0, 3], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [1, 0], [1, 0], [1, 3], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 3], [0, 3], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [1, 0], [1, 3], [1, 0], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 3], [0, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 5], [2, 5]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 5], [3, 5]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 5], [3, 5]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 5], [2, 5]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 5], [3, 5]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [3, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 5], [2, 5]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 5], [3, 5]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 5], [3, 5]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 5], [2, 5]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 5], [3, 5]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 2], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [3, 2], [3, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 5], [0, 3], [0, 5]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 2], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[3, 0], [3, 2], [3, 2], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[3, 0], [3, 2], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 5], [0, 5], [0, 4]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 4], [0, 5], [0, 5], [0, 5], [0, 4]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 5], [0, 5], [0, 4]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 4], [0, 5], [0, 5], [0, 5], [0, 4]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 4], [0, 5], [0, 4], [0, 5], [0, 4]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 4], [0, 5], [0, 5], [0, 5], [0, 4]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 4], [0, 5], [0, 5], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 4], [0, 5], [0, 5], [0, 5], [0, 4]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 4], [0, 5], [0, 4], [0, 5], [0, 4]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 4], [0, 5], [0, 5], [0, 5], [0, 4]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 5], [0, 5], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 5], [0, 5], [0, 5], [0, 4]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 5], [0, 4], [0, 4], [0, 5], [0, 4]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 5], [0, 4], [0, 5], [0, 5], [0, 4]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 5], [0, 4], [0, 5], [0, 4], [0, 4]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 5], [0, 4], [0, 5], [0, 5], [0, 4]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 5]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_placement&#34;, &#34;strategy_class&#34;: &#34;RequirementPlacementStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], &#34;indices&#34;: [0], &#34;direction&#34;: 2, &#34;own_col&#34;: true, &#34;own_row&#34;: true, &#34;include_empty&#34;: false}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 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{&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 4], [0, 5], [0, 4], [0, 5], [0, 4]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 4], [0, 5], [0, 5], [0, 5], [0, 4]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 5], [0, 5], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 5], [0, 5], [0, 5], [0, 4]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 5], [0, 4], [0, 4], [0, 5], [0, 4]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 5], [0, 4], [0, 5], [0, 5], [0, 4]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 5], [0, 4], [0, 5], [0, 4], [0, 4]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 5], [0, 4], [0, 5], [0, 5], [0, 4]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 5]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: 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&#34;pos&#34;: [[0, 5], [0, 5], [0, 6], [0, 6], [0, 5]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 5], [0, 6], [0, 6], [0, 6], [0, 5]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 6], [0, 6], [0, 5]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 5], [0, 6], [0, 6], [0, 6], [0, 5]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 5], [0, 6], [0, 5], [0, 6], [0, 5]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 5], [0, 6], [0, 6], [0, 6], [0, 5]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 5], [0, 6], [0, 6], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 5], [0, 6], [0, 6], [0, 6], [0, 5]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 5], [0, 6], [0, 5], [0, 6], [0, 5]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 5], [0, 6], [0, 6], [0, 6], [0, 5]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 5], [0, 6], [0, 6], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 5], [0, 6], [0, 6], [0, 6], [0, 5]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 6], [0, 5], [0, 5], [0, 6], [0, 5]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 6], [0, 5], [0, 6], [0, 6], [0, 5]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 6], [0, 5], [0, 6], [0, 5], [0, 5]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 6], [0, 5], [0, 6], [0, 6], [0, 5]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 7]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.row_and_col_separation&#34;, &#34;strategy_class&#34;: &#34;RowColumnSeparationStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;inferrable&#34;: true, &#34;possibly_empty&#34;: false, &#34;workable&#34;: true}}]}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: 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{&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 5], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 5], [1, 1], [1, 2], [1, 1], [1, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 5], [1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[1, 2], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[1, 2], [1, 1], [1, 2], [1, 1], [1, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2], [1, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 4]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.row_and_col_separation&#34;, &#34;strategy_class&#34;: &#34;RowColumnSeparationStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;inferrable&#34;: true, &#34;possibly_empty&#34;: 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[[1, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.row_and_col_separation&#34;, &#34;strategy_class&#34;: &#34;RowColumnSeparationStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;inferrable&#34;: true, &#34;possibly_empty&#34;: false, &#34;workable&#34;: true}}]}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;EquivalencePathRule&#34;, &#34;rules&#34;: [{&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 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2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 5], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 5], [0, 3], [0, 5], [0, 3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 5]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.row_and_col_separation&#34;, &#34;strategy_class&#34;: &#34;RowColumnSeparationStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;inferrable&#34;: true, &#34;possibly_empty&#34;: false, &#34;workable&#34;: true}}]}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;EquivalencePathRule&#34;, &#34;rules&#34;: [{&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, 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{&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 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[0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 4], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 4], [0, 4], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 4], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 4], [0, 3], [0, 3], [0, 4], [0, 3]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 3], [0, 4], [0, 3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 5]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.row_and_col_separation&#34;, &#34;strategy_class&#34;: &#34;RowColumnSeparationStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;inferrable&#34;: true, &#34;possibly_empty&#34;: false, &#34;workable&#34;: true}}]}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;EquivalencePathRule&#34;, &#34;rules&#34;: [{&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: 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0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 3], [0, 3], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 4], [0, 2], [0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [4, 0, 2, 3, 1], &#34;pos&#34;: [[0, 4], [0, 2], [0, 3], [0, 3], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 3], [0, 3], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 2], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 2], [0, 3], [0, 3], [0, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 0], [5, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[4, 1], [4, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 4], [0, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[4, 1], [4, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [5, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [5, 0], [5, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 3], [0, 3], [1, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 3], [0, 4], [1, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 3], [0, 3], [1, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 4], [0, 3], [1, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], 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{&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 4], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 4], [0, 3], [1, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 4], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 4], [1, 3], [1, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [1, 3], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 2], [1, 3], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[5, 0], [5, 0], [5, 0], [5, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 2, 3, 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{&#34;class_module&#34;: &#34;tilings.strategies.requirement_placement&#34;, &#34;strategy_class&#34;: &#34;RequirementPlacementStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}], &#34;indices&#34;: [0], &#34;direction&#34;: 0, &#34;own_col&#34;: true, &#34;own_row&#34;: true, &#34;include_empty&#34;: false}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;ReverseRule&#34;, &#34;original_rule&#34;: {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 2]]}, 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&#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 3], [2, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 4], [2, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 4], [2, 3]]}, {&#34;patt&#34;: 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4], [2, 2], [3, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 4], [3, 2], [3, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 2], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 3], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 4], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [3, 2], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 2], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 3], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 4], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 2], [3, 2], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [3, 0], [3, 2], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [3, 2], [3, 2], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 2], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[3, 0], [3, 2], [3, 2], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 2], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 2], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 2], [3, 2], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 3], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 3], [2, 2], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 3], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 3], [3, 2], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 4], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 4], [2, 2], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 4], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 4], [3, 2], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [3, 2], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [3, 2], [3, 2], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[3, 0], [3, 2], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[3, 0], [3, 2], [3, 2], [3, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 3], [2, 2]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 4], [2, 2]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[2, 2], [2, 3], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[2, 2], [2, 4], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 3], [2, 2]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 4], [2, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 2], [2, 3], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 2], [2, 4], [2, 2], [2, 2]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[0, 3], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[0, 3], [2, 2], [2, 3], [2, 2]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[0, 4], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[0, 4], [2, 2], [2, 3], [2, 2]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[0, 4], [2, 2], [2, 4], [2, 2]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[2, 3], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[2, 4], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[0, 3], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[0, 3], 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{&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [2, 4]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 2], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 3], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 4], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 2], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 3], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 4], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [2, 3]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 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2], [2, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [2, 0], [2, 3], [2, 0], [2, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [2, 0], [2, 3], [2, 2], [2, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 3], [0, 4], [0, 3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 4], [2, 0], [2, 2], [2, 0], [2, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 4], [2, 0], [2, 2], [2, 2], [2, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 6], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 6], [0, 3], [0, 4], [0, 3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 6], [0, 3], [0, 6], [0, 3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 6], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 6], [0, 4], [0, 6], [0, 4], [0, 4]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 6], [0, 6], [0, 6], [0, 6], [0, 6]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 6], [2, 0], [2, 2], [2, 0], [2, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 6], [2, 0], [2, 2], [2, 2], [2, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[2, 2], [2, 0], [2, 2], [2, 0], [2, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[2, 2], [2, 0], [2, 2], [2, 2], [2, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[2, 3], [2, 0], [2, 2], [2, 0], [2, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[2, 3], [2, 0], [2, 2], [2, 2], [2, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[2, 5], [2, 0], [2, 2], [2, 0], [2, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[2, 5], [2, 0], [2, 2], [2, 2], [2, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[2, 7], [2, 0], [2, 2], [2, 0], [2, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[2, 7], [2, 0], [2, 2], [2, 2], [2, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 6]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 7]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.row_and_col_separation&#34;, &#34;strategy_class&#34;: &#34;RowColumnSeparationStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;inferrable&#34;: true, &#34;possibly_empty&#34;: false, &#34;workable&#34;: true}}]}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;EquivalencePathRule&#34;, &#34;rules&#34;: [{&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;ReverseRule&#34;, &#34;original_rule&#34;: {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 5]]}, {&#34;patt&#34;: [0], 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{&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[1, 3], [2, 0], [2, 1], [2, 0], [2, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[1, 3], [2, 0], [2, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[2, 1], [2, 0], [2, 1], [2, 0], [2, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[2, 1], [2, 0], [2, 1], [2, 1], [2, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 6]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.row_and_col_separation&#34;, &#34;strategy_class&#34;: &#34;RowColumnSeparationStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;inferrable&#34;: true, &#34;possibly_empty&#34;: false, &#34;workable&#34;: true}}, &#34;idx&#34;: 0}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;ReverseRule&#34;, 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2, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1], [0, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [], &#34;pos&#34;: []}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [1, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 3], [1, 2]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[1, 2], [1, 3], [1, 3], [1, 2]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[1, 2], [1, 3], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[1, 2], [1, 3], [1, 3], [1, 2]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 3], [1, 2]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[1, 3], [1, 2], [1, 3], [1, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 2], [1, 3], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 2], [1, 2]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[1, 3], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[1, 3], [1, 2], [1, 3], [1, 2]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[1, 3], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 2], [1, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [], &#34;pos&#34;: []}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [], &#34;pos&#34;: []}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_placement&#34;, &#34;strategy_class&#34;: &#34;RequirementPlacementStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}], &#34;indices&#34;: [0, 0, 0], &#34;direction&#34;: 2, &#34;own_col&#34;: true, &#34;own_row&#34;: true, &#34;include_empty&#34;: true}}}]}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;EquivalencePathRule&#34;, &#34;rules&#34;: [{&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;EquivalenceRule&#34;, &#34;original_rule&#34;: {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 2], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [0, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 3], [0, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 3], [0, 3], [0, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 3], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 3], [0, 2], [0, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 3], [0, 3], [0, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 2]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 2]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[0, 3], [0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 3], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[0, 3], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[0, 3], [0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[0, 3], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[0, 3], [0, 3], [0, 2], [0, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: 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{&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[1, 4], [1, 4], [1, 4]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 2], [1, 3], [1, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 2], [1, 4], [1, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 3], [1, 4], [1, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 4], [1, 4], [1, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 4], [1, 4], [1, 4]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 4], [1, 4], [1, 4]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 3], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 4], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 4], [1, 3], [1, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 4], [1, 4], [1, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 4], [1, 4], [1, 4]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 4], [1, 3]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[1, 3], [1, 4], [1, 4], [1, 3]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[1, 3], [1, 4], [1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[1, 3], [1, 4], [1, 4], [1, 3]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 4], [1, 3]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[1, 4], [1, 3], [1, 4], [1, 3]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 3], [1, 4], [1, 3], [1, 3]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 4], [1, 4], [1, 3], [1, 3]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[1, 4], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[1, 4], [1, 3], [1, 4], [1, 3]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[1, 4], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[1, 4], [1, 4], [1, 3], [1, 3]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [], &#34;pos&#34;: []}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [], &#34;pos&#34;: []}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [], &#34;pos&#34;: []}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_placement&#34;, &#34;strategy_class&#34;: &#34;RequirementPlacementStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}], &#34;indices&#34;: [0, 0, 0, 0], &#34;direction&#34;: 2, &#34;own_col&#34;: true, &#34;own_row&#34;: true, &#34;include_empty&#34;: true}}}]}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;EquivalencePathRule&#34;, &#34;rules&#34;: [{&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 3], [2, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [2, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_placement&#34;, &#34;strategy_class&#34;: &#34;RequirementPlacementStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], &#34;indices&#34;: [0], &#34;direction&#34;: 1, &#34;own_col&#34;: true, &#34;own_row&#34;: true, &#34;include_empty&#34;: false}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 3], [2, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [2, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 5]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 4], [2, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 5], [0, 5]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 5], [2, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 4], [2, 4]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 0], [2, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.row_and_col_separation&#34;, &#34;strategy_class&#34;: &#34;RowColumnSeparationStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;inferrable&#34;: true, &#34;possibly_empty&#34;: false, &#34;workable&#34;: true}}]}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;EquivalencePathRule&#34;, &#34;rules&#34;: [{&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 4], [2, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 4], [2, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 4], [0, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 4], [2, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 4], [2, 4]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 2], [2, 3], [2, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 3], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [2, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 3], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 3], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [2, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 3], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 3], [2, 2], [2, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_placement&#34;, &#34;strategy_class&#34;: &#34;RequirementPlacementStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], &#34;indices&#34;: [0], &#34;direction&#34;: 2, &#34;own_col&#34;: true, &#34;own_row&#34;: true, &#34;include_empty&#34;: false}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 4], [2, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 4], [2, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 4], [0, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 4], [2, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 4], [2, 4]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 2], [2, 3], [2, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 3], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [2, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 3], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 3], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [2, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 3], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 3], [2, 2], [2, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 5]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 4], [2, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 5], [0, 5]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 5], [2, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 4], [2, 4]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 2], [2, 3], [2, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 3], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [2, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 3], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 3], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [2, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 3], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 3], [2, 2], [2, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.row_and_col_separation&#34;, &#34;strategy_class&#34;: &#34;RowColumnSeparationStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;inferrable&#34;: true, &#34;possibly_empty&#34;: false, &#34;workable&#34;: true}}]}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;EquivalencePathRule&#34;, &#34;rules&#34;: [{&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 0], [2, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_placement&#34;, &#34;strategy_class&#34;: &#34;RequirementPlacementStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], &#34;indices&#34;: [0], &#34;direction&#34;: 2, &#34;own_col&#34;: true, &#34;own_row&#34;: true, &#34;include_empty&#34;: false}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 0], [2, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 3], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 3], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 3], [2, 3], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 3], [2, 0], [2, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.row_and_col_separation&#34;, &#34;strategy_class&#34;: &#34;RowColumnSeparationStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;inferrable&#34;: true, &#34;possibly_empty&#34;: false, &#34;workable&#34;: true}}]}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;EquivalencePathRule&#34;, &#34;rules&#34;: [{&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 2], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [2, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [2, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 0], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 0], [2, 1], [2, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 0], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [2, 2], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 2], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 1], [2, 2], [2, 2], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 1], [2, 2], [2, 1], [2, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_placement&#34;, &#34;strategy_class&#34;: &#34;RequirementPlacementStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}], &#34;indices&#34;: [0], &#34;direction&#34;: 1, &#34;own_col&#34;: true, &#34;own_row&#34;: true, &#34;include_empty&#34;: false}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [2, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [2, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 0], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 0], [2, 1], [2, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 0], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [2, 2], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 2], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 1], [2, 2], [2, 2], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 1], [2, 2], [2, 1], [2, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [3, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [3, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 4], [2, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 4], [2, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 3], [3, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[3, 0], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[3, 0], [3, 1], [3, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[3, 0], [3, 3], [3, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [3, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [3, 3], [3, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 3], [3, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 1], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 3], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[3, 1], [3, 1], [3, 3], [3, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[3, 1], [3, 3], [3, 3], [3, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[3, 0], [3, 1], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[3, 0], [3, 3], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[3, 1], [3, 3], [3, 1], [3, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.row_and_col_separation&#34;, &#34;strategy_class&#34;: &#34;RowColumnSeparationStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;inferrable&#34;: true, &#34;possibly_empty&#34;: false, &#34;workable&#34;: true}}]}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;EquivalencePathRule&#34;, &#34;rules&#34;: [{&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 2], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 2], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 1], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 5], [1, 5]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 5], [3, 5]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 5], [3, 5]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [3, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 5], [1, 5]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 5], [3, 5]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 5], [3, 5]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [3, 1], [3, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 4], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 1], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[3, 0], [3, 1], [3, 1], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 4], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[3, 0], [3, 1], [3, 0], [3, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 5]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_placement&#34;, &#34;strategy_class&#34;: &#34;RequirementPlacementStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}], &#34;indices&#34;: [0], &#34;direction&#34;: 0, &#34;own_col&#34;: true, &#34;own_row&#34;: true, &#34;include_empty&#34;: false}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 5], [1, 5]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 5], [3, 5]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 5], [3, 5]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [3, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 5], [1, 5]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 5], [3, 5]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 5], [3, 5]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [3, 1], [3, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 4], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 1], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[3, 0], [3, 1], [3, 1], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 4], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[3, 0], [3, 1], [3, 0], [3, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 5]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 6]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 7]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 6]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 6]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 7]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 7]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 7], [1, 7]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 4], [2, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 6], [3, 6]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 7], [1, 7]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 7], [3, 6]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 4], [2, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 6], [3, 6]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [3, 2], [3, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 5], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 2], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[3, 0], [3, 2], [3, 2], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 5], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[3, 0], [3, 2], [3, 0], [3, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 7]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 6]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.row_and_col_separation&#34;, &#34;strategy_class&#34;: &#34;RowColumnSeparationStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;inferrable&#34;: true, &#34;possibly_empty&#34;: false, &#34;workable&#34;: true}}]}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;EquivalencePathRule&#34;, &#34;rules&#34;: [{&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 2], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 2], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 1], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 5]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 5], [0, 5]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [3, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [3, 1], [3, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 4], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 1], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[3, 0], [3, 1], [3, 1], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 4], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[3, 0], [3, 1], [3, 0], [3, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 5]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_placement&#34;, &#34;strategy_class&#34;: &#34;RequirementPlacementStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}], &#34;indices&#34;: [0], &#34;direction&#34;: 0, &#34;own_col&#34;: true, &#34;own_row&#34;: true, &#34;include_empty&#34;: false}}, {&#34;class_module&#34;: 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{&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 4], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 1], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[3, 0], [3, 1], [3, 1], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 4], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[3, 0], [3, 1], [3, 0], [3, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 5]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 6]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 6]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 6]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 6], [0, 6]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 4], [2, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 6], [0, 6]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 4], [2, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [3, 2], [3, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 5], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 2], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[3, 0], [3, 2], [3, 2], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 5], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[3, 0], [3, 2], [3, 0], [3, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 6]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.row_and_col_separation&#34;, &#34;strategy_class&#34;: &#34;RowColumnSeparationStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;inferrable&#34;: true, &#34;possibly_empty&#34;: false, &#34;workable&#34;: true}}]}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;VerificationRule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.verification&#34;, &#34;strategy_class&#34;: &#34;BasicVerificationStrategy&#34;}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;VerificationRule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}, &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.verification&#34;, &#34;strategy_class&#34;: &#34;BasicVerificationStrategy&#34;}}, {&#34;class_module&#34;: &#34;tilings.strategies.verification&#34;, &#34;rule_class&#34;: &#34;OneByOneVerificationRule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.verification&#34;, &#34;strategy_class&#34;: &#34;OneByOneVerificationStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;basis&#34;: [[0, 2, 3, 4, 1], [0, 2, 4, 3, 1], [0, 3, 2, 4, 1], [0, 3, 4, 2, 1], [0, 4, 2, 3, 1], [0, 4, 3, 2, 1], [4, 0, 2, 3, 1], [4, 0, 3, 2, 1]], &#34;symmetry&#34;: true}}, {&#34;class_module&#34;: &#34;tilings.strategies.verification&#34;, &#34;rule_class&#34;: &#34;OneByOneVerificationRule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}, &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.verification&#34;, &#34;strategy_class&#34;: &#34;OneByOneVerificationStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;basis&#34;: [[0, 2, 3, 4, 1], [0, 2, 4, 3, 1], [0, 3, 2, 4, 1], [0, 3, 4, 2, 1], [0, 4, 2, 3, 1], [0, 4, 3, 2, 1], [4, 0, 2, 3, 1], [4, 0, 3, 2, 1]], &#34;symmetry&#34;: true}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;VerificationRule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [], &#34;pos&#34;: []}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, &#34;strategy&#34;: {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.strategy&#34;, &#34;strategy_class&#34;: &#34;EmptyStrategy&#34;}}]}<br /><br />